{"product_id":"nonlinear-eigenproblems-in-image-processing-guy-gilboa-9783030093396","title":"Nonlinear Eigenproblems in Image Processing and Computer Vision","description":"\u003cp\u003eThis 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.\u003c\/p\u003eTopics 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 for one-homogeneous functionals, and applies this framework for denoising, texture processing and image fusion; proposes novel ways to solve the nonlinear eigenvalue problem using special flows that converge to eigenfunctions; examines graph-based and nonlocal methods, for which a TV eigenvalue analysis gives rise to strong segmentation, clustering and classification algorithms; presents an approach to generalizing the nonlinear spectral concept beyond the convex case, based on pixel decay analysis; discusses relations to other branches of image processing, such as wavelets and dictionary based methods.\u003cp\u003e\u003c\/p\u003eThis original work offers fascinating new insights into established signal processing techniques, integrating deep mathematical concepts from a range of different fields, which will be of great interest to all researchers involved with image processing and computer vision applications, as well as computations for more general scientific problems.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Guy Gilboa\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3030093395\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783030093396\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 01\/24\/2019\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 172\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.61lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.41d","brand":"Guy Gilboa","offers":[{"title":"Paperback","offer_id":48486756843775,"sku":"9783030093396","price":129.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_f795454a-e6e1-4daf-bb66-37b66f037dd1.jpg?v=1778056575","url":"https:\/\/www.whiterainbookhouse.com\/products\/nonlinear-eigenproblems-in-image-processing-guy-gilboa-9783030093396","provider":"WR Book House","version":"1.0","type":"link"}