Title :
Signed area of sectors between spline curves and the origin
Author_Institution :
Ricoh Co. Ltd., Tokyo, Japan
Abstract :
Formulas for representing the signed area of sectors between Bezier and B-spline curve segments and the origin are presented. The area is expressed by using the coordinates of the control points and coefficients calculated with the basis functions of the spline curves. Area-preserving deformations of the spline curves by moving the control points are also investigated
Keywords :
computational geometry; deformation; splines (mathematics); B-spline curve segments; Bezier curves; area-preserving deformations; basis functions; control points; sectors; signed area; spline curves; Spline;
Conference_Titel :
Information Visualization, 1999. Proceedings. 1999 IEEE International Conference on
Conference_Location :
London
Print_ISBN :
0-7695-0210-5
DOI :
10.1109/IV.1999.781575
