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Titlebook: A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Ima; Dario Prandi,Jean-Paul Gauthier Book

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发表于 2025-3-21 20:00:24 | 显示全部楼层 |阅读模式
期刊全称A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Ima
影响因子2023Dario Prandi,Jean-Paul Gauthier
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发行地址Offers a cortical-inspired point of view on image processing.Provides fast and efficient methods for image inpainting and recognition.Presents a new theoretical framework for roto-translation invarian
学科分类SpringerBriefs in Mathematics
图书封面Titlebook: A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Ima; Dario Prandi,Jean-Paul Gauthier Book
影响因子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.
Pindex Book 2018
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Meshfree Methods Based on Global Weak-Forms,x, with particular attention to its connections with control theory, followed by our semi-discrete improvement of the model, which will be the main subject of this monograph. We also present how this structure can be exploited for image reconstruction and then introduce our novel framework for textu
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Meshfree Shape Function Construction,ns whose Fourier transform is supported in a given discrete and finite set .. (See Sect. ..) In order to do this, we generalize the well-known decomposition of the 2D Fourier transform on the plane in polar coordinates, via the Fourier-Bessel operator. In the first part of the chapter, exploiting th
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Meshfree Methods Based on Global Weak-Forms,urier invariants. Our aim is to give an effective procedure for discriminate functions up to the action of the left-regular representation of some group. In the first part of the chapter, we introduce the simplest Fourier-based invariants that we will focus on: the . and the ., and we show that the
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An Introduction to Mesoscale Meteorologyication to image reconstruction. The first section of the chapter is devoted to recalling definition and some basic properties of hypoelliptic diffusions on Lie groups. These constructions are then extended to the semi-discrete semi-direct products that are the focus of the monograph. In particular,
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