Cutting template for frustum
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 From:  Karsten (KMRQUS)
8753.21 In reply to 8753.20 
Hello Brian,

that's it, what I tried to explain in this post: http://moi3d.com/forum/index.php?webtag=MOI&msg=8745.4. Maybe it was a to short description. Useful is also to check the uv structure of the cone and unwrapped surface with the iscocuve command. Switch from both to u and have a look to both faces. Also helpful can be to place an object e.g. a normal line or a sphere to the outside of the cone before flow curves to the unwrapped surface. It gives you later an orientation information. For simple geometry not necessary, but the day will come that you can't decide if the result is correct (complicated cutouts/asymetrics).

Have a nice day and thanks to Michael for the details
Karsten
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 From:  gunter511
8753.22 
Thank you ALL for your help. Your support is really invaluable :)

Happy New Year!
Gunter
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 From:  bemfarmer
8753.23 In reply to 8753.21 
Thank you Karsten.

My understanding of Isocurves, UV, and NURBS is improving, but more study is needed :-)

- Brian
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 From:  Karsten (KMRQUS)
8753.24 In reply to 8753.23 
Hello Brian,

there is no deeper understanding needed. If you want, start with the simplest form of a curve - a line with start and end point (P0,P1). You can describe every point of the curve by a parameter u in this form: Pm(u)=(1-u)*P0+u*P1 with 1-u;u as weight/blending functions. The sum of both is always 1.

Now take a second line with P2,P3
Pn(u)=(1-u)*P2+u*P3

Now create a line between the curves with a parameter v:

PS(u,v)=(1-v)*Pm(u)+v*Pn(u)

This describes a ruled surface, better a point on it.
If one parameter is constant and the other is variable, you describe a iso curve. If you use more points and want to use Bezier have a look to Bernstein polynoms ---- 1-u;u are basic ones. If you want to use other e.g. spline you have to use different ones.

Have a nice day
Karsten
p.s.: No magic, nothing mystic - very simple vector math, but some of the guys try to give it a special flavour with mystic math symbols!

EDITED: 27 Dec 2017 by KMRQUS

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