样条曲线与原点之间扇形的带符号面积

1999 IEEE International Conference on Information Visualization (Cat. No. PR00210) Pub Date : 1999-07-14 DOI:10.1109/IV.1999.781575

Kanji Ueda

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引用次数: 4

摘要

给出了表示Bezier和b样条曲线段与原点之间扇区的带符号面积的公式。该面积由控制点的坐标和由样条曲线的基函数计算的系数表示。还研究了通过移动控制点来实现样条曲线的保面积变形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Signed area of sectors between spline curves and the origin

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.

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1999 IEEE International Conference on Information Visualization (Cat. No. PR00210)

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