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An approach for enforcing integrability, a particular implementation of the approach, an example of its application to extending an existing shape-from-shading algorithm, and experimental results showing the improvement that results from enforcing integrability are presented. A possibly nonintegrable estimate of surface slopes is represented by a finite set of basis functions, and integrability is enforced by calculating the orthogonal projection onto a vector subspace spanning the set of integrable slopes. The integrability projection constraint was applied to extending an iterative shape-from-shading algorithm of M.J. Brooks and B.K.P. Horn (1985). Experimental results show that the extended algorithm converges faster and with less error than the original version. Good surface reconstructions were obtained with and without known boundary conditions and for fairly complicated surfaces
Published in:
Pattern Analysis and Machine Intelligence, IEEE Transactions on
(Volume:10
,
Issue:
4
)
Date of Publication: Jul 1988
- Page(s):
- 439 - 451
- ISSN :
- 0162-8828
- INSPEC Accession Number:
- 3233330
- Digital Object Identifier :
- 10.1109/34.3909
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 06 August 2002
- Issue Date :
- Jul 1988
- Sponsored by :
- IEEE Computer Society
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