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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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Meshfree Shape Function Construction,t case for image processing, i.e., .. Indeed we present numerical algorithms for the (exact) evaluation, interpolation, and approximation of . functions on finite sets of spatial samples ., invariant under the action of .. This is an instance of a very general problem, and can be seen as a generaliz
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Meshfree Methods Based on Global Weak-Forms,complete for regular cyclic lifts but not for left-invariant ones. This yields us to consider stronger invariants, the . and . invariants. We then prove the main theorem of the chapter: Theorem ., which states that, up to a centering operator, these invariants are weakly complete on left-invariant l
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Meshfree Methods Based on Global Weak-Forms,bject of this monograph. We also present how this structure can be exploited for image reconstruction and then introduce our novel framework for texture analsysis and pattern recognition, via the bispectrum. We end the chapter with a discussion on the organization of the monograph.
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Book 2018o 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.
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Meshfree Methods Based on Local Weak-Forms,o select some relevant subspaces. Finally we present our models for natural images (compactly supported functions of .) and textures (properly selected finite-dimensional subspaces of almost-periodic functions in the plane).
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Book 2018estricted 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 algori
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