Name
Abstract | ||
|---|---|---|
This paper develops a novel volumetric parameterization and spline construction framework, which is an effective modeling tool for converting surface meshes to volumetric splines. Our new splines are defined upon a novel parametric domain called generalized polycubes (GPCs). A GPC comprises a set of regular cube domains topologically glued together. Compared with conventional polycubes (CPCs), the GPC is much more powerful and flexible and has improved numerical accuracy and computational efficiency when serving as a parametric domain. We design an automatic algorithm to construct the GPC domain while also permitting the user to improve shape abstraction via interactive intervention. We then parameterize the input model on the GPC domain. Finally, we devise a new volumetric spline scheme based on this seamless volumetric parameterization. With a hierarchical fitting scheme, the proposed splines can fit data accurately using reduced number of superfluous control points. Our volumetric modeling scheme has great potential in shape modeling, engineering analysis, and reverse engineering applications. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/TVCG.2012.177 | IEEE transactions on visualization and computer graphics |
Keywords | Field | DocType |
numerical accuracy,parametric domain,shape abstraction,volumetric parameterization,hierarchical fitting scheme,gpc domain,volumetric spline conversion,computational efficiency,mesh generation,new volumetric spline scheme,novel parametric domain,computational geometry,volumetric modeling scheme,novel volumetric parameterization,effective modeling tool,superfluous control points,interactive intervention,engineering analysis,reverse engineering applications,cpc,gpc,shape modeling,conventional polycubes,regular cube domain,spline construction framework,volumetric spline,splines (mathematics),seamless volumetric parameterization,surface mesh,generalized polycube,generalized polycubes,shape,algorithm design and analysis,solid modeling,topology,solids,computational modeling | Spline (mathematics),Polygon mesh,Computer science,Computational geometry,Artificial intelligence,Computer vision,Mathematical optimization,Algorithm design,Algorithm,Parametric statistics,Solid modeling,Mesh generation,Cube | Journal |
Volume | Issue | ISSN |
19 | 9 | 1941-0506 |
Citations | PageRank | References |
28 | 0.89 | 30 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bo Li | 1 | 71 | 5.73 |
| Xin Li | 2 | 258 | 19.84 |
| Kexiang Wang | 3 | 103 | 6.35 |
| Hong Qin | 4 | 2120 | 184.31 |