Abstract
We present a sequential algorithm for recovery of an object shape from a shading pattern generated under the assumption of a linear reflectance map. The algorithm operates on a rectangular discrete image and uses the height of the sought-after surface along a curve in the image (image boundary) as initial data.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
M. J. Brooks, W. Chojnacki, and R. Kozera. Impossible and ambiguous shading patterns. International Journal of Computer Vision, 7(2):119–126, 1992.
M.J. Brooks and W. Chojnacki. Direct computation of shape from shading. In ICPR '94 [8].
J. V. Diggelen. A photometric investigation of the slopes and heights of the ranges of hills in the maria of the Moon. Bulletin of the Astronomical Institute of Netherlands, 11(423):283–289, 1951.
V. P. Fresenkov. Photometric investigations of lunar surface. Astronomicheskiy Zhurnal, 5:219–234, 1929.
V. P. Fresenkov. Photometry in the moon. In Z. Kopal, editor, Physics and Astronomy of the Moon, pages 99–130. Academic Press, New York, 1962.
B. K. P. Horn. Obtaining shape from shading information. In P. H. Winston, editor, The Psychology of Computer Vision, chapter 4, pages 115–155. McGraw-Hill, New York, 1975.
B. K. P. Horn, editor. Robot Vision. McGraw-Hill, New York, Cambridge, MA, 1986.
Proceedings of the 12th IAPR International Conference on Pattern Recognition, Jerusalem, Israel, October 9–13, 1994. IEEE Computer Society Press, Los Alamitos, CA.
R. Kimmel and A. Bruckstein. Shape offsets via level sets. Technical Report 9204, Center for Intelligent Systems, Technion-Israel Institute of Technology, Haifa, Israel, 1992.
R. Kimmel and A. M. Bruckstein. Global shape from shading. In ICPR '94 [8].
R. Kozera. Existence and uniqueness in photometric stereo. Applied Mathematics and Computation, 44(1):1–104, 1991.
R. Kozera. A provably convergent algorithm for a linear shape from shading. Technical Report 3, Department of Computer Science, University of Western Australia, Perth, Australia, 1994.
M. Minnaret. Photometry of the Moon. Planes and Sattelites, 3:213–248, 1961.
J. Oliensis. Uniqueness in shape from shading. International journal of Computer Vision, 6(2):75–104, 1991.
R. Onn and A. Bruckstein. Integrability disambiguates surface recovery in two-image photometric stereo. International Journal of Computer Vision, 5(1):105–113, 1990.
S. Osher. A level set formulation for the solution of the Dirichlet problem for Hamilton-Jacobi equations. SIAM Journal of Mathematical Analysis, 24(5):1145–1152, 1993.
A. P. Pentland. A possible neural mechanism for computing shape from shading. Neural Computation, 1:208–217, 1989.
A. P. Pentland. Shape information from shading: a theory about human perception. Spatial Vision, 4(2):165–182, 1989.
A. P. Pentland. Linear shape from shading. International Journal of Computer Vision, 4(2):153–162, 1990.
T. Rindfleisch. Photometric methods for lunar topography. Photometric Engineering, 32(3):262–267, 1966.
D. E. Willingham. The lunar reflectivity model for ranger block III analysis. Technical Report 32, Jet Propulsion Laboratory, Pasadena, CA, U.S.A., 1964.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kozera, R. (1995). An algorithm for a linear shape-from-shading problem. In: Hlaváč, V., Šára, R. (eds) Computer Analysis of Images and Patterns. CAIP 1995. Lecture Notes in Computer Science, vol 970. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60268-2_323
Download citation
DOI: https://doi.org/10.1007/3-540-60268-2_323
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60268-2
Online ISBN: 978-3-540-44781-8
eBook Packages: Springer Book Archive