Application of Baddeley's distance to dissimilarity measurement between gray scale images

摘要

In this paper, we introduce a dissimilarity measure between two gray-scale images based on Baddeley's distance. To some extent, it can be regarded as a modification of that proposed by Wilson et al. [Internat. J. Comput. Vision 24 (1) (1997) 5 18]. Images arc represented by surfaces in a 3D space, instead of their subgraphs. Distance calculations are performed by means of a 3D local distance operator adapted to parallelepipedic grids. No truncation effect is intro- duced. Properties of the new dissimilarity operator arc compared to those of the Wilson Baddeley Owen operator in terms of sensitivity to gray level variations, spatial shifts and shape distortions. Compared with the Wilson Baddeley- Owen operator, a more linear behavior is observed. A simplified phenomenological model is proposed in order to explain this behavior.