Scale Space and Variational Methods in Computer Vision

Table of Contents

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   Book Overview
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   Chapter 1 Scale-Space Theory for Auditory Signals
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   Chapter 2 Spectral Representations of One-Homogeneous Functionals
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   Chapter 3 The Morphological Equivalents of Relativistic and Alpha-Scale-Spaces
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   Chapter 4 New Approximation of a Scale Space Kernel on SE(3) and Applications in Neuroimaging
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   Chapter 5 Partial Differential Equations of Bivariate Median Filters
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   Chapter 6 Fundamentals of Non-Local Total Variation Spectral Theory
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   Chapter 7 Morphological Scale-Space Operators for Images Supported on Point Clouds
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   Chapter 8 Separable Time-Causal and Time-Recursive Spatio-Temporal Receptive Fields
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    Chapter 9 A Linear Scale-Space Theory for Continuous Nonlocal Evolutions
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    Chapter 10 Bilevel Image Denoising Using Gaussianity Tests
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    Chapter 11 On Debiasing Restoration Algorithms: Applications to Total-Variation and Nonlocal-Means
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    Chapter 12 Cartoon-Texture-Noise Decomposition with Transport Norms
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    Chapter 13 Compressing Images with Diffusion- and Exemplar-Based Inpainting
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    Chapter 14 Some Nonlocal Filters Formulation Using Functional Rearrangements
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    Chapter 15 Total Variation Restoration of Images Corrupted by Poisson Noise with Iterated Conditional Expectations
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    Chapter 16 Regularization with Sparse Vector Fields: From Image Compression to TV-type Reconstruction
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    Chapter 17 Solution-Driven Adaptive Total Variation Regularization
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    Chapter 18 Artifact-Free Variational MPEG Decompression
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    Chapter 19 Probabilistic Correlation Clustering and Image Partitioning Using Perturbed Multicuts
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    Chapter 20 Optimizing the Relevance-Redundancy Tradeoff for Efficient Semantic Segmentation
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    Chapter 21 Convex Color Image Segmentation with Optimal Transport Distances
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    Chapter 22 Piecewise Geodesics for Vessel Centerline Extraction and Boundary Delineation with Application to Retina Segmentation
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    Chapter 23 Unsupervised Learning Using the Tensor Voting Graph
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    Chapter 24 Interactive Multi-label Segmentation of RGB-D Images
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    Chapter 25 Fast Minimization of Region-Based Active Contours Using the Shape Hessian of the Energy
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    Chapter 26 Sparse Aggregation Framework for Optical Flow Estimation
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    Chapter 27 An image registration framework for sliding motion with piecewise smooth deformations
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    Chapter 28 Nonlocal Joint Segmentation Registration Model
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    Chapter 29 Deformable Image Registration with Automatic Non-Correspondence Detection
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    Chapter 30 Bézier Curves in the Space of Images
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    Chapter 31 Computation and Visualization of Local Deformation for Multiphase Metallic Materials by Infimal Convolution of TV-Type Functionals
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    Chapter 32 Second Order Minimum Energy Filtering on $${\text {SE}}_{3}$$ with Nonlinear Measurement Equations
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    Chapter 33 Luminance-Hue Specification in the RGB Space
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    Chapter 34 Variational Exposure Fusion with Optimal Local Contrast
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    Chapter 35 A Variational Model for Color Assignment
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    Chapter 36 Duality Principle for Image Regularization and Perceptual Color Correction Models
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    Chapter 37 PDE-Based Color Morphology Using Matrix Fields
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    Chapter 38 Conditional Gaussian Models for Texture Synthesis
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    Chapter 39 Multiscale Texture Orientation Analysis Using Spectral Total-Variation Decomposition
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    Chapter 40 A $$L^1$$ -TV Algorithm for Robust Perspective Photometric Stereo with Spatially-Varying Lightings
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    Chapter 41 Discrete Varifolds: A Unified Framework for Discrete Approximations of Surfaces and Mean Curvature
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    Chapter 42 Robust Poisson Surface Reconstruction
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    Chapter 43 Variational Perspective Shape from Shading
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    Chapter 44 Multiview Depth Parameterisation with Second Order Regularisation
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    Chapter 45 Invertible Orientation Scores of 3D Images
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    Chapter 46 Edge-Preserving Integration of a Normal Field: Weighted Least-Squares, TV and $$L^1$$ Approaches
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    Chapter 47 Reconstruction of Surfaces from Point Clouds Using a Lagrangian Surface Evolution Model
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    Chapter 48 Solving Minimal Surface Problems on Surfaces and Point Clouds
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    Chapter 49 Data-Driven Sub-Riemannian Geodesics in SE(2)
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    Chapter 50 A sparse algorithm for dense optimal transport
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    Chapter 51 Activity Identification and Local Linear Convergence of Douglas–Rachford/ADMM under Partial Smoothness
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    Chapter 52 Bilevel Optimization with Nonsmooth Lower Level Problems
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    Chapter 53 Convex Image Denoising via Non-Convex Regularization
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    Chapter 54 Infinite Dimensional Optimization Models and PDEs for Dejittering
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    Chapter 55 Alternating Direction Method of Multiplier for Euler’s Elastica-Based Denoising
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    Chapter 56 Asymptotic Behaviour of Total Generalised Variation