Bézier曲面在三角域和矩形域上的互化 |
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引用本文: | 王骏.Bézier曲面在三角域和矩形域上的互化[J].计算数学,1993,15(1):5-15. |
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作者姓名: | 王骏 |
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作者单位: | 浙江温州商校 |
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摘 要: | Bezier曲面是CAD/CAM中应用最为广泛的曲面之一。它可分为两类:矩形域上张量积形式的Bezier曲面:三角域上的Bezier曲面:
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关 键 词: | Bezier曲面 三角域 矩形域 |
CONVERSION BETWEEN B(?)ZIER RECTANGLES AND B(?)ZIER TRIANGLES |
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Institution: | Wang Jun Wenzhou Commercial School |
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Abstract: | In this paper, two explicit conversion formulas, which are different from these in 1],2] and 3], are derived between Bezier rectangles and Bezier triangles, by using the eleva-tion operator aod the difference operator. Two corresponding efficient and stable algorithmswith comparisons with other algorithms are also presented. In the cases of lower degree inpractical use straightforward results are presented. |
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