DocumentCode
342553
Title
Signed area of sectors between spline curves and the origin
Author
Ueda, Kenji
Author_Institution
Ricoh Co. Ltd., Tokyo, Japan
fYear
1999
fDate
1999
Firstpage
309
Lastpage
314
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Visualization, 1999. Proceedings. 1999 IEEE International Conference on
Conference_Location
London
ISSN
1093-9547
Print_ISBN
0-7695-0210-5
Type
conf
DOI
10.1109/IV.1999.781575
Filename
781575
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