Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging

Edited by Ke Chen (), Carola-Bibiane Schönlieb (), Xue-Cheng Tai () and Laurent Younes ()

in Springer Books from Springer

Date: 2023
ISBN: 978-3-030-98661-2
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Chapters in this book:

Ch 1 Convex Non-convex Variational Models

Alessandro Lanza, Serena Morigi, Ivan W. Selesnick and Fiorella Sgallari

Ch 2 Subsampled First-Order Optimization Methods with Applications in Imaging

Stefania Bellavia, Tommaso Bianconcini, Nataša Krejić and Benedetta Morini

Ch 3 Bregman Methods for Large-Scale Optimization with Applications in Imaging

Martin Benning and Erlend Skaldehaug Riis

Ch 4 Fast Iterative Algorithms for Blind Phase Retrieval: A Survey

Huibin Chang, Li Yang and Stefano Marchesini

Ch 5 Modular ADMM-Based Strategies for Optimized Compression, Restoration, and Distributed Representations of Visual Data

Yehuda Dar and Alfred M. Bruckstein

Ch 6 Connecting Hamilton-Jacobi Partial Differential Equations with Maximum a Posteriori and Posterior Mean Estimators for Some Non-convex Priors

Jérôme Darbon, Gabriel P. Langlois and Tingwei Meng

Ch 7 Multi-modality Imaging with Structure-Promoting Regularizers

Matthias J. Ehrhardt

Ch 8 Diffraction Tomography, Fourier Reconstruction, and Full Waveform Inversion

Florian Faucher, Clemens Kirisits, Michael Quellmalz, Otmar Scherzer and Eric Setterqvist

Ch 9 Models for Multiplicative Noise Removal

Xiangchu Feng and Xiaolong Zhu

Ch 10 Recent Approaches to Metal Artifact Reduction in X-Ray CT Imaging

Soomin Jeon and Chang-Ock Lee

Ch 11 Domain Decomposition for Non-smooth (in Particular TV) Minimization

Andreas Langer

Ch 12 Fast Numerical Methods for Image Segmentation Models

Noor Badshah

Ch 13 On Variable Splitting and Augmented Lagrangian Method for Total Variation-Related Image Restoration Models

Zhifang Liu, Yuping Duan, Chunlin Wu and Xue-Cheng Tai

Ch 14 Sparse Regularized CT Reconstruction: An Optimization Perspective

Elena Morotti and Elena Loli Piccolomini

Ch 15 Recent Approaches for Image Colorization

Fabien Pierre and Jean-François Aujol

Ch 16 Numerical Solution for Sparse PDE Constrained Optimization

Xiaoliang Song and Bo Yu

Ch 17 Game Theory and Its Applications in Imaging and Vision

Anis Theljani, Abderrahmane Habbal, Moez Kallel and Ke Chen

Ch 18 First-Order Primal–Dual Methods for Nonsmooth Non-convex Optimization

Tuomo Valkonen

Ch 19 Learned Iterative Reconstruction

Jonas Adler

Ch 20 An Analysis of Generative Methods for Multiple Image Inpainting

Coloma Ballester, Aurélie Bugeau, Samuel Hurault, Simone Parisotto and Patricia Vitoria

Ch 21 Analysis of Different Losses for Deep Learning Image Colorization

Coloma Ballester, Hernan Carrillo, Michaël Clément and Patricia Vitoria

Ch 22 Influence of Color Spaces for Deep Learning Image Colorization

Aurélie Bugeau, Rémi Giraud and Lara Raad

Ch 23 Variational Model-Based Deep Neural Networks for Image Reconstruction

Yunmei Chen, Xiaojing Ye and Qingchao Zhang

Ch 24 Bilevel Optimization Methods in Imaging

Juan Carlos De los Reyes and David Villacís

Ch 25 Multi-parameter Approaches in Image Processing

Markus Grasmair and Valeriya Naumova

Ch 26 Generative Adversarial Networks for Robust Cryo-EM Image Denoising

Hanlin Gu, Yin Xian, Ilona Christy Unarta and Yuan Yao

Ch 27 Variational Models and Their Combinations with Deep Learning in Medical Image Segmentation: A Survey

Luying Gui, Jun Ma and Xiaoping Yang

Ch 28 Bidirectional Texture Function Modeling

Michal Haindl

Ch 29 Regularization of Inverse Problems by Neural Networks

Markus Haltmeier and Linh Nguyen

Ch 30 Shearlets: From Theory to Deep Learning

Gitta Kutyniok

Ch 31 Learned Regularizers for Inverse Problems

Sebastian Lunz

Ch 32 Filter Design for Image Decomposition and Applications to Forensics

Robin Richter, Duy H. Thai, Carsten Gottschlich and Stephan F. Huckemann

Ch 33 Deep Learning Methods for Limited Data Problems in X-Ray Tomography

Johannes Schwab

Ch 34 MRI Bias Field Estimation and Tissue Segmentation Using Multiplicative Intrinsic Component Optimization and Its Extensions

Samad Wali, Chunming Li and Lingyan Zhang

Ch 35 Data-Informed Regularization for Inverse and Imaging Problems

Jonathan Wittmer and Tan Bui-Thanh

Ch 36 Randomized Kaczmarz Method for Single Particle X-Ray Image Phase Retrieval

Yin Xian, Haiguang Liu, Xuecheng Tai and Yang Wang

Ch 37 A Survey on Deep Learning-Based Diffeomorphic Mapping

Huilin Yang, Junyan Lyu, Roger Tam and Xiaoying Tang

Ch 38 Stochastic Shape Analysis

Alexis Arnaudon, Darryl Holm and Stefan Sommer

Ch 39 Intrinsic Riemannian Metrics on Spaces of Curves: Theory and Computation

Martin Bauer, Nicolas Charon, Eric Klassen and Alice Le Brigant

Ch 40 An Overview of SaT Segmentation Methodology and Its Applications in Image Processing

Xiaohao Cai, Raymond Chan and Tieyong Zeng

Ch 41 Recent Development of Medical Shape Analysis via Computational Quasi-conformal Geometry

Hei-Long Chan and Lok-Ming Lui

Ch 42 A Survey of Topology and Geometry-Constrained Segmentation Methods in Weakly Supervised Settings

Ke Chen, Noémie Debroux and Carole Le Guyader

Ch 43 Recent Developments of Surface Parameterization Methods Using Quasi-conformal Geometry

Gary P. T. Choi and Lok Ming Lui

Ch 44 Recent Geometric Flows in Multi-orientation Image Processing via a Cartan Connection

R. Duits, B. M. N. Smets, A. J. Wemmenhove, J. W. Portegies and E. J. Bekkers

Ch 45 PDE-Constrained Shape Optimization: Toward Product Shape Spaces and Stochastic Models

Caroline Geiersbach, Estefania Loayza-Romero and Kathrin Welker

Ch 46 Iterative Methods for Computing Eigenvectors of Nonlinear Operators

Guy Gilboa

Ch 47 Optimal Transport for Generative Models

Xianfeng Gu, Na Lei and Shing-Tung Yau

Ch 48 Image Reconstruction in Dynamic Inverse Problems with Temporal Models

Andreas Hauptmann, Ozan Öktem and Carola Schönlieb

Ch 49 Computational Conformal Geometric Methods for Vision

Na Lei, Feng Luo, Shing-Tung Yau and Xianfeng Gu

Ch 50 From Optimal Transport to Discrepancy

Sebastian Neumayer and Gabriele Steidl

Ch 51 Compensated Convex-Based Transforms for Image Processing and Shape Interrogation

Antonio Orlando, Elaine Crooks and Kewei Zhang

Ch 52 The Potts Model with Different Piecewise Constant Representations and Fast Algorithms: A Survey

Xuecheng Tai, Lingfeng Li and Egil Bae

Ch 53 Shape Spaces: From Geometry to Biological Plausibility

Nicolas Charon and Laurent Younes

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DOI: 10.1007/978-3-030-98661-2

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