Abstract
When studying the formation of intensity image of an opaque surface, a natural question arises: how does the local surface structure project on the local image structure? We consider this question for the case of a single and monocular intensity image. In this paper, we discuss the the general problem of local shading analysis (LSA) of an arbitrary C 2 surface. We reformulate the problem so that it is well tractable without any restrictive assumptions about the surface. We also contribute to the discussion about the LSA ambiguity problem by identifying image structures where the local surface interpretation may only change.
Preview
Unable to display preview. Download preview PDF.
References
J. Arnspang. Direct shape measures from shading and impossible shaded images. In Proc. 7nd SCIA, pages 40–47, August 1991.
J. Arnspang. On the use of time varying shading and surface rim irradiance. Pattern Recognition Letters, 12:203–210, April 1991.
P. P. Ferrie and M. D. Levine. Where and why local shading analysis works. IEEE Trans. PAMI, 11(2):198–206, February 1989.
L. M. J. Florack, B. M. H. Romeny, J. J. Koenderink, and M. A. Viergever. General intensity transformations and second order invariants. In Proc. 7nd SCIA, pages 338–345, August 1991.
K. Ikeuchi and B. K. P. Horn. Numerical shape from shading and occluding boundaries. Artificial Intelligence, 17:141–184, 1981.
J. J. Koenderink. Solid Shape. The M.I.T. Press, 1990.
J. J. Koenderink and A. J. van Doorn. Photometric invariants related to solid shape. Optica Acta, 27(7):981–996, 1980.
Ch.-H. Lee and A. Rosenfeld. Improved methods of estimating shape from shading using the light source coordinate system. Artificial Intelligence, 26:125–143, 1985.
S. K. Nayar, K. Ikeuchi, and T. Kanade. Shape from interreflections. Int. Journal of Computer Vision, 6(3):173–195, 1991.
J. Oliensis. New results in shape from shading. In Proc. Image Understanding Workshop, pages 145–153, September 1990.
A. P. Pentland. Local shading analysis. IEEE Trans. PAMI, 6(2):170–187, 1984.
B. M. ter Haar Romeny, L. M. J. Florack, A. H. Salden, and M. A. Viergever. Higher order differential structure of images. Image and Vision Computing, 12(6):317–325, July/August 1994.
R. Šára. Local Shading Analysis via Isophotes Properties. PhD thesis, Johannes Kepler University Linz, Dept. of System Sciences, March 1994.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Šára, R. (1995). Isophotes: the key to tractable local shading analysis. 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_324
Download citation
DOI: https://doi.org/10.1007/3-540-60268-2_324
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