书目名称 | Nonlinear Eigenproblems in Image Processing and Computer Vision |
编辑 | Guy Gilboa |
视频video | http://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 |
丛书名称 | Advances in Computer Vision and Pattern Recognition |
图书封面 |  |
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 |
关键词 | Variational Methods; Nonlinear Spectral Theory; Convex Analysis; Image Processing; Multiscale Representa |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-75847-3 |
isbn_softcover | 978-3-030-09339-6 |
isbn_ebook | 978-3-319-75847-3Series ISSN 2191-6586 Series E-ISSN 2191-6594 |
issn_series | 2191-6586 |
copyright | Springer International Publishing AG, part of Springer Nature 2018 |