Title
Shape from texture through deformations
Abstract
This paper is a contribution to the recovery of shape from texture under perspective projection. We regard shape from texture as a statistical estimation problem, the texture be ing the realization of a stochastic process. There are two mini- mal conditions in order for the problem to be solvable: the first is a stationarity condition on the texture with respect to the surface; the second is the regularity of the surface. Information about the surface is obtained by estimating a deformation map. We prove that at a fine scale, the wavelet decomposition of the image obeys a transport PDE, the co- efficients of which can be estimated, and related to the de- formation map. We show how the global surface shape can then be integrated.
Year
DOI
Venue
1999
10.1109/ICCV.1999.791249
Computer Vision, 1999. The Proceedings of the Seventh IEEE International Conference
Keywords
DocType
Volume
image reconstruction,image texture,deformation map,perspective projection,shape from texture,statistical estimation,wavelet decomposition
Conference
1
Issue
ISBN
Citations 
1
0-7695-0164-8
8
PageRank 
References 
Authors
0.97
6
2
Name
Order
Citations
PageRank
maureen clerc112816.39
Stéphane Mallat24107718.30