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<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN-GB
style='font-size:12.0pt'>Hi <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN-GB
style='font-size:12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN-GB
style='font-size:12.0pt'>I am facing the problem of </span></font><u><span
lang=EN>finding the minimum-3D box enclosing AS CLOSE AS POSSIBLE a set of 3D
mesh points</span></u><span lang=EN> . <o:p></o:p></span></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN
style='font-size:12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN
style='font-size:12.0pt'>I would like to avoid the use of a too-sophisticated
algorithm .<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN
style='font-size:12.0pt'>(cf. http://en.wikipedia.org/wiki/Minimum_bounding_box_algorithms)<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN
style='font-size:12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN
style='font-size:12.0pt'>Actually, when used straightforwardly, the method
“</span></font><font size=2 face=CMTT10><span lang=EN-GB
style='font-size:11.0pt;font-family:CMTT10'>BoundingBox” </span></font><span
lang=EN>available in a gmesh-session </span><font size=2 face=CMTT10><span
lang=EN-GB style='font-size:11.0pt;font-family:CMTT10'>returns a </span></font><span
lang=EN>3D box <o:p></o:p></span></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN
style='font-size:12.0pt'>which box does not always correspond to the minimum
volume enclosing the set of points <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN
style='font-size:12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><i><font size=4 face="Times New Roman"><span lang=EN
style='font-size:14.0pt;font-style:italic'>( imagine a thin and not
fully-planar shape tilted in respect to the axes of a standard
coordinates-frame )<o:p></o:p></span></font></i></p>
<p class=MsoNormal><i><font size=4 face="Times New Roman"><span lang=EN
style='font-size:14.0pt;font-style:italic'><o:p> </o:p></span></font></i></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN
style='font-size:12.0pt'>In fact, the matter comes from the bulk orientation of
the envelop of the set of points under consideration.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=CMTT10><span lang=EN-GB style='font-size:
11.0pt;font-family:CMTT10'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=CMTT10><span lang=EN-GB style='font-size:
11.0pt;font-family:CMTT10'>The usage is : <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=CMTT10><span lang=EN-GB style='font-size:
11.0pt;font-family:CMTT10'>BoundingBox { </span></font><font size=2
face=CMSLTT10><span lang=EN-GB style='font-size:11.0pt;font-family:CMSLTT10'>expression</span></font><font
size=2 face=CMTT10><span lang=EN-GB style='font-size:11.0pt;font-family:CMTT10'>,
</span></font><font size=2 face=CMSLTT10><span lang=EN-GB style='font-size:
11.0pt;font-family:CMSLTT10'>expression</span></font><font size=2 face=CMTT10><span
lang=EN-GB style='font-size:11.0pt;font-family:CMTT10'>, </span></font><font
size=2 face=CMSLTT10><span lang=EN-GB style='font-size:11.0pt;font-family:CMSLTT10'>expression</span></font><font
size=2 face=CMTT10><span lang=EN-GB style='font-size:11.0pt;font-family:CMTT10'>,
</span></font><font size=2 face=CMSLTT10><span lang=EN-GB style='font-size:
11.0pt;font-family:CMSLTT10'>expression</span></font><font size=2 face=CMTT10><span
lang=EN-GB style='font-size:11.0pt;font-family:CMTT10'>, </span></font><font
size=2 face=CMSLTT10><span lang=EN-GB style='font-size:11.0pt;font-family:CMSLTT10'>expression</span></font><font
size=2 face=CMTT10><span lang=EN-GB style='font-size:11.0pt;font-family:CMTT10'>,
</span></font><font size=2 face=CMSLTT10><span lang=EN-GB style='font-size:
11.0pt;font-family:CMSLTT10'>expression </span></font><font size=2 face=CMTT10><span
lang=EN-GB style='font-size:11.0pt;font-family:CMTT10'>};<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=CMR10><span lang=EN-GB style='font-size:
11.0pt;font-family:CMR10'>what forces the bounding box of the scene to the
given </span></font><font size=2 face=CMSL10><span lang=EN-GB style='font-size:
11.0pt;font-family:CMSL10'>expression</span></font><font size=2 face=CMR10><span
lang=EN-GB style='font-size:11.0pt;font-family:CMR10'>s (X min, X max,</span></font><font
size=4 face=CMR10><span lang=EN-GB style='font-size:14.0pt;font-family:CMR10'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=CMR10><span lang=ES style='font-size:11.0pt;
font-family:CMR10'>Y min, Y max, Z min, Z max).</span></font><font size=2
face=CMTT10><span lang=ES style='font-size:10.0pt;font-family:CMTT10'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=ES
style='font-size:12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN
style='font-size:12.0pt'>Therefore, I am wandering if there is a way of
operating the “</span></font><font size=2 face=CMTT10><span
lang=EN-GB style='font-size:11.0pt;font-family:CMTT10'>BoundingBox”
method in order to get in the end the truly-</span></font><span lang=EN>minimum
3D box enclosing. <o:p></o:p></span></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN
style='font-size:12.0pt'>Actually, I guess that there is a preliminary thing to
do related to the coordinates system ; maybe I am wrong.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN
style='font-size:12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN
style='font-size:12.0pt'>Well, I would appreciate it very much if anyone could supply
me for any piece of information regarding my problem. <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN
style='font-size:12.0pt'>Thanks a lot in advance for your attention and your
cooperation.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN
style='font-size:12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-GB style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN-GB
style='font-size:12.0pt'>Regards<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN-GB
style='font-size:12.0pt'>Henri Pascal-Jenny <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN-GB
style='font-size:12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
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