The adaptive subspace map for texture segmentation

A nonlinear mixture-of-subspaces model is proposed to describe images. Images or image patches, when translated, rotated or scaled, lie in low-dimensional subspaces of the high-dimensional space spanned by the grey values. These manifolds can locally be approximated by a linear subspace. The adaptive subspace map is a method to learn such a mixture-of-subspaces from the data. Due to its general nature, various clustering and subspace-finding algorithms can be used. In the paper, two clustering algorithms are compared in an application to some texture segmentation problems. It is shown to compare well to a standard Gabor filter bank approach.