<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=us-ascii">
<meta name="Generator" content="Microsoft Word 15 (filtered medium)">
<style><!--
/* Font Definitions */
@font-face
{font-family:SimSun;
panose-1:2 1 6 0 3 1 1 1 1 1;}
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
@font-face
{font-family:Monospaced;}
@font-face
{font-family:"\@SimSun";
panose-1:2 1 6 0 3 1 1 1 1 1;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0cm;
margin-bottom:.0001pt;
font-size:11.0pt;
font-family:"Calibri",sans-serif;
mso-fareast-language:EN-US;}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:blue;
text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
{mso-style-priority:99;
color:purple;
text-decoration:underline;}
p.MsoPlainText, li.MsoPlainText, div.MsoPlainText
{mso-style-priority:99;
mso-style-link:"Texte brut Car";
margin:0cm;
margin-bottom:.0001pt;
font-size:11.0pt;
font-family:"Calibri",sans-serif;}
p
{mso-style-priority:99;
mso-margin-top-alt:auto;
margin-right:0cm;
mso-margin-bottom-alt:auto;
margin-left:0cm;
font-size:12.0pt;
font-family:"Times New Roman",serif;}
pre
{mso-style-priority:99;
mso-style-link:"Pr\00E9format\00E9 HTML Car";
margin:0cm;
margin-bottom:.0001pt;
font-size:10.0pt;
font-family:"Courier New";}
span.PrformatHTMLCar
{mso-style-name:"Pr\00E9format\00E9 HTML Car";
mso-style-priority:99;
mso-style-link:"Pr\00E9format\00E9 HTML";
font-family:"Courier New";
mso-fareast-language:FR;}
span.TextebrutCar
{mso-style-name:"Texte brut Car";
mso-style-priority:99;
mso-style-link:"Texte brut";
font-family:"Calibri",sans-serif;}
span.EmailStyle22
{mso-style-type:personal;
font-family:"Arial",sans-serif;
color:#1F497D;}
span.EmailStyle23
{mso-style-type:personal;
font-family:"Arial",sans-serif;
color:windowtext;}
span.EmailStyle24
{mso-style-type:personal-reply;
font-family:"Arial",sans-serif;
color:#1F497D;}
.MsoChpDefault
{mso-style-type:export-only;
font-size:10.0pt;}
@page WordSection1
{size:612.0pt 792.0pt;
margin:70.85pt 70.85pt 70.85pt 70.85pt;}
div.WordSection1
{page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]-->
</head>
<body lang="FR" link="blue" vlink="purple">
<div class="WordSection1">
<p class="MsoPlainText">Hello,<o:p></o:p></p>
<p class="MsoPlainText"><span style="color:black"><o:p> </o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US" style="font-size:10.0pt;font-family:"Arial",sans-serif;color:#1F497D">[sorry Paul, it was mistakedly sent only to you]<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US" style="font-size:10.0pt;font-family:"Arial",sans-serif;color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">A far from optimal solution </span><span lang="EN-US" style="font-size:9.5pt;font-family:"Arial",sans-serif;color:black;background:white">—
</span><span lang="EN-US">not vectorised<span style="color:black">, the points are searched two times (almost each triangle side is common to another one
</span></span><span lang="EN-US" style="font-size:9.5pt;font-family:"Arial",sans-serif;color:black;background:white">—</span><span lang="EN-US"><o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">using the Delaunay <span style="color:black">
tessellation.<o:p></o:p></span></span></p>
<p class="MsoPlainText"><span lang="EN-US" style="font-size:10.0pt;font-family:"Arial",sans-serif;color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">Requires the Atoms module cglab<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#32B9B9;mso-fareast-language:ZH-CN">mode</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">(</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:rosybrown;mso-fareast-language:ZH-CN">0</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">)</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#B01813;mso-fareast-language:ZH-CN">function</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#4A55DB">[</span><b><span style="color:#834310">z</span></b><span style="color:#4A55DB">]</span><span style="color:#5C5C5C">=</span><u><span style="color:black">saddle</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">x</span></b><span style="color:black">,
</span><b><span style="color:#834310">y</span></b><span style="color:#4A55DB">)</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<b><span style="color:#834310">z</span></b> <span style="color:#5C5C5C">=</span> <b>
<span style="color:#834310">x</span></b><span style="color:#5C5C5C">^</span><span style="color:rosybrown">2</span>
<span style="color:#5C5C5C">-</span> <b><span style="color:#834310">y</span></b><span style="color:#5C5C5C">^</span><span style="color:rosybrown">2</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#B01813;mso-fareast-language:ZH-CN">endfunction</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">A</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">[</span><span style="color:rosybrown">1</span>
<span style="color:rosybrown">2</span> <span style="color:rosybrown">3</span> <span style="color:rosybrown">
4</span><span style="color:#4A55DB">]</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#B01813;mso-fareast-language:ZH-CN">function</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#4A55DB">[</span><b><span style="color:#834310">d</span></b><span style="color:#4A55DB">]</span><span style="color:#5C5C5C">=</span><u><span style="color:black">plane</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">A</span></b><span style="color:black">,
</span><b><span style="color:#834310">x</span></b><span style="color:black">, </span>
<b><span style="color:#834310">y</span></b><span style="color:black">, </span><b><span style="color:#834310">z</span></b><span style="color:#4A55DB">)</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<b><span style="color:#834310">d</span></b> <span style="color:#5C5C5C">=</span> <b>
<span style="color:#834310">A</span></b><span style="color:#4A55DB">(</span><span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">*</span><b><span style="color:#834310">x</span></b>
<span style="color:#5C5C5C">+</span> <b><span style="color:#834310">A</span></b><span style="color:#4A55DB">(</span><span style="color:rosybrown">2</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">*</span><b><span style="color:#834310">y</span></b>
<span style="color:#5C5C5C">+</span> <b><span style="color:#834310">A</span></b><span style="color:#4A55DB">(</span><span style="color:rosybrown">3</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">*</span><b><span style="color:#834310">z</span></b>
<span style="color:#5C5C5C">+</span> <b><span style="color:#834310">A</span></b><span style="color:#4A55DB">(</span><span style="color:rosybrown">4</span><span style="color:#4A55DB">)</span><span style="color:black">;</span>
<i><span style="color:#64AE64">// cartesian equation</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#B01813;mso-fareast-language:ZH-CN">endfunction</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// Dichotomy search of the intercept</span></i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:#B01813;mso-fareast-language:ZH-CN">function</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#4A55DB">[</span><b><span style="color:#834310">X</span></b><span style="color:#4A55DB">]</span><span style="color:#5C5C5C">=</span><u><span style="color:black">intercept</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">A</span></b><span style="color:black">,
</span><b><span style="color:#834310">x1</span></b><span style="color:black">, </span>
<b><span style="color:#834310">y1</span></b><span style="color:black">, </span><b><span style="color:#834310">z1</span></b><span style="color:black">,
</span><b><span style="color:#834310">x2</span></b><span style="color:black">, </span>
<b><span style="color:#834310">y2</span></b><span style="color:black">, </span><b><span style="color:#834310">z2</span></b><span style="color:#4A55DB">)</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">epsilon</span> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">
1e-2</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">x</span> <span style="color:#5C5C5C">=</span> <b><span style="color:#834310">x1</span></b><span style="color:black">;</span>
<span style="color:black">y</span> <span style="color:#5C5C5C">=</span> <b><span style="color:#834310">y1</span></b><span style="color:black">;</span>
<span style="color:black">z</span> <span style="color:#5C5C5C">=</span> <b><span style="color:#834310">z1</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">d1</span> <span style="color:#5C5C5C">=</span> <u><span style="color:black">plane</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">A</span></b><span style="color:black">,</span>
<b><span style="color:#834310">x1</span></b><span style="color:black">,</span> <b>
<span style="color:#834310">y1</span></b><span style="color:black">,</span> <b><span style="color:#834310">z1</span></b><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">d2</span> <span style="color:#5C5C5C">=</span> <u><span style="color:black">plane</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">A</span></b><span style="color:black">,</span>
<b><span style="color:#834310">x2</span></b><span style="color:black">,</span> <b>
<span style="color:#834310">y2</span></b><span style="color:black">,</span> <b><span style="color:#834310">z2</span></b><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#A020F0;mso-fareast-language:ZH-CN">if</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#4A55DB">(</span><span style="color:#32B9B9">abs</span><span style="color:#4A55DB">(</span><span style="color:black">d1</span><span style="color:#4A55DB">)</span>
<span style="color:#5C5C5C"><=</span> <span style="color:black">epsilon</span><span style="color:#4A55DB">)</span>
<span style="color:#A020F0">then</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">x</span> <span style="color:#5C5C5C">=</span> <b><span style="color:#834310">x1</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">y</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <b><span style="color:#834310">y1</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">z</span> <span style="color:#5C5C5C">=</span> <b><span style="color:#834310">z1</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">elseif</span> <span style="color:#4A55DB">(</span><span style="color:#32B9B9">abs</span><span style="color:#4A55DB">(</span><span style="color:black">d2</span><span style="color:#4A55DB">)</span>
<span style="color:#5C5C5C"><=</span> <span style="color:black">epsilon</span><span style="color:#4A55DB">)</span>
<span style="color:#A020F0">then</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">x</span> <span style="color:#5C5C5C">=</span> <b><span style="color:#834310">x2</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">y</span> <span style="color:#5C5C5C">=</span> <b><span style="color:#834310">y2</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">z</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <b><span style="color:#834310">z2</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">else</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">cont</span> <span style="color:#5C5C5C">=</span> <span style="color:orchid">
%t</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:#A020F0;mso-fareast-language:ZH-CN">while</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">cont</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">x</span> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">
0.5</span><span style="color:#5C5C5C">*</span><span style="color:#4A55DB">(</span><b><span style="color:#834310">x1</span></b>
<span style="color:#5C5C5C">+</span> <b><span style="color:#834310">x2</span></b><span style="color:#4A55DB">)</span><span style="color:black">;</span>
<span style="color:black">y</span> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">
0.5</span><span style="color:#5C5C5C">*</span><span style="color:#4A55DB">(</span><b><span style="color:#834310">y1</span></b>
<span style="color:#5C5C5C">+</span> <b><span style="color:#834310">y2</span></b><span style="color:#4A55DB">)</span><span style="color:black">;</span>
<span style="color:black">z</span> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">
0.5</span><span style="color:#5C5C5C">*</span><span style="color:#4A55DB">(</span><b><span style="color:#834310">z1</span></b>
<span style="color:#5C5C5C">+</span> <b><span style="color:#834310">z2</span></b><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">d</span> <span style="color:#5C5C5C">=</span> <u><span style="color:black">plane</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">A</span></b><span style="color:black">,</span>
<span style="color:black">x,</span> <span style="color:black">y,</span> <span style="color:black">
z</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#A020F0;mso-fareast-language:ZH-CN">if</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#32B9B9">abs</span><span style="color:#4A55DB">(</span><span style="color:black">d</span><span style="color:#4A55DB">)</span>
<span style="color:#5C5C5C"><=</span> <span style="color:black">epsilon</span> <span style="color:#A020F0">
then</span> <span style="color:black">cont</span> <span style="color:#5C5C5C">=</span>
<span style="color:orchid">%f</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">else</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">if</span> <span style="color:#4A55DB">(</span><span style="color:#32B9B9">sign</span><span style="color:#4A55DB">(</span><span style="color:black">d1</span><span style="color:#5C5C5C">*</span><span style="color:black">d</span><span style="color:#4A55DB">)</span>
<span style="color:#5C5C5C">==</span> <span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span>
<span style="color:#A020F0">then</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><b><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:#834310;mso-fareast-language:ZH-CN">x1</span></b><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:black">x;</span> <b><span style="color:#834310">y1</span></b>
<span style="color:#5C5C5C">=</span> <span style="color:black">y;</span> <b><span style="color:#834310">z1</span></b>
<span style="color:#5C5C5C">=</span> <span style="color:black">z;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">else</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<b><span style="color:#834310">x2</span></b> <span style="color:#5C5C5C">=</span>
<span style="color:black">x;</span> <b><span style="color:#834310">y2</span></b> <span style="color:#5C5C5C">
=</span> <span style="color:black">y;</span> <b><span style="color:#834310">z2</span></b>
<span style="color:#5C5C5C">=</span> <span style="color:black">z;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#A020F0;mso-fareast-language:ZH-CN">end</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">end</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">end</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">end</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<b><span style="color:#834310">X</span></b> <span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">
[</span><span style="color:black">x,</span> <span style="color:black">y,</span> <span style="color:black">
z</span><span style="color:#4A55DB">]</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#B01813;mso-fareast-language:ZH-CN">endfunction</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// surface making ... of course in the real life the surface comes from experimental data (no Cartesian equation is attached on))</span></i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span lang="PT-BR" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">//n = 10;</span></i><span lang="PT-BR" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="PT-BR" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">n</span><span lang="PT-BR" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:rosybrown">50</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="PT-BR" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">x</span><span lang="PT-BR" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:black">linspace</span><span style="color:#4A55DB">(</span><span style="color:#5C5C5C">-</span><span style="color:rosybrown">2</span><span style="color:black">,</span><span style="color:rosybrown">2</span><span style="color:black">,n</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">'</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">y</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:black">linspace</span><span style="color:#4A55DB">(</span><span style="color:#5C5C5C">-</span><span style="color:rosybrown">1</span><span style="color:black">,</span><span style="color:rosybrown">3</span><span style="color:black">,n</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">'</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// reshape</span></i><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">[</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">X,</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">Y</span><span style="color:#4A55DB">]</span> <span style="color:#5C5C5C">
=</span> <span style="color:black">ndgrid</span><span style="color:#4A55DB">(</span><span style="color:black">x,</span>
<span style="color:black">y</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">X</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:#32B9B9">matrix</span><span style="color:#4A55DB">(</span><span style="color:black">X,</span>
<span style="color:#32B9B9">size</span><span style="color:#4A55DB">(</span><span style="color:black">X,</span>
<span style="color:rosybrown">"*"</span><span style="color:#4A55DB">)</span><span style="color:black">,</span>
<span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">'</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">Y</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:#32B9B9">matrix</span><span style="color:#4A55DB">(</span><span style="color:black">Y,</span>
<span style="color:#32B9B9">size</span><span style="color:#4A55DB">(</span><span style="color:black">Y,</span>
<span style="color:rosybrown">"*"</span><span style="color:#4A55DB">)</span><span style="color:black">,</span>
<span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">'</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">Z</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <u><span style="color:black">saddle</span></u><span style="color:#4A55DB">(</span><span style="color:black">X,</span>
<span style="color:black">Y</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// tesselation</span></i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">tri</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:black">delaunay_2</span><span style="color:#4A55DB">(</span><span style="color:black">X,</span>
<span style="color:black">Y</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">nbtri</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:#32B9B9">size</span><span style="color:#4A55DB">(</span><span style="color:black">tri,</span>
<span style="color:rosybrown">"r"</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">points</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">[]</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// detect when the plane crosses the side of a triangle</span></i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// then set the intercept point as the middle</span></i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="IT" style="font-size:9.0pt;font-family:Monospaced;color:#A020F0;mso-fareast-language:ZH-CN">for</span><span lang="IT" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">i</span> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">
1</span><span style="color:#FFAA00">:</span><span style="color:black">nbtri</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="IT" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"> <span style="color:black">x1</span>
<span style="color:#5C5C5C">=</span> <span style="color:black">X</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">1</span><span style="color:#4A55DB">))</span><span style="color:black">;</span>
<span style="color:black">y1</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
Y</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">1</span><span style="color:#4A55DB">))</span><span style="color:black">;</span>
<span style="color:black">z1</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
Z</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">1</span><span style="color:#4A55DB">))</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="IT" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">x2</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
X</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">2</span><span style="color:#4A55DB">))</span><span style="color:black">;</span>
<span style="color:black">y2</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
Y</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">2</span><span style="color:#4A55DB">))</span><span style="color:black">;</span>
<span style="color:black">z2</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
Z</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">2</span><span style="color:#4A55DB">))</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="IT" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">x3</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
X</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">3</span><span style="color:#4A55DB">))</span><span style="color:black">;</span>
<span style="color:black">y3</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
Y</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">3</span><span style="color:#4A55DB">))</span><span style="color:black">;</span>
<span style="color:black">z3</span> <span style="color:#5C5C5C">=</span> <span style="color:black">
Z</span><span style="color:#4A55DB">(</span><span style="color:black">tri</span><span style="color:#4A55DB">(</span><span style="color:black">i,</span>
<span style="color:rosybrown">3</span><span style="color:#4A55DB">))</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="IT" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">d1</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <u><span style="color:black">plane</span></u><span style="color:#4A55DB">(</span><span style="color:black">A,</span>
<span style="color:black">x1,</span> <span style="color:black">y1,</span> <span style="color:black">
z1</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">d2</span> <span style="color:#5C5C5C">=</span> <u><span style="color:black">plane</span></u><span style="color:#4A55DB">(</span><span style="color:black">A,</span>
<span style="color:black">x2,</span> <span style="color:black">y2,</span> <span style="color:black">
z2</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">d3</span> <span style="color:#5C5C5C">=</span> <u><span style="color:black">plane</span></u><span style="color:#4A55DB">(</span><span style="color:black">A,</span>
<span style="color:black">x3,</span> <span style="color:black">y3,</span> <span style="color:black">
z3</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">s1</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">(</span><span style="color:#32B9B9">sign</span><span style="color:#4A55DB">(</span><span style="color:black">d1</span><span style="color:#5C5C5C">*</span><span style="color:black">d2</span><span style="color:#4A55DB">)</span>
<span style="color:#5C5C5C">==</span> <span style="color:#5C5C5C">-</span><span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">s2</span> <span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">
(</span><span style="color:#32B9B9">sign</span><span style="color:#4A55DB">(</span><span style="color:black">d2</span><span style="color:#5C5C5C">*</span><span style="color:black">d3</span><span style="color:#4A55DB">)</span>
<span style="color:#5C5C5C">==</span> <span style="color:#5C5C5C">-</span><span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">s3</span> <span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">
(</span><span style="color:#32B9B9">sign</span><span style="color:#4A55DB">(</span><span style="color:black">d3</span><span style="color:#5C5C5C">*</span><span style="color:black">d1</span><span style="color:#4A55DB">)</span>
<span style="color:#5C5C5C">==</span> <span style="color:#5C5C5C">-</span><span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// bool(i) = s1|s2|s3;</span></i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">if</span> <span style="color:black">s1</span> <span style="color:#A020F0">
then</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<i><span style="color:#64AE64">//points = [points ; 0.5*([x1, y1, z1] + [x2, y2, z2])];</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">points</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">[</span><span style="color:black">points</span>
<span style="color:black">;</span> <u><span style="color:black">intercept</span></u><span style="color:#4A55DB">(</span><span style="color:black">A,</span>
<span style="color:black">x1,</span> <span style="color:black">y1,</span> <span style="color:black">
z1,</span> <span style="color:black">x2,</span> <span style="color:black">y2,</span>
<span style="color:black">z2</span><span style="color:#4A55DB">)]</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#A020F0;mso-fareast-language:ZH-CN">end</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">if</span> <span style="color:black">s2</span> <span style="color:#A020F0">
then</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<i><span style="color:#64AE64">//points = [points ; 0.5*([x2, y2, z2] + [x3, y3, z3])];</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">points</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">[</span><span style="color:black">points</span>
<span style="color:black">;</span> <u><span style="color:black">intercept</span></u><span style="color:#4A55DB">(</span><span style="color:black">A,</span>
<span style="color:black">x2,</span> <span style="color:black">y2,</span> <span style="color:black">
z2,</span> <span style="color:black">x3,</span> <span style="color:black">y3,</span>
<span style="color:black">z3</span><span style="color:#4A55DB">)]</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#A020F0;mso-fareast-language:ZH-CN">end</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#A020F0">if</span> <span style="color:black">s3</span> <span style="color:#A020F0">
then</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<i><span style="color:#64AE64">//points = [points ; 0.5*([x3, y3, z3] + [x1, y1, z1])];</span></i><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">points</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">[</span><span style="color:black">points</span>
<span style="color:black">;</span> <u><span style="color:black">intercept</span></u><span style="color:#4A55DB">(</span><span style="color:black">A,</span>
<span style="color:black">x3,</span> <span style="color:black">y3,</span> <span style="color:black">
z3,</span> <span style="color:black">x1,</span> <span style="color:black">y1,</span>
<span style="color:black">z1</span><span style="color:#4A55DB">)]</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#A020F0;mso-fareast-language:ZH-CN">end</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#A020F0;mso-fareast-language:ZH-CN">end</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#64AE64;mso-fareast-language:ZH-CN">// plot</span></i><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">scf</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">(</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:rosybrown;mso-fareast-language:ZH-CN">0</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">)</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">;</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">clf</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">()</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">;</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:#32B9B9;mso-fareast-language:ZH-CN">plot3d</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">(</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">x,</span><span lang="ES" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:black">y,</span> <span style="color:#32B9B9">feval</span><span style="color:#4A55DB">(</span><span style="color:black">x,</span>
<span style="color:black">y,</span> <u><span style="color:black">saddle</span></u><span style="color:#4A55DB">))</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">surf</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:black">gce</span><span style="color:#4A55DB">()</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;color:#32B9B9;mso-fareast-language:ZH-CN">param3d</span><span style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">(</span><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">points</span><span style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">(</span><span style="font-size:9.0pt;font-family:Monospaced;color:#FFAA00;mso-fareast-language:ZH-CN">:</span><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">,</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span><span style="color:black">,</span>
<span style="color:black">points</span><span style="color:#4A55DB">(</span><span style="color:#FFAA00">:</span><span style="color:black">,</span>
<span style="color:rosybrown">2</span><span style="color:#4A55DB">)</span><span style="color:black">,</span>
<span style="color:black">points</span><span style="color:#4A55DB">(</span><span style="color:#FFAA00">:</span><span style="color:black">,</span>
<span style="color:rosybrown">3</span><span style="color:#4A55DB">))</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">curve</span><span style="font-size:9.0pt;font-family:Monospaced;color:#5C5C5C;mso-fareast-language:ZH-CN">=</span><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">gce</span><span style="font-size:9.0pt;font-family:Monospaced;color:#4A55DB;mso-fareast-language:ZH-CN">()</span><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">;</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">curve</span><span style="font-size:9.0pt;font-family:Monospaced;color:#5C5C5C;mso-fareast-language:ZH-CN">.</span><span style="font-size:9.0pt;font-family:Monospaced;color:#AAAAAA;mso-fareast-language:ZH-CN">mark_mode</span><span style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:rosybrown">"on"</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">curve</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#5C5C5C;mso-fareast-language:ZH-CN">.</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#AAAAAA;mso-fareast-language:ZH-CN">mark_style</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:rosybrown">0</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">curve</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#5C5C5C;mso-fareast-language:ZH-CN">.</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#AAAAAA;mso-fareast-language:ZH-CN">line_mode</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:rosybrown">"off"</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">curve</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#5C5C5C;mso-fareast-language:ZH-CN">.</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#AAAAAA;mso-fareast-language:ZH-CN">mark_foreground</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:rosybrown">5</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:black;mso-fareast-language:ZH-CN">curve</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#5C5C5C;mso-fareast-language:ZH-CN">.</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;color:#AAAAAA;mso-fareast-language:ZH-CN">mark_size</span><span lang="EN-US" style="font-size:9.0pt;font-family:Monospaced;mso-fareast-language:ZH-CN">
<span style="color:#5C5C5C">=</span> <span style="color:rosybrown">1</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">--<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">Christophe Dang Ngoc Chan<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US">Mechanical calculation engineer<o:p></o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US"><o:p> </o:p></span></p>
</div>
This e-mail may contain confidential and/or privileged information. If you are not the intended recipient (or have received this e-mail in error), please notify the sender immediately and destroy this e-mail. Any unauthorized copying, disclosure or distribution
of the material in this e-mail is strictly forbidden.
</body>
</html>