Pattern Theory

Ulf Grenander is the L. Herbert Ballou University Professor at Brown University. He is a member of the Royal Swedish Academy of Science and an honorary fellow of the Royal Statistical Society in LondonMichael Miller is the Professor of Electrical and Computer Engineering, Director of the Center for Imaging Science, and Professor of Biomedical Engineering at Johns Hopkins University, Baltimore. He completed his Ph.D. in Biomedical Engineering at The Johns Hopkins University in 1983.

• 1. Introduction ; 2. The Bayes paradigm, estimation and information measures ; 3. Probabilistic directed acyclic graphs and their entropies ; 4. Markov random fields on undirected graphs ; 5. Gaussian random fields on undirected graphs ; 6. The canonical representations of general pattern theory ; 7. Matrix group actions transforming patterns ; 8. Manifolds, active modes, and deformable templates ; 9. Second order and Gaussian fields ; 10. Metrics spaces for the matrix groups ; 11. Metrics spaces for the infinite dimensional diffeomorphisms ; 12. Metrics on photometric and geometric deformable templates ; 13. Estimation bounds for automated object recognition ; 14. Estimation on metric spaces with photometric variation ; 15. Information bounds for automated object recognition ; 16. Computational anatomy: shape, growth and atrophy comparison via diffeomorphisms ; 17. Computational anatomy: hypothesis testing on disease ; 18. Markov processes and random sampling ; 19. Jump diffusion inference in complex scenes

"Patterns Theory: From Representations to Inference" provides a comprehensive and accessible overview of the modern challenges in signal, data and pattern analysis in speech recognition, computational linguistics, image analysis and computer vision.