Efficient, fair interpolation using Catmull-Clark surfaces
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Wavelets for computer graphics: theory and applications
Wavelets for computer graphics: theory and applications
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
| Hi-index | 0.00 |
An algorithm for discretization of parametric 3D surfaces has been extended to the family of discrete surfaces represented by a triangular mesh of arbitrary topology. The limit surface is reconstructed from the mesh using the modified Butterfly scheme which is an interpolation subdivision technique yielding a C1 surface. The recovered surface is discretized directly in the physical space by the advancing front technique, thereby parameterization of the surface is not required. The mesh gradation is controlled by the octree data structure that simultaneously serves as a localization tool for the intersection investigation. Considering the discrete nature of the surface, a special attention has to be paid to the proper implementation of the point-to-surface projection algorithm in order to achieve robustness and reasonable efficiency of the algorithm. The performance of the proposed strategy is presented on a few examples.