Implicit Surfaces Based on BP Neural Networks

Li Daolun; Lu Detang; Kong Xiangyan; Wu Gang

Journal of Computer Research and Development > 2007 > 44(3): .

Li Daolun, Lu Detang, Kong Xiangyan, Wu Gang. Implicit Surfaces Based on BP Neural Networks[J]. Journal of Computer Research and Development, 2007, 44(3).

Citation:

Li Daolun, Lu Detang, Kong Xiangyan, Wu Gang. Implicit Surfaces Based on BP Neural Networks[J]. Journal of Computer Research and Development, 2007, 44(3).

Citation:

Li Daolun, Lu Detang, Kong Xiangyan, Wu Gang. Implicit Surfaces Based on BP Neural Networks[J]. Journal of Computer Research and Development, 2007, 44(3).

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Implicit Surfaces Based on BP Neural Networks

1(Department of Computer Science and Technology, University of Science & Technology of China, Hefei 230026) 2(Institute of Engineering and Science Software, University of Science & Technology of China, Hefei 230026) 3(Key Laboratory of Software in Computing and Communication of Anhui Province, University of Science and Technology of China, Hefei 230026) 4(Key Laboratory of International Economics and Trade, Nanjing University of Finance and Economics, Nanjing 210003)

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Published Date: March 14, 2007

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Abstract

Abstract

Neural networks, combined with implicit polynomials, can be employed to represent 3D surfaces which are described by the zero-set of a neural network. First, an explicit function is constructed based on the implicit function. Then the explicit function is approximated by a BP neural network. Finally, the zero-set of the neural network which is the implicit surface is extracted from the simulation surface. The method is not sensitive to the error, the number of the constraint points, and the distance between the boundary points and inner/extern points. Experimental results are given to verify the effectiveness of surface reconstruction.
- implicit surface,
- BP neural networks,
- surface reconstruction,
- fitting

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