We present a smooth surface construction based on the manifold approach of Grimm and Hughes. We demonstrate how this approach can relatively easily produce a number of desirable properties which are hard to achieve simultaneously with polynomial patches, subdivision or variational surfaces. Our surfaces are C ∞-continuous with explicit nonsingular C ∞rameterizations, high-order flexible at control vertices, depend linearly on control points, have fixed-size local support for basis functions, and have good visual quality.
|Number of pages||5|
|Journal||ACM Transactions on Graphics|
|Publication status||Published - 2004|
|Event||ACM Transactions on Graphics - Proceedings of ACM SIGGRAPH 2004 - |
Duration: 9 Aug 2004 → 12 Aug 2004
- Geometric modeling