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

fYear

2013

fDate

16-18 Nov. 2013

Firstpage

413

Lastpage

414

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer-Aided Design and Computer Graphics (CAD/Graphics), 2013 International Conference on

Conference_Location

Guangzhou

Type

conf

DOI

10.1109/CADGraphics.2013.73

Filename

6815037