Loading...
Please wait, while we are loading the content...
Similar Documents
Abstract Approximate Continuity for Parametric Bézier Patches
| Content Provider | CiteSeerX |
|---|---|
| Author | Liu, Yingbin David, R. |
| Abstract | In this paper, we present a piecewise cubic, parametric surface scheme to interpolate positions and normals on a triangulated data set. For each data triangle, we fit three triangular cubic patches in a Clough-Tocher like arrangement. However, while we construct the micro-patches to meet each other C 1, we only require approximate G 1 continuity across macro-patches boundaries. To control the normal discontinuity on the macro-patch boundaries, neighbouring patches are constructed to interpolate the position and normals at the ends of their common boundary, as well as to have equal normals at additional points on the boundary. The resulting scheme constructs patches with similar shape to the quartic Shirman-Séquin construction, and has better shape than Peters ’ G 1 cubic scheme on near singular data. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Parametric Zier Patch Abstract Approximate Continuity Quartic Shirman-s Quin Construction Macro-patch Boundary Scheme Construct Patch Normal Discontinuity Additional Point Singular Data Data Triangle Cubic Scheme Parametric Surface Scheme Common Boundary Piecewise Cubic Equal Normal Triangulated Data Set Similar Shape Macro-patches Boundary Triangular Cubic Patch |
| Content Type | Text |