Curves and Surfaces Design With Geometric Constraint By Subdivision Scheme
نویسندگان
چکیده
Abstract The aim of this paper is to investigate curve or surface design and modeling with geometric constraint by subdivision scheme. To construct a curve with a given length, constraint is employed on the free parameter of a newly proposed 4-point approximating subdivision scheme. Feasibility to this problem is investigated, convergence and smoothness analysis are presented, and more properties about the cases of degenerate or strong-degenerate polygon are discussed. It is shown that the problem of curve design with arc-length constraint can not be solved by using the subdivision scheme for strongdegenerate initial polygon. In the end of the paper, some geometric modeling examples are given to illustrate the efficiency of the mentioned method.
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