<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body dir="auto"><div></div><div>Hello Paul</div><div><br></div><div>Do you have an example of typical 3D data ? Can it be safely projected on a principal plane ? Is it noisy ? </div><div><br></div><div>S.</div><div><br>Le 6 sept. 2018 à 21:50, Carrico, Paul <<a href="mailto:paul.carrico@esterline.com">paul.carrico@esterline.com</a>> a écrit :<br><br></div><blockquote type="cite"><div>
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<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span lang="EN-US">Dear All<o:p></o:p></span></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span lang="EN-US">I’ve not been using scilab for a while, but I’ve a good opportunity to dive into it once again ;-)<o:p></o:p></span></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span lang="EN-US">Is there a tool implemented into Scilab to determine the cross section of a 3D (experimental) surface and a plane?
<o:p></o:p></span></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span lang="EN-US">Note that :<o:p></o:p></span></p>
<p class="MsoListParagraph" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;text-indent:-18.0pt;mso-list:l0 level1 lfo1">
<!--[if !supportLists]--><span lang="EN-US"><span style="mso-list:Ignore">-<span style="font:7.0pt "Times New Roman"">
</span></span></span><!--[endif]--><span lang="EN-US">the curve has not a Cartesian equation and it is composed of a point cloud coming for experimental measurement,<o:p></o:p></span></p>
<p class="MsoListParagraph" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;text-indent:-18.0pt;mso-list:l0 level1 lfo1">
<!--[if !supportLists]--><span lang="EN-US"><span style="mso-list:Ignore">-<span style="font:7.0pt "Times New Roman"">
</span></span></span><!--[endif]--><span lang="EN-US">ideally the tool looks for the closest out of plane points in order to perform interpolations<o:p></o:p></span></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span lang="EN-US">Before reinventing the wheel, I’m wondering if something exists.<o:p></o:p></span></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><i><u><span lang="EN-US">Nb</span></u></i><span lang="EN-US">: I built a saddle surface, but of course only points (not necessary equally spaced) exist in the real life.<o:p></o:p></span></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span lang="EN-US">Thanks for any advice and suggestion<o:p></o:p></span></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span lang="EN-US">Paul<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:"Monospaced","serif";color:#B01813;mso-fareast-language:FR">function</span><span lang="EN-US" style="font-family:"Monospaced","serif";mso-fareast-language:FR">
<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-family:"Monospaced","serif";mso-fareast-language:FR">
<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-family:"Monospaced","serif";color:#B01813;mso-fareast-language:FR">endfunction</span><span lang="EN-US" style="font-family:"Monospaced","serif";mso-fareast-language:FR"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:"Monospaced","serif";mso-fareast-language:FR"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-family:"Monospaced","serif";color:#64AE64;mso-fareast-language:FR">// surface making ... of course in the real life the surface comes from exprimental data (no cartesian equation is attached on))</span></i><span lang="EN-US" style="font-family:"Monospaced","serif";mso-fareast-language:FR"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR">n</span><span style="font-family:"Monospaced","serif";mso-fareast-language:FR">
<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","serif";color:black;mso-fareast-language:FR">x</span><span style="font-family:"Monospaced","serif";mso-fareast-language:FR">
<span style="color:#5C5C5C">=</span> <u><span style="color:#AE5CB0">linspace</span></u><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","serif";color:black;mso-fareast-language:FR">y</span><span style="font-family:"Monospaced","serif";mso-fareast-language:FR">
<span style="color:#5C5C5C">=</span> <u><span style="color:#AE5CB0">linspace</span></u><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","serif";color:black;mso-fareast-language:FR">z</span><span style="font-family:"Monospaced","serif";mso-fareast-language:FR">
<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 lang="EN-US" style="font-family:"Monospaced","serif";color:#32B9B9;mso-fareast-language:FR">plot3d</span><span lang="EN-US" style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR">x,y,z</span><span lang="EN-US" style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR">;</span><span lang="EN-US" style="font-family:"Monospaced","serif";mso-fareast-language:FR"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:"Monospaced","serif";mso-fareast-language:FR"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-family:"Monospaced","serif";color:#64AE64;mso-fareast-language:FR">// plane equation: ax + by + cz + d = 0</span></i><span lang="EN-US" style="font-family:"Monospaced","serif";mso-fareast-language:FR"><o:p></o:p></span></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><o:p></o:p></p>
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