Spline approximations of real algebraic surfaces
文献类型：期刊论文
| 作者 | Bajaj, CL; Xu, GL |
| 刊名 | JOURNAL OF SYMBOLIC COMPUTATION
 |
| 出版日期 | 1997-02-01 |
| 卷号 | 23期号:2-3页码:315-333 |
| ISSN号 | 0747-7171 |
| 英文摘要 | We use a combination of both symbolic and numerical techniques to construct several degree bounded G(0) and G(1) continuous, piecewise spline approximations of real implicit algebraic surfaces for both computer graphics and geometric modeling. These approximations are based upon an adaptive triangulation (a G(0) planar approximation) of the real components of the algebraic surface, and include both singular points and singular curves on the surface. A curvilinear wireframe is also constructed using minimum bending energy, parametric curves with additionally normals varying along them. The spline approximations over the triangulation or curvilinear wireframe could be one of several forms: either low degree, implicit algebraic splines (triangular A-patches) or multivariate functional B-splines (B-patches) or standardized rational Bernstein-Bezier patches (RBB), or triangular rational B-Splines. The adaptive triangulation is additionally useful for a rapid display and animation of the implicit surface. (C) 1997 Academic Press Limited. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:A1997WT34300013 |
| 出版者 | ACADEMIC PRESS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/28973]  |
| 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 | CHINESE ACAD SCI,INST COMPUTAT MATH,BEIJING,PEOPLES R CHINA |
| 推荐引用方式 GB/T 7714 | Bajaj, CL,Xu, GL. Spline approximations of real algebraic surfaces[J]. JOURNAL OF SYMBOLIC COMPUTATION,1997,23(2-3):315-333. |
| APA | Bajaj, CL,&Xu, GL.(1997).Spline approximations of real algebraic surfaces.JOURNAL OF SYMBOLIC COMPUTATION,23(2-3),315-333. |
| MLA | Bajaj, CL,et al."Spline approximations of real algebraic surfaces".JOURNAL OF SYMBOLIC COMPUTATION 23.2-3(1997):315-333. |
入库方式： OAI收割
来源：数学与系统科学研究院
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