| 一种基于偏微分方程的蒙面曲面的构造方法 |
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| 引用本文： | 朱婧,余正生,郭玉清.一种基于偏微分方程的蒙面曲面的构造方法[J].杭州电子科技大学学报,2012,32(2):19-22. |
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| 作者姓名： | 朱婧 余正生 郭玉清 |
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| 作者单位： | 杭州电子科技大学图形图像研究所,浙江杭州,310018 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 该文以偏微分方程方法构造曲面的理论为基础,研究了基于偏微分方程的蒙面曲面构造,并对3D球蒙面曲面进行优化。首先采用微分方程中的叠加原理,把基于偏微分方程的扫描曲面分为基曲面和形变曲面来构造;其次运用对参数沿其梯度反方向递进迭代的方法使曲面能量函数达极值,同时边界曲线参数区域收敛,从而优化蒙面曲面。
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| 关 键 词： | 偏微分方程 蒙面曲面 能量函数 |
The Pipe Surface Reconstruction Method Based on Masked Ball Skinning Surface |
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| ZHU Jing
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YU Zheng-sheng
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GUO Yu-qing.The Pipe Surface Reconstruction Method Based on Masked Ball Skinning Surface[J].Journal of Hangzhou Dianzi University,2012,32(2):19-22. |
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| Authors: | ZHU Jing YU Zheng-sheng GUO Yu-qing |
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| Affiliation: | (Institute of Computer Graphics and Image Processing,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China) |
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| Abstract: | This paper researchs the construction of masked surface based on the partial differential equation theory and achieves optimization of 3D masked ball surface.First,use the superposition principle in the differential equations to divide the PDE-based scanning surface into the base surface and deformed surface;Second,use the parameters along the gradient of the opposite direction of its progressive iterative approach to make surface energy function extreme,while the boundary curve parameters of regional convergence,so as to optimize the masked surface. |
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| Keywords: | partial differential equation masked surface the energy function |
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