Modeling surfaces of arbitrary topology using manifolds

11 years 9 months ago
Modeling surfaces of arbitrary topology using manifolds
We describe an extension of B-splines to surfacesof arbitrary topology, including arbitrary boundaries. The technique inherits many of the properties of B-splines: local control, a compact representation, and guaranteed continuity of arbitrary degree. The surface is specified using a polyhedral control mesh instead of a rectangular one; the resulting surface approximates the polyhedral mesh much as a B-spline approximates its rectangular control mesh. Like a Bspline, the surfaceis a single, continuousobject. This is achievedby modeling the domain of the surface with a manifold whose topology matches that of the polyhedral mesh, then embedding this domain into 3-space using a basis-function/control-point formulation. We provide a constructive approach to building a manifold. CR Categories: I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling, Curve, Surface, Solid, and Object Representations, Splines
Cindy Grimm, John F. Hughes
Added 26 Aug 2010
Updated 26 Aug 2010
Type Conference
Year 1995
Authors Cindy Grimm, John F. Hughes
Comments (0)