Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (28): 184-186.DOI: 10.3778/j.issn.1002-8331.2009.28.055
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MOU Hai-ning
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牟海宁
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Abstract: The convexity preservation of implicit blending surfaces is studied.This paper proves that the smooth connection of two implicit algebraic surfaces is convex under some conditions.Further，it blends the given convex trihedral angle by algebraic splines and then proves that the blending surfaces obtained by the method have the property of convex preservation.
Key words: implicit surface blending, convexity preservation, algebraic splines
摘要： 对隐式代数磨光曲面的保凸性进行了研究。证明了如果两个隐式代数曲面是凸的，则它们光滑拼接后，得到的磨光曲面在一定条件下仍然是凸的。以凸三面角为例，提出了利用代数样条磨光的方法并证明了利用这种磨光方法得到的磨光曲面具有保凸性。
关键词: 隐式曲面磨光, 保凸性, 代数样条
CLC Number:
TB115
MOU Hai-ning. Study of convexity preservation of implicit blending surfaces[J]. Computer Engineering and Applications, 2009, 45(28): 184-186.
牟海宁. 隐式磨光曲面的保凸性研究[J]. 计算机工程与应用, 2009, 45(28): 184-186.
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URL: http://cea.ceaj.org/EN/10.3778/j.issn.1002-8331.2009.28.055
http://cea.ceaj.org/EN/Y2009/V45/I28/184
