C++ library that supports basic geometric operations related to non-rational freeform geometric entities : Bezier/Bspline Curves, Surfaces, and Volumes
This library supports following functionalities :
- For given degree, knots, and control points, build freeform curve, surface, and volume
- For given parameter, compute point and derivative on the freeform entity
- Convert between Bezier and Bspline formats : especially, Bezier form of Bspline entity is automatically calculated and used for acceleration
- For given parameter or parameter domain, subdivide the freeform entity or extract subset of it
This library supports non-rational Bezier/Bspline curves in 2D/3D space. This library supports following functionalities for curves :
- For given parameter, compute curvature of the curve
The picture below shows simple 3D Bezier curve and its derivatives at some sample points.
This library supports non-rational Bezier/Bspline surfaces in 2D/3D space. This library supports following functionalities for surfaces :
- For given parameter, compute normal vector of the surface
- For given parameter, compute curvature information - Gaussian and Mean curvature, Principal directions and curvatures - of the surface
The picture below shows simple 3D Bezier surface, its normal vectors, and its principal directions at some sample points.
This library supports non-rational Bezier/Bspline volumes in 3D space. The picture below shows simple 3D Bezier volume.
