Shape from texture: general principle
Artificial Intelligence
Shape from Texture Using Local Spectral Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computing Local Surface Orientation and Shape from Texture forCurved Surfaces
International Journal of Computer Vision
Filtering for Texture Classification: A Comparative Study
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robot Vision
Surface orientation and curvature from differential texture distortion
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Recognizing Surfaces Using Three-Dimensional Textons
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
Estimating the orientation of planar surfaces: algorithms and bounds
IEEE Transactions on Information Theory
IEEE Transactions on Image Processing
Shape from Texture without Boundaries
International Journal of Computer Vision
Model of Frequency Analysis in the Visual Cortex and the Shape from Texture Problem
International Journal of Computer Vision
Shape from Texture Via Fourier Analysis
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Shape from texture of developable surfaces via Fourier analysis
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part I
segmenting multiple textured objects using geodesic active contour and DWT
PReMI'07 Proceedings of the 2nd international conference on Pattern recognition and machine intelligence
Recovering the shape from texture using lognormal filters
ACIVS'05 Proceedings of the 7th international conference on Advanced Concepts for Intelligent Vision Systems
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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 affine group. At fine scales, the warpogram of the image obeys a transport equation, called Texture Gradient Equation. In order to recover the 3D shape of the surface, one must estimate the deformation gradient, which measures metric changes in the image. This is made possible by imposing a notion of homogeneity for the original texture, according to which the deformation gradient is equal to the velocity of the Texture Gradient Equation. By measuring the warplet transform of the image at different scales, we obtain a deformation gradient estimator.