Nurbs approximation of A-splines and A-patches

	Nurbs approximation of A-splines and A-patches
	Bajaj, CL ; Xu, GL ; Holt, RJ ; Netravali, AN
刊名	INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS
	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
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号	WOS:000186556400001
内容类型	期刊论文
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.