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A neural network approach to shape from shading
Jiang, TZ; Liu, B; Yu, YL; Evans, DJ
AbstractIn this paper, we propose a method of recovering shape from shading that solves directly for the surface height using neural networks. The main motivation of this paper is to provide an answer to the open problem proposed by Zhou and Chellappa [11]. We first formulate the shape from shading problem by combining a triangular element surface model with a linearized reflectance map. Then, we use a linear feed-forward network architecture with six layers to compute the surface height with a singular value decomposition. The weights in the model initialized using eigenvectors and eigen-values of the stiffness matrix of objective functional. Experimental results show that our solution is very effective.
KeywordShape From Shading Neural Networks Triangular Element Surface Model
WOS HeadingsScience & Technology ; Physical Sciences
Indexed BySCI
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000182659600004
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Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100080, Peoples R China
2.Nottingham Trent Univ, Dept Comp & Math, Nottingham NG1 4BU, England
Recommended Citation
GB/T 7714
Jiang, TZ,Liu, B,Yu, YL,et al. A neural network approach to shape from shading[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2003,80(4):433-439.
APA Jiang, TZ,Liu, B,Yu, YL,&Evans, DJ.(2003).A neural network approach to shape from shading.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,80(4),433-439.
MLA Jiang, TZ,et al."A neural network approach to shape from shading".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 80.4(2003):433-439.
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