A Projective Invariant for Textures

TitleA Projective Invariant for Textures
Publication TypeConference Papers
Year of Publication2006
AuthorsXu Y, Ji H, Fermüller C
Conference Name2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Date Published2006///
ISBN Number0-7695-2597-0
KeywordsComputer science, Computer vision, Educational institutions, Fractals, Geometry, Image texture, Level set, lighting, Robustness, Surface texture

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.