Nurbs approximation of A-splines and A-patches
文献类型：期刊论文
| 作者 | Bajaj, CL; Xu, GL; Holt, RJ; Netravali, AN |
| 刊名 | INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS
 |
| 出版日期 | 2003-10-01 |
| 卷号 | 13期号:5页码:359-390 |
| 关键词 | NURBS surface rendering algebraic patches |
| ISSN号 | 0218-1959 |
| 英文摘要 | Given A-spline curves and A-patch surfaces that are implicitly defined on triangles and tetrahedra, we determine their NURBS representations. We provide a trimmed NURBS form for A-spline curves and a parametric tensor-product NURBS form for A-patch surfaces. We concentrate on cubic A-patches, providing a C-1-continuous surface that interpolates a given triangulation together with surface normals at the vertices. In many cases we can generate cubic trimming curves that are rationally parametrizable on the triangular faces of the tetrahedra; for the remaining faces we resort to using quadratic curves, which are always rationally parametrizable, to approximate the cubic trimming curves. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000186556400001 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18896]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Bajaj, CL |
| 作者单位 | 1.Univ Texas, Dept Comp Sci, Austin, TX 78712 USA 2.Univ Texas, Inst Computat & Engn Sci, Austin, TX 78712 USA 3.Chinese Acad Sci, Inst Computat Math, Beijing 100864, Peoples R China 4.Lucent Technol, Bell Labs, Murray Hill, NJ 07974 USA |
| 推荐引用方式 GB/T 7714 | Bajaj, CL,Xu, GL,Holt, RJ,et al. Nurbs approximation of A-splines and A-patches[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS,2003,13(5):359-390. |
| APA | Bajaj, CL,Xu, GL,Holt, RJ,&Netravali, AN.(2003).Nurbs approximation of A-splines and A-patches.INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS,13(5),359-390. |
| MLA | Bajaj, CL,et al."Nurbs approximation of A-splines and A-patches".INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS 13.5(2003):359-390. |
入库方式： OAI收割
来源：数学与系统科学研究院
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