Kernel-Predictability: A New Information Measure and Its Application to Image Registration

A new information measure for probability distributions is presented; based on it, a similarity measure between images is derived, which is used for constructing a robust image registration algorithm based on random sampling, similar to classical approaches like mutual information. It is shown that the registration method obtained with the new similarity measure shows a significantly better performance for small sampling sets; this makes it specially suited for the estimation of non-parametric deformation fields, where the estimation of the local transformation is done on small windows. This is confirmed by extensive comparisons using synthetic deformations of real images.

[1]  Narendra Ahuja,et al.  Robust Registration and Tracking Using Kernel Density Correlation , 2004, 2004 Conference on Computer Vision and Pattern Recognition Workshop.

[2]  Max A. Viergever,et al.  A survey of medical image registration , 1998, Medical Image Anal..

[3]  Lisa M. Brown,et al.  A survey of image registration techniques , 1992, CSUR.

[4]  Paul A. Viola,et al.  Alignment by Maximization of Mutual Information , 1997, International Journal of Computer Vision.

[5]  Alan J. Lee,et al.  U-Statistics: Theory and Practice , 1990 .

[6]  BrownLisa Gottesfeld A survey of image registration techniques , 1992 .

[7]  Paul Suetens,et al.  A Viscous Fluid Model for Multimodal Non-rigid Image Registration Using Mutual Information , 2002, MICCAI.

[8]  Jean-Philippe Thirion,et al.  Image matching as a diffusion process: an analogy with Maxwell's demons , 1998, Medical Image Anal..

[9]  Olivier D. Faugeras,et al.  Variational Methods for Multimodal Image Matching , 2002, International Journal of Computer Vision.

[10]  E. Lehmann Elements of large-sample theory , 1998 .

[11]  Max A. Viergever,et al.  Mutual-information-based registration of medical images: a survey , 2003, IEEE Transactions on Medical Imaging.

[12]  Geoffrey Egnal,et al.  Mutual Information as a Stereo Correspondence Measure , 2000 .

[13]  Colin Studholme,et al.  An overlap invariant entropy measure of 3D medical image alignment , 1999, Pattern Recognit..

[14]  Guy Marchal,et al.  Automated multi-moda lity image registration based on information theory , 1995 .

[15]  Vladimir Kolmogorov,et al.  Visual correspondence using energy minimization and mutual information , 2003, Proceedings Ninth IEEE International Conference on Computer Vision.

[16]  Trevor Hastie,et al.  The Elements of Statistical Learning , 2001 .

[17]  Richard Bowden,et al.  Metric mixtures for mutual information (M/sup 3/I) tracking , 2004, ICPR 2004.

[18]  David J. Fleet,et al.  Performance of optical flow techniques , 1994, International Journal of Computer Vision.

[19]  Rachid Deriche,et al.  Computing Optical Flow via Variational Techniques , 1999, SIAM J. Appl. Math..