Name
Abstract | ||
|---|---|---|
a natural extension of surface parameterizaiton, volumetric parameterization is becoming more and more popular and exhibiting great advantages in several applications such as medical image analysis, hexahedral meshing etc. This paper presents an efficient volume parameterization algorithm based on harmonic 1-form. Our new algorithm computes three harmonic 1-forms, which can be treated as three vector fields, such that both the divergence and circulation of them are zero. By integrating the three harmonic 1-forms over the entire volumes, we can bijectively map the volume to a cuboid domain. We demonstrate the power of the technique by introducing a new application, to transfer the interior structure during the morphing of two given shapes. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s11042-013-1508-7 | Multimedia Tools and Applications |
Keywords | Field | DocType |
Volumetric parameterization,Harmonic 1-form,Interior structure transfer | Morphing,Hexahedron,Computer vision,Mathematical optimization,Divergence,Parametrization,Computer science,Vector field,Algorithm,Harmonic,Cuboid,Artificial intelligence | Journal |
Volume | Issue | ISSN |
74 | 1 | 1380-7501 |
Citations | PageRank | References |
0 | 0.34 | 25 |
Authors | ||
6 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Juncong Lin | 1 | 105 | 20.73 |
| Jiazhi Xia | 2 | 204 | 17.04 |
| Xing Gao | 3 | 15 | 8.37 |
| Minghong Liao | 4 | 90 | 18.97 |
| Ying He | 5 | 1264 | 105.35 |
| Xianfeng Gu | 6 | 2997 | 189.71 |