TY - CONF T1 - A Projective Invariant for Textures T2 - 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Y1 - 2006 A1 - Yong Xu A1 - Hui Ji A1 - Fermüller, Cornelia KW - Computer science KW - Computer vision KW - Educational institutions KW - Fractals KW - Geometry KW - Image texture KW - Level set KW - lighting KW - Robustness KW - Surface texture AB - Image texture analysis has received a lot of attention in the past years. Researchers have developed many texture signatures based on texture measurements, for the purpose of uniquely characterizing the texture. Existing texture signatures, in general, are not invariant to 3D transforms such as view-point changes and non-rigid deformations of the texture surface, which is a serious limitation for many applications. In this paper, we introduce a new texture signature, called the multifractal spectrum (MFS). It provides an efficient framework combining global spatial invariance and local robust measurements. The MFS is invariant under the bi-Lipschitz map, which includes view-point changes and non-rigid deformations of the texture surface, as well as local affine illumination changes. Experiments demonstrate that the MFS captures the essential structure of textures with quite low dimension. JA - 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition PB - IEEE VL - 2 SN - 0-7695-2597-0 M3 - 10.1109/CVPR.2006.38 ER -