Signed Area of Sectors Between Spline Curves and the Origin

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IV '99 Proceedings of the 1999 International Conference on Information Visualisation
Year:
1999

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Journal of Mathematical Imaging and Vision

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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.