{"product_id":"nonlinear-eigenproblems-in-image-processing-and-computer-vision-9783030093396","title":"Nonlinear Eigenproblems in Image Processing and Computer Vision","description":"\u003cp\u003e • Author(s): Guy Gilboa\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Software Development \u0026amp; Engineering - Computer Graphics\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\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\u003e \u003cp\u003e\u003cb\u003eTopics and features: \u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eIntroduces the classical Fourier transform and its associated operator and energy, and asks how these concepts can be generalized in the nonlinear case\u003c\/li\u003e\n\u003cli\u003eReviews the basic mathematical notion, briefly outlining the use of variational and flow-based methods to solve image-processing and computer vision algorithms\u003c\/li\u003e\n\u003cli\u003eDescribes the properties of the total variation (TV) functional, and how the concept of nonlinear eigenfunctions relate to convex functionals\u003c\/li\u003e\n\u003cli\u003eProvides a spectral framework for one-homogeneous functionals, and applies this framework for denoising, texture processing and image fusion\u003c\/li\u003e\n\u003cli\u003eProposes novel ways to solve the nonlinear eigenvalue problem using special flows that converge to eigenfunctions\u003c\/li\u003e\n\u003cli\u003eExamines graph-based and nonlocal methods, for which a TV eigenvalue analysis gives rise to strong segmentation, clustering and classification algorithms\u003c\/li\u003e\n\u003cli\u003ePresents an approach to generalizing the nonlinear spectral concept beyond the convex case, based on pixel decay analysis\u003c\/li\u003e\n\u003cli\u003eDiscusses relations to other branches of image processing, such as wavelets and dictionary based methods\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003c\/p\u003e \u003cp\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.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eDr. Guy Gilboa\u003c\/b\u003e is an Assistant Professor in the Electrical Engineering Department at Technion - Israel Institute of Technology, Haifa, Israel.​\u003cbr\u003e\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45277071605911,"sku":"9783030093396","price":8720.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783030093396.webp?v=1769287408","url":"https:\/\/atlanticbooks.com\/products\/nonlinear-eigenproblems-in-image-processing-and-computer-vision-9783030093396","provider":"Atlantic Books","version":"1.0","type":"link"}