TY - GEN digital ID - 131682388 TI - A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition AU - Prandi, Dario AU - Gauthier, Jean-Paul PY - 2018 SN - 9783319784823 PB - Cham Springer International Publishing DB - UniCat KW - Harmonic analysis. Fourier analysis KW - Mathematical analysis KW - Mathematics KW - Artificial intelligence. Robotics. Simulation. Graphics KW - Computer. Automation KW - computervisie KW - patroonherkenning KW - analyse (wiskunde) KW - Fourierreeksen KW - grafische vormgeving KW - informatica KW - mathematische modellen KW - wiskunde UR - https://www.unicat.be/uniCat?func=search&query=sysid:131682388 AB - 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. ER -