Cubic B-spline curve approximation by curve unclamping |
| |
Authors: | Xiao-Diao Chen Weiyin Ma |
| |
Affiliation: | a Department of MEEM, City University of Hong Kong, Hong Kong, PR China b Hangzhou Dianzi University, Hangzhou, 310018, PR China c School of Software, Tsinghua University, Beijing 100084, PR China d INRIA, France |
| |
Abstract: | A new approach for cubic B-spline curve approximation is presented. The method produces an approximation cubic B-spline curve tangent to a given curve at a set of selected positions, called tangent points, in a piecewise manner starting from a seed segment. A heuristic method is provided to select the tangent points. The first segment of the approximation cubic B-spline curve can be obtained using an inner point interpolation method, least-squares method or geometric Hermite method as a seed segment. The approximation curve is further extended to other tangent points one by one by curve unclamping. New tangent points can also be added, if necessary, by using the concept of the minimum shape deformation angle of an inner point for better approximation. Numerical examples show that the new method is effective in approximating a given curve and is efficient in computation. |
| |
Keywords: | Approximation Cubic B-spline Inner point interpolation method Curve unclamping |
本文献已被 ScienceDirect 等数据库收录! |
|