| 四边形网格上的递归曲面表示 |
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| 引用本文： | 王若梅,罗笑南.四边形网格上的递归曲面表示[J].中山大学学报论丛,1996(6). |
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| 作者姓名： | 王若梅 罗笑南 |
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| 作者单位： | 中山大学计算机科学系 |
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| 基金项目： | 广东省自然科学基金资助项目 |
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| 摘 要： | 利用直积的方法给出了四边形网格上递归曲面的定义，并由此引入了Ｌ曲面和Ｗ曲面．得到了Ｌ曲面的求导公式、基底表示、包络定理和把Ｌ曲面表示为等价的Ｂｅｚｉｅｒ曲面的表示公式．证明了平行四边形域上Ｗ曲面具有保凸性．
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| 关 键 词： | 递归曲面，L曲面，W曲面，包络，保凸性 |
Recurrence Surfaces on Quadrilateral Mesh |
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| Wang Ruomei.Recurrence Surfaces on Quadrilateral Mesh[J].Supplement to the Journal of Sun Yatsen University,1996(6). |
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| Authors: | Wang Ruomei |
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| Institution: | Wang RuomeiDepartment of Computer Science,Zhongshan University,Guangzhou 510275 Luo Xiaonan |
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| Abstract: | In this paper the recurrence surface on quadrilateral mesh with method of tensor product, is defined and thereby introduce L surface and W surface. formulae for derivation, basis function properties, envelope theorems of L surface and a equivalent representation of the L surface into Bezier surface are obtained. finally the result that the W surface on parallelogram have the convexity preserving has been proued. |
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| Keywords: | recurrence surface L surface W surface envelope convexity preserving |
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