Mathematical Model of Catmull-Clark Subdivision Scheme on Regular Mesh

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	Mathematical Model of Catmull-Clark Subdivision Scheme on Regular Mesh
	Liu, Shu-qun; Zhang, Bei
	2017
关键词	Subdivision interpolation mathematical expression B-spline surface
卷号	118
页码	180-186
英文摘要	In order to further simplify the research of limit surface properties and establish a unified mathematical model. According to Catmull-Clark subdivision method in the regular mesh at the subdivision rules, a method of calculating the mathematical expression of limit surface by interpolation was presented by using the subdivision method which is described by the curves and surfaces interpolation theory. And according to the process of solving, we prove that the limit surface which generated by the Catmull-Clark subdivision method in the regular mesh is a bi-cubic B-spline surface.
会议录	PROCEEDINGS OF THE 2017 2ND INTERNATIONAL CONFERENCE ON AUTOMATION, MECHANICAL CONTROL AND COMPUTATIONAL ENGINEERING (AMCCE 2017)
会议录出版者	ATLANTIS PRESS
会议录出版地	29 AVENUE LAVMIERE, PARIS, 75019, FRANCE
语种	英语
WOS研究方向	Computer Science ; Operations Research & Management Science
WOS记录号	WOS:000417154700031
内容类型	会议论文
源URL	[http://119.78.100.223/handle/2XXMBERH/36216]
专题	兰州理工大学
通讯作者	Zhang, Bei
作者单位	Lanzhou Univ Technol, Sch Comp & Commun, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Liu, Shu-qun,Zhang, Bei. Mathematical Model of Catmull-Clark Subdivision Scheme on Regular Mesh[C]. 见:.