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Titlebook: Nonlinear Eigenproblems in Image Processing and Computer Vision; Guy Gilboa Book 2018 Springer International Publishing AG, part of Spring

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書目名稱Nonlinear Eigenproblems in Image Processing and Computer Vision
編輯Guy Gilboa
視頻videohttp://file.papertrans.cn/668/667470/667470.mp4
概述The first book on this topic, relating the new theory to image processing and computer vision applications.Integrates deep mathematical concepts from various fields into a coherent manuscript with plo
叢書名稱Advances in Computer Vision and Pattern Recognition
圖書封面Titlebook: Nonlinear Eigenproblems in Image Processing and Computer Vision;  Guy Gilboa Book 2018 Springer International Publishing AG, part of Spring
描述.This unique text/reference presents a fresh look at nonlinear processing through nonlinear eigenvalue analysis, highlighting how one-homogeneous convex functionals can induce nonlinear operators that can be analyzed within an eigenvalue framework. The text opens with an introduction to the mathematical background, together with a summary of classical variational algorithms for vision. This is followed by a focus on the foundations and applications of the new multi-scale representation based on non-linear eigenproblems. The book then concludes with a discussion of new numerical techniques for finding nonlinear eigenfunctions, and promising research directions beyond the convex case..Topics and features: introduces the classical Fourier transform and its associated operator and energy, and asks how these concepts can be generalized in the nonlinear case; reviews the basic mathematical notion, briefly outlining the use of variational and flow-based methods to solve image-processingand computer vision algorithms; describes the properties of the total variation (TV) functional, and how the concept of nonlinear eigenfunctions relate to convex functionals; provides a spectral framework f
出版日期Book 2018
關鍵詞Variational Methods; Nonlinear Spectral Theory; Convex Analysis; Image Processing; Multiscale Representa
版次1
doihttps://doi.org/10.1007/978-3-319-75847-3
isbn_softcover978-3-030-09339-6
isbn_ebook978-3-319-75847-3Series ISSN 2191-6586 Series E-ISSN 2191-6594
issn_series 2191-6586
copyrightSpringer International Publishing AG, part of Springer Nature 2018
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Book 2018ex functionals can induce nonlinear operators that can be analyzed within an eigenvalue framework. The text opens with an introduction to the mathematical background, together with a summary of classical variational algorithms for vision. This is followed by a focus on the foundations and applicatio
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Applications Using Nonlinear Spectral Processing,asic operations of attenuating, enhancing, and mixing certain spectral bands. Thus, a single framework with a solid theory can have very diverse applications, similar to classical linear transforms. The aim here is to give several interesting examples and to show the potential of using the nonlinear spectral formulations.
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Numerical Methods for Finding Eigenfunctions,n more detail a recent work by Raz Nossek and the author where a flow is used to solve the problem. This can be generalized in various ways. A generalization of Aujol et al., which is well supported theoretically, is outlined at the end of this chapter.
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2191-6586 singand computer vision algorithms; describes the properties of the total variation (TV) functional, and how the concept of nonlinear eigenfunctions relate to convex functionals; provides a spectral framework f978-3-030-09339-6978-3-319-75847-3Series ISSN 2191-6586 Series E-ISSN 2191-6594
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Spectral One-Homogeneous Framework,own in the finite-dimensional case. A fundamental result is that in some settings we can show a precise decomposition of the input signal into eigenfunctions. In addition, the spectral components turn to be orthogonal to each other.
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