| 有理曲线的近似隐式化表示 |
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| 引用本文： | 陈发来. 有理曲线的近似隐式化表示[J]. 计算机学报, 1998, 21(9): 855-859 |
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| 作者姓名： | 陈发来 |
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| 作者单位： | 中国科学技术大学数学系,合肥,230026 |
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| 基金项目： | 国家自然科学基金，国家教委博士点基金，教委与科学院留学回国人员科研启动基金 |
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| 摘 要： | 本文首次提出了曲线近似隐式化的概念，给出了求曲线的近似隐式化表示的有效算法，并以实例说明了算法有效性以及研究这一问题的重要意义。
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| 关 键 词： | 有理曲线 近似隐式化 CAGD 计算机图形学 |
APPROXIMATE IMPLICITIZATION OF RATIONAL CURVES |
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| CHEN Fa-lai. APPROXIMATE IMPLICITIZATION OF RATIONAL CURVES[J]. Chinese Journal of Computers, 1998, 21(9): 855-859 |
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| Authors: | CHEN Fa-lai |
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| Abstract: | Given a parametric rational curve or surface,the procedure of finding its implicit equationis called implicitization of the rational curve or surface. The problem of implicitizing rational curvesand surfaces has much important theoretic meanings in Computer Aided Geometric Design and Computer Graphics, and much work has been done in this area. But the practical usefulness of implicitization is hampered by the complex representation of the implicit equations of high degree rationalcurves and surfaces. This paper put forward a new concept called approximate implicitization of rational curves and give an efficient algorithm to find the approximate implicit representation of a rational curve. Examples are provided to illustrate the efficiency of the algorithm and the importanceof the new concept. |
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| Keywords: | Rational curve algebraic curve approximate implicitization |
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