Name
Abstract | ||
|---|---|---|
Setback vertex blends merge edge blends by broadening them at certain distances from the vertex. In this way an overall smooth transition is provided. The necessity of this type of vertex blend is illustrated by examples. We suggest a scheme where vertex blends are represented by 2n-sided patches, though special cases may also arise with an odd number of sides. Standard polynomial patches are combined according to the so-called setback split, which provides a natural structure to define vertex blends and offers free parameters to adjust the interior shape. The steps to create setback vertex blends and the basic mathematical constraints to be satisfied are illustrated by the control frame construction, which follows a repeated chamfering strategy. The control frame approximates the vertex blend and indirectly determines most of the surface qualities. A few special vertex blends are analysed in the last part of the paper. (C) 1997 Elsevier Science Ltd. |
Year | DOI | Venue |
|---|---|---|
1997 | 10.1016/S0010-4485(96)00070-X | COMPUTER-AIDED DESIGN |
Keywords | Field | DocType |
parametric surfaces, polygonal patches, vertex blending, G(1) continuity, control meshes | Parametric surface,Combinatorics,Polynomial interpolation,Polynomial,Vertex (geometry),Computational geometry,Vertex normal,Mathematics,Setback,Free parameter | Journal |
Volume | Issue | ISSN |
29 | 6 | 0010-4485 |
Citations | PageRank | References |
14 | 1.02 | 11 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tamas Varady | 1 | 92 | 9.43 |
| Alyn Rockwood | 2 | 950 | 179.19 |