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Bzier曲线和曲面包围的面积和体积算法

刘鼎元   

  1. 复旦大学数学研究所
  • 出版日期:1987-03-14 发布日期:1987-03-14

刘鼎元. Bzier曲线和曲面包围的面积和体积算法[J]. 计算数学, 1987, 9(3): 327-336.

ALGORITHMS FOR COMPUTING AREA AND VOLUME BOUNDED BY B(?)ZIER CURVES AND SURFACES

  1. Liu Ding-yuan Institute of Mathematics, Fudan University
  • Online:1987-03-14 Published:1987-03-14
§1.引言 曲线、曲面造型和立体造型的理论和方法是迅速发展的 CAD/CAM技术的重要基础之一.在造船、航空、汽车、模具、机械和建筑等行业的CAD系统中,经常需要计算平面上闭曲线包围的面积以及三维立体图形的表面积和体积.
The algorithms for computing(1) area bounded by Bezibr curves and lines in plane,(2) volume bounded by Bezier surfaces and planes are presented in this paper. All the expressions involved in the algorithms are polynomials which make interactive mo-difications convenient in CAD/CAM systems.
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