Generation of a planar offset curve based on minimum distance
by Zheng-Sheng Yu, Min-jae Oh, Zhi-Geng Pan, Qun-Sheng Peng
International Journal of Computer Aided Engineering and Technology (IJCAET), Vol. 1, No. 3, 2009

Abstract: A robust algorithm for removing both local and global self intersections in a planar offset curve is presented. Our scheme is based on the minimum distance from a point to an original parametric curve. The method consists of the following two steps: 1) in the 2D plane, generation of the field of minimum distance from a point to an original planar parametric curve, 2) in the field, extraction of the iso-curve, regarding the offset distance as the minimum distance. The iso-curve is the non-self-intersection offset curve. Therefore, the advantage of our method is that the planar offset curve does not need to be approximated by a rational curve; however, both local and global self-intersections in the offset curve can be directly and automatically eliminated.

Online publication date: Sun, 12-Jul-2009

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