Name
Abstract | ||
|---|---|---|
Based on the Hermite variational implicit surface reconstruction presented in Pan et al. (Science in China Series F: Information Sciences 52(2):308---315, 2009), we propose a multi-level interpolation method to overcome the problems resulted from using compactly supported radial basis functions (CSRBFs). In addition, we present a multi-level quasi-interpolation method which directly uses normal vectors to construct non-zero constraints and avoids solving any linear system, a common step of variational surface reconstruction, and leads to a fast and stable surface reconstruction from scattered points. With adaptive support size, our approach is robust and can successfully reconstruct surfaces on non-uniform and noisy point sets. Moreover, as the computation of quasi-interpolation is independent for each point, it can be easily parallelized on multi-core CPUs. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1007/s00371-013-0801-9 | The Visual Computer |
Keywords | Field | DocType |
information sciences,china series f,multi-level interpolation method,stable surface reconstruction,adaptive support size,variational surface reconstruction,noisy point set,scattered point,hermite variational implicit surface,multi-level quasi-interpolation method,multi-level hermite variational interpolation | Nearest-neighbor interpolation,Mathematical optimization,Computer science,Interpolation,Stairstep interpolation,Monotone cubic interpolation,Cubic Hermite spline,Linear interpolation,Hermite interpolation,Birkhoff interpolation | Journal |
Volume | Issue | ISSN |
29 | 6-8 | 1432-2315 |
Citations | PageRank | References |
4 | 0.40 | 27 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shengjun Liu | 1 | 116 | 13.79 |
| Guido Brunnett | 2 | 226 | 44.18 |
| Jun Wang | 3 | 372 | 47.52 |