Ray tracing parametric surface patches utilizing numerical techniques and ray coherence
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Adaptive polygonization of parametric surfaces
The Visual Computer: International Journal of Computer Graphics
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Automatic triangular mesh generation of trimmed parametric surfaces for finite element analysis
Computer Aided Geometric Design
Scan line methods for displaying parametrically defined surfaces
Communications of the ACM
Proceedings of the sixth ACM symposium on Solid modeling and applications
Near-Optimal Adaptive Polygonization
CGI '99 Proceedings of the International Conference on Computer Graphics
Ray tracing parametric patches
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
Re-Meshing Techniques for Topological Analysis
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Interactive rendering of parametric spline surfaces
Interactive rendering of parametric spline surfaces
Triangulation and display of rational parametric surfaces
VIS '94 Proceedings of the conference on Visualization '94
Aspect ratio- and size-controlled patterned triangulations of parametric surfaces
CGIM '07 Proceedings of the Ninth IASTED International Conference on Computer Graphics and Imaging
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This paper describes a new technique for the triangulation of parametric surfaces. Most earlier methods sample the parameter domain, and the wrong choice of parameterization can spoil the triangulation or even cause the algorithm to fail. Conversely, we use a local tessellation primitive to sample and triangulate the surface. The sampling is almost uniform and the parameterization becomes irrelevant. If sampling density or triangle shape has to be adaptive, the resulting uniform mesh can be used either as an initial coarse mesh for a refinement process, or as a fine mesh to be reduced.