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<div class="moz-cite-prefix">Hello Paul,<br>
<br>
Le 10/09/2018 à 09:29, Carrico, Paul a écrit :<br>
</div>
<blockquote type="cite"
cite="mid:3A6B7233274DB449A2A0053A47684F953FEBA16A@BGS-EX01.auxitrol.ad">
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pre
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<div class="WordSection1">
<p class="MsoPlainText">Dear all<o:p></o:p></p>
<p class="MsoPlainText"><o:p> </o:p></p>
<p class="MsoPlainText"><span lang="EN-US">Thanks Christophe,
Rafael and Stéphane for the first feedback;
<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">Only obvious things
in the code hereafter, but it highlights I guess what I
would like to do (to cross section the surface); the results
are not really noisy and their number is of about few
hundred.<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">Concerning the
Delaunay approach, I thought about it but I've been thinking
a simplest solution may exist if I can plot the surface
(interpolation from the grid) ?</span></p>
</div>
</blockquote>
in your set of (x_i,y_i,z_i) 3D points, are the (x_i,y_i) organized
on a grid, i.e. cartesian product [discrete values of x] times
[discrete values of y] ?<br>
<br>
S.<br>
<br>
<blockquote type="cite"
cite="mid:3A6B7233274DB449A2A0053A47684F953FEBA16A@BGS-EX01.auxitrol.ad">
<div class="WordSection1">
<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">Paul<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="MsoNormal"><span
style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR"
lang="EN-US">mode</span><span
style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">(</span><span
style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR"
lang="EN-US">0</span><span
style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">)</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:#B01813;mso-fareast-language:FR"
lang="EN-US">function</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US">
<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
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US">
<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
style="font-family:Monospaced;color:#B01813;mso-fareast-language:FR"
lang="EN-US">endfunction</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:#B01813;mso-fareast-language:FR"
lang="EN-US">function</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US">
<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">x_square</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">d</span></b><span
style="color:#4A55DB">)</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US">
<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">d</span></b><span
style="color:#5C5C5C">^</span><span
style="color:rosybrown">2</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:#B01813;mso-fareast-language:FR"
lang="EN-US">endfunction</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:#B01813;mso-fareast-language:FR"
lang="EN-US">function</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US">
<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">y_square</span></u><span
style="color:#4A55DB">(</span><b><span
style="color:#834310">y</span></b><span
style="color:black">,
</span><b><span style="color:#834310">d</span></b><span
style="color:#4A55DB">)</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US">
<b><span style="color:#834310">z</span></b> <span
style="color:#5C5C5C">=</span> <b>
<span style="color:#834310">y</span></b><span
style="color:#5C5C5C">^</span><span
style="color:rosybrown">2</span>
<span style="color:#5C5C5C">-</span> <b><span
style="color:#834310">d</span></b><span
style="color:#5C5C5C">^</span><span
style="color:rosybrown">2</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:#B01813;mso-fareast-language:FR"
lang="EN-US">endfunction</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-family:Monospaced;color:#64AE64;mso-fareast-language:FR"
lang="EN-US">// surface making ... of course in the real
life the surface comes from experimental data (no
Cartesian equation is attached on))</span></i><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="ES">n</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="ES">
<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
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="ES">x</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="ES">
<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
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="ES">y</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="ES">
<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
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="ES">z</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="ES">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">feval</span><span
style="color:#4A55DB">(</span><span style="color:black">x,y,<u>saddle</u></span><span
style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="ES">scf</span><span
style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR"
lang="ES">(</span><span
style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR"
lang="ES">0</span><span
style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR"
lang="ES">)</span><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="ES">;</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="ES"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR"
lang="ES">plot3d</span><span
style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR"
lang="ES">(</span><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="ES">x,y,z</span><span
style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR"
lang="ES">)</span><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="ES">;</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="ES"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="ES"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span
style="font-family:Monospaced;color:#64AE64;mso-fareast-language:FR"
lang="EN-US">// obvious cases</span></i><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><i><span
style="font-family:Monospaced;color:#64AE64;mso-fareast-language:FR"
lang="EN-US">// n = (0 1 0) then z = x^2 - d^2</span></i><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="EN-US">d</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US">
<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
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="EN-US">z1</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <u><span
style="color:black">x_square</span></u><span
style="color:#4A55DB">(</span><span style="color:black">x,d</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="EN-US">scf</span><span
style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">(</span><span
style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR"
lang="EN-US">1</span><span
style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">)</span><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="EN-US">;</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="EN-US">plot</span><span
style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">(</span><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="EN-US">x,z1</span><span
style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">)</span><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="EN-US">;</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span
style="font-family:Monospaced;color:#64AE64;mso-fareast-language:FR"
lang="EN-US">// n = (1 0 0) then z = d^2 - y^2</span></i><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="ES">d</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="ES">
<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
style="font-family:Monospaced;color:black;mso-fareast-language:FR"
lang="ES">z2</span><span
style="font-family:Monospaced;mso-fareast-language:FR"
lang="ES">
<span style="color:#5C5C5C">=</span> <u><span
style="color:black">y_square</span></u><span
style="color:#4A55DB">(</span><span style="color:black">y,d</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR">scf</span><span
style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span
style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">2</span><span
style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR">;</span><span
style="font-family:Monospaced;mso-fareast-language:FR"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR">plot</span><span
style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR">x,z2</span><span
style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span
style="font-family:Monospaced;color:black;mso-fareast-language:FR">;</span><span
style="font-family:Monospaced;mso-fareast-language:FR"><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"><o:p> </o:p></span></p>
<p class="MsoPlainText"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoPlainText"><span style="mso-fareast-language:FR">-----Message
d'origine-----<br>
De : users [<a class="moz-txt-link-freetext" href="mailto:users-bounces@lists.scilab.org">mailto:users-bounces@lists.scilab.org</a>] De la
part de Dang Ngoc Chan, Christophe<br>
Envoyé : lundi 10 septembre 2018 09:15<br>
À : Users mailing list for Scilab<br>
Objet : [EXTERNAL] Re: [Scilab-users] A plane intersecting a
surface</span></p>
<p class="MsoPlainText"><o:p> </o:p></p>
<p class="MsoPlainText">Hello,<o:p></o:p></p>
<p class="MsoPlainText"><o:p> </o:p></p>
<p class="MsoPlainText">> De : users
[<a class="moz-txt-link-freetext" href="mailto:users-bounces@lists.scilab.org">mailto:users-bounces@lists.scilab.org</a>] De la part de Rafael
Guerra<o:p></o:p></p>
<p class="MsoPlainText">> Envoyé : samedi 8 septembre 2018
14:52<o:p></o:p></p>
<p class="MsoPlainText">><o:p> </o:p></p>
<p class="MsoPlainText">> If your cloud of points behaves
well enough, you can interpolate it first into a dense<o:p></o:p></p>
<p class="MsoPlainText"><o:p> </o:p></p>
<p class="MsoPlainText">If nobody is expert in this field, then
I could invoke a memory when I was a student.<o:p></o:p></p>
<p class="MsoPlainText">I've heard about an algorithm using
intercept with tetrahedrons,<o:p></o:p></p>
<p class="MsoPlainText">it was used for surface rendering.<o:p></o:p></p>
<p class="MsoPlainText"><o:p> </o:p></p>
<p class="MsoPlainText">So you might perform a Delaunay
tessellation of your cloud,<o:p></o:p></p>
<p class="MsoPlainText">determine which tetrahedrons are cut<o:p></o:p></p>
<p class="MsoPlainText">and determine the coordinates of the
intercepts.<o:p></o:p></p>
<p class="MsoPlainText"><o:p> </o:p></p>
<p class="MsoPlainText">Or ask some CGI specialists.<o:p></o:p></p>
<p class="MsoPlainText"><o:p> </o:p></p>
<p class="MsoPlainText">HTH<o:p></o:p></p>
<p class="MsoPlainText"><o:p> </o:p></p>
<p class="MsoPlainText">Regards<o:p></o:p></p>
<p class="MsoPlainText"><o:p> </o:p></p>
<p class="MsoPlainText"><o:p> </o:p></p>
<p class="MsoPlainText">--<o:p></o:p></p>
<p class="MsoPlainText">Christophe Dang Ngoc Chan<o:p></o:p></p>
<p class="MsoPlainText">Mechanical calculation engineer<o:p></o:p></p>
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<pre class="moz-signature" cols="72">--
Stéphane Mottelet
Ingénieur de recherche
EA 4297 Transformations Intégrées de la Matière Renouvelable
Département Génie des Procédés Industriels
Sorbonne Universités - Université de Technologie de Compiègne
CS 60319, 60203 Compiègne cedex
Tel : +33(0)344234688
<a class="moz-txt-link-freetext" href="http://www.utc.fr/~mottelet">http://www.utc.fr/~mottelet</a></pre>
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