A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition

by Jean-Paul Gauthier and Dario Prandi

This book proposes a semi-discrete version of the theory of Petitot and Citti-Sarti, leading to a left-invariant structure over the group SE(2, N), restricted to a finite number of rotations. This apparently very simple group is in fact quite atypical: it is maximally almost periodic, which leads to much simpler harmonic analysis compared to SE(2). Based upon this semi-discrete model, the authors improve on previous image-reconstruction algorithms and develop a pattern-recognition theory that also leads to very efficient algorithms in practice.

• Format: Paperback
• Language: English
• ISBN: 3319784811
• ISBN13: 9783319784816
• Release Date: June 2018
• Publisher: Springer
• Length: 113 Pages
• Weight: 0.45 lbs.
• Dimensions: 0.3" x 6.1" x 9.2"