Name
Abstract | ||
|---|---|---|
This paper presents a method for generating implicit surfaces from polygon soups based on compactly supported radial basis functions (CSRBFs). The surface is represented as the zero level set of an implicit function which interpolates the polygonal data with their outward normal constraints. By specifying two parameters, the support size and the shape parameter, users can flexibly control the accuracy of the reconstructed surfaces. For determining coefficients of RBFs, our method uses a quasi-interpolation framework to avoid solving a large linear system, which allows processing large meshes efficiently and robustly. Moreover, a relationship between the shape parameter and the support radius is provided for the quasi-solution validity, and an error bound of the reconstructed surfaces approximating the original models is deduced through the rigorous theoretical analysis. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/s00371-018-1529-3 | The Visual Computer |
Keywords | Field | DocType |
Implicit surface, Quasi-interpolation, Reconstruction, Polygon soup, Compactly supported radial basis function | Applied mathematics,Mathematical optimization,Polygon,Radial basis function,Polygon mesh,Linear system,Computer science,Level set,Implicit function,Shape parameter | Journal |
Volume | Issue | ISSN |
34 | 6-8 | 0178-2789 |
Citations | PageRank | References |
0 | 0.34 | 22 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shengjun Liu | 1 | 116 | 13.79 |
| Jintao Xiao | 2 | 0 | 0.34 |
| Ling Hu | 3 | 20 | 5.79 |
| Xinru Liu | 4 | 7 | 3.81 |