| Shape Modification and Deformation of Parametric Surfaces |
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| 作者单位： | Wang Xiaoping1 Ye Zhenglin1 Hu Xiaomin2 1. Department of Mathematics and Information Science，Northwestern Polytechnical University，Xian 710072，China 2. School of Science，Hangzhou institute of Electronic Engineering，Hangzhou 310037，China |
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| 摘 要： |
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Shape Modification and Deformation of Parametric Surfaces |
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| Authors: | Wang Xiaoping Ye Zhenglin Hu Xiaomin |
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| Affiliation: | Wang Xiaoping1 Ye Zhenglin1 Hu Xiaomin2 1. Department of Mathematics and Information Science,Northwestern Polytechnical University,Xian 710072,China 2. School of Science,Hangzhou institute of Electronic Engineering,Hangzhou 310037,China |
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| Abstract: | A new method for shape modification or deformation of all kinds of parametric surfaces is presented. Instead of using any control mesh and designing any auxiliary tools for modification or deformation, this method only needs to multiply the equation of the original surface by several shape operator matrixes so that deformation effects are achieved. Due to introducing interactive control parameters with different properties those parameters can be changed to get more ideal effects of deformation or shape modification. The core of the method is that so-called cosine extension function is proposed by which the shape operator matrix can be created. Experiment shows that the method is simple, intuitive and easy to control, and diversified local deformations or shape modifications can easily be made via small and random variations of interactive control parameters. |
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| Keywords: | deformation parametric surface cosine extension function |
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