Name
Title | ||
|---|---|---|
Efficient piecewise higher-order parametrization of discrete surfaces with local and global injectivity. |
Abstract | ||
|---|---|---|
The parametrization of triangle meshes, in particular by means of computing a map onto the plane, is a key operation in computer graphics. Typically, a piecewise linear setting is assumed, i.e., the map is linear per triangle. We present a method for the efficient computation and optimization of piecewise nonlinear parametrizations, with higher-order polynomial maps per triangle. We describe how recent advances in piecewise linear parametrization, in particular efficient second-order optimization based on majorization, as well as practically important constraints, such as local injectivity, global injectivity, and seamlessness, can be generalized to this higher-order regime. Not surprisingly, parametrizations of higher quality, i.e., lower distortion, can be obtained that way, as we demonstrate on a variety of examples. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.cad.2020.102862 | Computer-Aided Design |
Keywords | DocType | Volume |
Bézier triangles,Curved meshes,Hessian majorization | Journal | 127 |
ISSN | Citations | PageRank |
0010-4485 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Manish Mandad | 1 | 11 | 2.20 |
| Marcel Campen | 2 | 407 | 23.47 |