Name
Abstract | ||
|---|---|---|
Offset surfaces play an important role in various CAD/CAM applications. Given a set of oriented points, we propose a hierarchical method in this paper to fit both the zero-level surface and its offset surface with a single implicit function. The implicit function is formed by compactly supported radial basis functions (CSRBFs). Different from other existing methods in literature, our approach reconstructs an implicit function which interpolates or approximates both the zero-level surface and the offset surface of a given point set, simultaneously. Employing locally supported functions leads to an efficient computational procedure, while the coarse-to-fine hierarchy makes our approach insensitive to the density of scattered data and allows us to reconstruct large parts of missing data. The performance of our method is demonstrated by a number of examples and the application of adaptive slicing hollowed models in rapid prototyping. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.cad.2008.10.008 | Computer-Aided Design |
Keywords | Field | DocType |
offset surface,surface reconstruction,cad/cam,duplex fitting,radial basis function,hollowed model,implicit function,implicit surface,cam application,hierarchical method,existing method,zero-level surface,scattered data,point set,missing data,single implicit function,cad cam,support function | CAD,Rapid prototyping,Surface reconstruction,Mathematical optimization,Radial basis function,Slicing,Algorithm,Implicit function,Missing data,Geometry,Mathematics,Offset (computer science) | Journal |
Volume | Issue | ISSN |
41 | 4 | Computer-Aided Design |
Citations | PageRank | References |
7 | 0.51 | 33 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shengjun Liu | 1 | 116 | 13.79 |
| Charlie C. L. Wang | 2 | 1280 | 100.10 |