Name
Abstract | ||
|---|---|---|
Given several algebraic surfaces and corresponding auxiliary planes, a scheme for constructing a piecewise algebraic surface to blend the given surfaces is presented along the intersection curves of the given surfaces and their corresponding auxiliary planes. The algorithm starts with the suitable partition of the 3D space into tetrahedrons or prisms in which the algebraic surface patches are defined. Then a smooth piecewise algebraic surface of low degree is constructed which meets the initial surfaces with a certain order of geometric continuity. Examples are provided to demonstrate the detailed construction process and to compare our method with previous approaches. The results show some advantages of the new blending method. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1006/gmod.2001.0552 | Graphical Models |
Keywords | Field | DocType |
piecewise algebraic surface,blending,quadric surface,piecewise algebraic surfaces,geometric continuity,algebraic surfaces | Singular point of an algebraic variety,Mathematical optimization,Dimension of an algebraic variety,Function field of an algebraic variety,Mathematical analysis,Differential algebraic geometry,Intersection theory,Algebraic surface,Geometry,Real algebraic geometry,Mathematics,Quadric | Journal |
Volume | Issue | ISSN |
63 | 4 | Graphical Models |
Citations | PageRank | References |
15 | 0.79 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chen Changsong | 1 | 19 | 4.11 |
| Falai Chen | 2 | 403 | 32.47 |
| Yuyu Feng | 3 | 117 | 18.77 |