Spline approximations of real algebraic surfaces

CSpace

	Spline approximations of real algebraic surfaces
	Bajaj, CL; Xu, GL
	1997-02-01
发表期刊	JOURNAL OF SYMBOLIC COMPUTATION
ISSN	0747-7171
卷号	23 期号:2-3 页码:315-333
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.
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied
WOS记录号	WOS:A1997WT34300013
出版者	ACADEMIC PRESS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/28974
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.