Title :
G2-Continuity Extension Algorithm for Disk B-Spline Curve
Author :
Ting Zhang ; Xingce Wang ; Qianqian Jiang ; Zhongke Wu ; Mingquan Zhou ; Hock Soon Seah
Author_Institution :
Coll. of Inf. Sci. & Technol., Beijing Normal Univ., Beijing, China
Abstract :
Curve extension is a useful function in CAD systems. Disk B-Spline curve has its distinct advantages in representing a 2D region. This paper presents an algorithm for extending the disk B-Spline curve. A disk Bezier segment is used to construct the extending part and G2-continuity can be used to describe the smoothness of the joint disk. Fairness of the extending disk Bezier segment is achieved by minimizing an energy objective function. New control disks are computed by unclamping algorithm to represent the whole extended disk B-Spline curve. The experimental results demonstrate the effectiveness of our method.
Keywords :
curve fitting; splines (mathematics); 2D region; CAD systems; G2-continuity extension algorithm; control disks; curve extension; disk B-Spline curve; disk Bezier segment; energy objective function; extended disk B-Spline curve; joint disk; unclamping algorithm; Algorithm design and analysis; Animation; Design automation; Educational institutions; Joints; Linear programming; Splines (mathematics); Disk B-Spline Curve; Energy Objective Function; Extension Algorithm; G2-continuity;
Conference_Titel :
Computer-Aided Design and Computer Graphics (CAD/Graphics), 2013 International Conference on
Conference_Location :
Guangzhou
DOI :
10.1109/CADGraphics.2013.73
