Smooth Convergence of Subdivision and Degree Elevation for Bezier Tensor Product Surfaces

机译：Bezier张量乘积曲面的细分和度高的平滑收敛

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Bezier subdivision and degree elevation algorithms generate piecewise bilinear approximations of Bezier tensor product surfaces that converge to the original Bezier tensor product surfaces. In this paper, by the uniform parameterization of control meshes

机译：Bezier细分和度高算法生成Bezier张量积曲面的分段双线性逼近，这些分段收敛到原始Bezier张量积曲面。本文通过控制网格的均匀参数化

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来源
《Digital Media and Its Application in Museum and Heritage (DMAMH), 2007 Second Workshop on》|2007年|P.158-162|共5页
会议地点 Chongqing P.R.China
作者
Xuejuan Chen; Xiao-Ming Zeng;
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approximation theory; computational geometry; convergence of numerical methods; differentiation; mesh generation; Bezier degree elevation; Bezier subdivision; Bezier tensor product surfaces; control meshes; discrete partial derivatives; piecewise bilinear function;

机译：近似理论计算几何；数值方法的收敛；分化网格生成；贝塞尔角高度贝塞尔细分贝塞尔张量积曲面;控制网格；离散偏导数分段双线性函数;
入库时间 2022-08-26 14:37:56

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专利

1. On the smooth convergence of subdivision and degree elevation for Bezier curves [J] . Geraldine Morin, Ron Goldman Computer Aided Geometric Design . 2001,第7期

机译：Bezier曲线细分和度高的平滑收敛
2. Convergence and smoothness of tensor-product of two non-uniform linear subdivision schemes [J] . Costanza Conti, Nira Dyn Computer Aided Geometric Design . 2018,第NOVa期

机译：两种非均匀线性细分方案张量积的收敛性和光滑性
3. On the convergence of approximating tensor-product rational Bézier surfaces using tensor-product Bézier surfaces [J] . Huixia Xu, Renfang Wang, Zhenyu Shu, Journal of Approximation Theory . 2014,第Null期

机译：关于使用张量积Bézier曲面逼近张量积有理Bézier曲面的收敛性
4. Smooth Convergence of Subdivision and Degree Elevation for Bezier Tensor Product Surfaces [C] . Xuejuan Chen, Xiao-Ming Zeng Workshop on Digital Media and Its Application in Museum Heritage . 2007

机译：Bezier张量产品表面的细分和程度高度的平稳收敛性
5. Smooth subdivision surfaces: Mesh blending and local interpolation [D] . Wang, Jianzhong 2015

机译：平滑的细分曲面：网格融合和局部插值
6. Test-retest standard error of measurements for full-torso surface topography parameters obtained with the arms at 30 and 90 degrees of elevation in healthy teenagers [O] . E Watkins, Eric Parent, M Emrani, 2010

机译：在健康青少年中手臂在30度和90度仰角下获得的全躯干表面地形参数的测量的重新测试标准误差
7. Syzygies and singularities of tensor product surfaces of bidegree (2,1 [O] . Hal Schenck, Alexandra Seceleanu, Javid Validashti 2012

机译：bidegree张量积表面的奇异性和奇异性（2,1

Smooth Convergence of Subdivision and Degree Elevation for Bezier Tensor Product Surfaces

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