Merging a pair of disk Bézier curves

• DOI: 10.1145/988834.988845
• Publication Date: 2004-07-20T11:55:38Z
• Authors: Wu Yang; Falai Chen
• Keywords: Parametric equation; Family of curves; Curve fitting; Geometric design; Tripling-oriented Doche–Icart–Kohel curve

A disk Bézier curve is a whose control points are disks in plane. It can be viewed as parametric with error tolerances. In this paper, we discuss the problem of merging pair curves, that is, bounding two adjacent curves by single curve. We propose an efficient method to solve problem. The basic idea merge center original and take merged curve, then compute radius solving some optimization problems. Furthermore, it shown degree elevation will improve effect.