A Method for Enforcing Integrability in Shape from Shading Algorithms
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
The Texture Gradient Equation for Recovering Shape from Texture
IEEE Transactions on Pattern Analysis and Machine Intelligence
Model of Frequency Analysis in the Visual Cortex and the Shape from Texture Problem
International Journal of Computer Vision
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
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Many models and algorithms have been proposed since the shape from texture problem was tackled by the pioneering work of Gibson in 1950. In the present work, a general assumption of stochastic homogeneity is chosen so as to include a wide range of natural textures. Under this assumption, the Fourier transform of the image and a minimal set of Gabor filters are used to efficiently estimate all the main local spatial frequencies of the texture, i.e. so as to compute distortion measures. Then a known method which uses singular value decomposition to process the frequencies under orthographic projection is considered. The method is extended to general perspective cases and used to reconstruct the 3D shape of real pictures and video sequences. The robustness of the algorithm is proven on general shapes, and results are compared with the literature when possible.