{"product_id":"nonlinear-eigenproblems-in-image-processing-and-computer-vision-book-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.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52677011996945,"sku":"NLS9783030093396","price":155.59,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030093396.jpg?v=1789123849","url":"https:\/\/www.worldofbooks.com\/products\/nonlinear-eigenproblems-in-image-processing-and-computer-vision-book-guy-gilboa-9783030093396","provider":"World of Books ","version":"1.0","type":"link"}