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Abstract: This paper studies the recovery of shape from texture under perspective projection. We regard Shape from Texture as a statistical estimation problem, the texture being the realization of a stochastic process. We introduce warplets, which generalize wavelets over the 2D ane group. At ne scales, the warpogram of the image obeys a transport equation, called Texture Gradient Equation. (Update)
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BibTeX entry: (Update)
Clerc, M. and Mallat, S. (2002). The Texture Gradient Equation for Recovering Shape from Texture. IEEE Trans. Patt. Anal. and Mach. Intell. 24-4. http://citeseer.ist.psu.edu/clerc02texture.html More
@misc{ clerc02texture,
author = "M. Clerc and S. Mallat",
title = "The Texture Gradient Equation for Recovering Shape from Texture",
text = "Clerc, M. and Mallat, S. (2002). The Texture Gradient Equation for Recovering
Shape from Texture. IEEE Trans. Patt. Anal. and Mach. Intell. 24-4.",
year = "2002",
url = "citeseer.ist.psu.edu/clerc02texture.html" }
Citations (may not include all citations):695 Robot Vision (context) - Horn - 1986
519 A wavelet tour of signal processing (context) - Mallat - 1999
184 Johns Hopkins Univ (context) - Golub, Van Loan - 1989
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36 Computing local surface orientation and shape from texture f.. - Malik, Rosenholtz - 1997
33 Determining optical ow (context) - Horn, Schunck - 1981
31 Localized measurement of emergent image frequencies by Gabor.. (context) - Bovik, Gopal et al. - 1992
30 Shape from texture: integrating textureelement extraction an.. (context) - Blostein, Ahuja - 1990
28 Texture gradient as a depth cue (context) - Bajcsy, Lieberman - 1976
27 Shape from texture: General principle (context) - Kanatani, Chou - 1989
25 Shape from texture using local spectral moments (context) - Super, Bovik - 1995
23 Recognizing surfaces using three-dimensional textons - Leung, Malik - 1999
23 Uniqueness in shape from shading (context) - Oliensis - 1991
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