Robles-Kelly, A and Hancock, E R orcid.org/0000-0003-4496-2028 (2004) A graph-spectral approach to shape-from-shading. IEEE Transactions on Image Processing. pp. 912-926. ISSN 1057-7149
Abstract
In this paper, we explore how graph-spectral methods can be used to develop a new shape-from-shading algorithm. We characterize the field of surface normals using a weight matrix whose elements are computed from the sectional curvature between different image locations and penalize large changes in surface normal direction. Modeling the blocks of the weight matrix as distinct surface patches, we use a graph seriation method to find a surface integration path that maximizes the sum of curvature-dependent weights and that can be used for the purposes of height reconstruction. To smooth the reconstructed surface, we fit quadrics to the height data for each patch. The smoothed surface normal directions are updated ensuring compliance with Lambert's law. The processes of height recovery and surface normal adjustment are interleaved and iterated until a stable surface is obtained. We provide results on synthetic and real-world imagery.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Copyright © 2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. |
Keywords: | graph seriation,graph-spectral methods,shape-from-shading,SPECULAR REFLECTION,VISCOSITY SOLUTIONS,SURFACES |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Computer Science (York) |
Depositing User: | Repository Officer |
Date Deposited: | 21 Feb 2007 |
Last Modified: | 16 Oct 2024 11:52 |
Published Version: | https://doi.org/10.1109/TIP.2004.828414 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1109/TIP.2004.828414 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:2000 |