Name
Abstract | ||
|---|---|---|
In this paper, we present a novel algorithm for constructing a volumetric T-spline from B-reps inspired by constructive solid geometry Boolean operations. By solving a harmonic field with proper boundary conditions, the input surface is automatically decomposed into regions that are classified into two groups represented, topologically, by either a cube or a torus. We perform two Boolean operations (union and difference) with the primitives and convert them into polycubes through parametric mapping. With these polycubes, octree subdivision is carried out to obtain a volumetric T-mesh, and sharp features detected from the input model are also preserved. An optimization is then performed to improve the quality of the volumetric T-spline. The obtained T-spline surface is C 2 everywhere except the local region surrounding irregular nodes, where the surface continuity is elevated from C 0 to G 1. Finally, we extract trivariate Bézier elements from the volumetric T-spline and use them directly in isogeometric analysis. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1007/s00366-013-0346-6 | Engineering with Computers |
Keywords | DocType | Volume |
volumetric t-spline,boolean operations,polycubes,isogeometric analysis,parametric mapping,sharp feature,boundaries,boolean algebra,geometry,volume,algorithms | Conference | 30 |
Issue | ISSN | Citations |
4 | 1435-5663 | 12 |
PageRank | References | Authors |
0.67 | 19 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lei Liu | 1 | 47 | 3.00 |
| Yongjie Zhang | 2 | 293 | 34.45 |
| Thomas J. R. Hughes | 3 | 208 | 25.49 |
| michael a scott | 4 | 61 | 4.69 |
| thomas w sederberg | 5 | 2330 | 466.48 |