Nurbs approximation of A-splines and A-patches

CSpace

	Nurbs approximation of A-splines and A-patches
	Bajaj, CL ; Xu, GL ; Holt, RJ ; Netravali, AN
	2003-10-01
发表期刊	INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS
ISSN	0218-1959
卷号	13 期号:5 页码:359-390
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.
关键词	NURBS surface rendering algebraic patches
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:000186556400001
出版者	WORLD SCIENTIFIC PUBL CO PTE 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/18897
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.