Name
Abstract | ||
|---|---|---|
This paper considers the deformation of a given surface to a surface that smoothly connects to previously designed surfaces while reflecting the overall shape of the initial surface. We introduce deformation energy using a Laplacian-based functional, which is defined by the global differential geometric structures of the initial surface. It is shown that the proposed deformation energy does not depend on representations of the initial surface, and relates to the mean curvature vector, a geometric quantity correlated to overall surface shape, and also has a good computational property. An example is presented to demonstrate the effectiveness of our method. |
Year | DOI | Venue |
|---|---|---|
1996 | 10.1016/0167-8396(95)00025-9 | Computer Aided Geometric Design |
Keywords | Field | DocType |
constrained optimization,deformation energy,differential geometric structure,global differential geometric structure,overall surface shape,overall shape,surface deformation,initial surface,geometric quantity,proposed deformation energy,mean curvature vector,good computational property,laplacian,smooth connection,mean curvature | Topology,Surface deformation,Mean curvature flow,Mathematical analysis,Mean curvature,Surface shape,Geometric shape,Deformation (mechanics),Geometry,Mathematics,Constrained optimization,Laplace operator | Journal |
Volume | Issue | ISSN |
13 | 3 | Computer Aided Geometric Design |
Citations | PageRank | References |
2 | 0.50 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Masahiro Kimura | 1 | 2 | 0.50 |
| Takafumi Saito | 2 | 180 | 23.77 |
| Mikio Shinya | 3 | 244 | 35.35 |