Name
Abstract | ||
|---|---|---|
The offset surfaces to non-developable quadratic triangular Bezier patches are rational surfaces. In this paper we give a direct proof of this result and formulate an algorithm for computing the parameterization of the offsets. Based on the observation that quadratic triangular patches are capable of producing C^1 smooth surfaces, we use this algorithm to generate rational approximations to offset surfaces of general free-form surfaces. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.cad.2007.10.008 | Computer-Aided Design |
Keywords | Field | DocType |
zier surface patch,computing exact rational offset,quadratic bézier triangular surface patches,quadratic triangular patch,direct proof,steiner surfaces,offsets,convolution surfaces,rational approximation,general free-form surface,quadratic triangular bezier patch,smooth surface,rational surface,convolution | Mathematical optimization,Parametrization,Quadratic equation,Bézier surface,Bézier curve,Mathematics,Offset (computer science),Direct proof | Journal |
Volume | Issue | ISSN |
40 | 2 | Computer-Aided Design |
Citations | PageRank | References |
16 | 0.66 | 35 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bohumír Bastl | 1 | 136 | 10.49 |
| Bert Jüttler | 2 | 1148 | 96.12 |
| Jiří Kosinka | 3 | 91 | 6.53 |
| Miroslav LáVičKa | 4 | 158 | 11.36 |