| 一类PDE曲面的动态变形设计及应用 |
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| 引用本文： | 马巧燕,赵乃良,余正生.一类PDE曲面的动态变形设计及应用[J].科技通报,2011,27(2):171-176. |
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| 作者姓名： | 马巧燕 赵乃良 余正生 |
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| 作者单位： | 杭州电子科技大学,图形图像研究所,杭州310018 |
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| 基金项目： | 浙江省自然科学基金(Y1090609) |
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| 摘 要： | 研究了一类偏微分方程(PDE)曲面的动态变形方法.将模型的特征线用动力学四阶偏微分方程来描述,特征线发生改变后,通过采用PDE方法来重构出变形后的曲面模型,则曲面的变形即可相应地由特征线的变形得到.该方法只需要对PDE的几个参数进行调整就可以控制曲面的变形,简单易操作.所得的曲面变形效果自然连贯,在艺术曲面造型设计中具...
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| 关 键 词： | 曲面变形 特征线 偏微分方程 曲面重构 |
A Class of Dynamic Deformation PDE Surfaces and Its Applications |
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| MA Qiaoyan,ZHAO Nailiang,YU Zhengsheng.A Class of Dynamic Deformation PDE Surfaces and Its Applications[J].Bulletin of Science and Technology,2011,27(2):171-176. |
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| Authors: | MA Qiaoyan ZHAO Nailiang YU Zhengsheng |
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| Institution: | MA Qiaoyan,ZHAO Nailiang,YU Zhengsheng (Institute of Graphics and Image,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China) |
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| Abstract: | This paper studies a method of dynamic deformation surfaces based on a class of partial differential equations(PDE).The characteristic curves are described by fourth order PDE,and can be changed by the time parameter.The surfaces are also reconstructed by PDE together with the characteristic curves as boundary constrains.As result,the PDE surfaces are the dynamic deformation surfaces controlled by several parameters.The algorithm is easy to operate,and the examples of deformated surfaces are smooth and cohe... |
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| Keywords: | surface deformation characteristic curve partial differential equations surface reconstruction |
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