Conversion between triangular Bézier patches and rectangular Bézier patches
Conversion between triangular Bézier patches and rectangular Bézier patches
复制标题
三角形贝塞尔面片和矩形贝塞尔面片之间的转换
DOI：
10.1016/j.amc.2014.01.030
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发表时间：
2014-04
影响因子：
4
通讯作者：
Jiongfeng Liang
中科院分区：
文献类型：
--
作者：
Lanlan Yan;Xuli Han;Jiongfeng Liang
In this paper, two explicit conversion formulae between triangular and rectangular Bézier patches are derived. Using the formulae, one triangular Bézier patch of degree n can be converted into one rectangular Bézier patch of degree n× n. And one rectangular Bézier patch of degree m× n can be converted into two triangular Bézier patches of degree m+ n. Besides, two stable recursive algorithms corresponding to the two conversion formulae are given. Using the algorithms, when converting triangular Bézier patches to rectangular Bézier patches, we can computer the relations between the control points of the two types of patches for any n⩾ 2 based on the relationships for n= 1. When converting rectangular Bézier patches to triangular Bézier patches, we can computer the relations between the control points of the two types of patches for any m⩾ 2, n∈ N+ and n⩾ 2, m∈ N+ based on the relationships for m= n= 1.
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DOI：
10.1016/s0167-8396(01)00060-7
发表时间：
2001-10
期刊：
Comput. Aided Geom. Des.
影响因子：
--
作者：
Shimin Hu
通讯作者：
Shimin Hu
DOI：
10.1016/0167-8396(95)00023-2
发表时间：
1996-04
期刊：
Comput. Aided Geom. Des.
影响因子：
--
作者：
Shi Hu
通讯作者：
Shi Hu
影响因子：
0.7
作者：
Shimin Hu
通讯作者：
Shimin Hu
影响因子：
4.3
作者：
Ingrid Brueckner
通讯作者：
Ingrid Brueckner
DOI：
--
发表时间：
--
期刊：
--
影响因子：
--
作者：
Shi Hu;Guozhao Wang;T. Jin
通讯作者：
Shi Hu;Guozhao Wang;T. Jin