Arbitrary law-based curve and surface modeling. Part 2

by - 21:39

(Continuation of part1)
 Same approach works for surfaces. In this case GeomConvert_ApproxSurface and Adaptor3d_Surface classes should be used in exact same manner.

Below are a few examples of creating law surfaces.

The first case is an example of creating a variable offset surface, where a surface is defined as follows:
S(u,v) = B(u,v) + Offset(u,v) * N (u,v), where
B(u,v) is a basis surface,
N (u,v) is a unit normal to the basis surface,
Offset (u,v) is a function C + u ^ 2 + v ^ 2, where C is constant.

The two below examples apply such offset laws to plane and sphere respectively. The basis surface B is in red, and the resulting surface S – in green.

The other example below demonstrates surface warping, where a planar face is twisted along one of its directions:

Enjoy! :-)

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