Scale Space and PDE Methods in Computer Vision

Table of Contents

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   Book Overview
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   Chapter 1 Relativistic Scale-Spaces
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   Chapter 2 Regularity and Scale-Space Properties of Fractional High Order Linear Filtering
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   Chapter 3 Image Features and the 1-D, 2 nd Order Gaussian Derivative Jet
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   Chapter 4 A New Technique for Local Symmetry Estimation
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   Chapter 5 Geometry of Isophote Curves
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   Chapter 6 Stability of Top-Points in Scale Space
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   Chapter 7 Discrete Representation of Top Points via Scale Space Tessellation
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   Chapter 8 A Linear Image Reconstruction Framework Based on Sobolev Type Inner Products
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    Chapter 9 Multi-scale Singularity Trees: Soft-Linked Scale-Space Hierarchies
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    Chapter 10 Image Deblurring in the Presence of Salt-and-Pepper Noise
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    Chapter 11 Phase Contrast MRI Segmentation Using Velocity and Intensity
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    Chapter 12 Active Shape Models and Segmentation of the Left Ventricle in Echocardiography
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    Chapter 13 A Variational Image Registration Approach Based on Curvature Scale Space
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    Chapter 14 A Scale-Space Analysis of a Contour Figure Using a Crystalline Flow
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    Chapter 15 Multiscale Active Contours
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    Chapter 16 Riesz-Transforms Versus Derivatives: On the Relationship Between the Boundary Tensor and the Energy Tensor
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    Chapter 17 GET: The Connection Between Monogenic Scale-Space and Gaussian Derivatives
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    Chapter 18 Matrix-Valued Filters as Convex Programs
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    Chapter 19 Retinex by Two Bilateral Filters
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    Chapter 20 Estimation of the Optimal Variational Parameter via SNR Analysis
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    Chapter 21 A Contrast Invariant Approach to Motion Estimation
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    Chapter 22 Vortex and Source Particles for Fluid Motion Estimation
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    Chapter 23 Discrete Orthogonal Decomposition and Variational Fluid Flow Estimation
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    Chapter 24 Discontinuity-Preserving Computation of Variational Optic Flow in Real-Time
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    Chapter 25 The Structure of Shapes Scale Space Aspects of the (pre-) Symmetry Set
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    Chapter 26 A Non-convex PDE Scale Space
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    Chapter 27 Tree Edit Distances from Singularity Theory
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    Chapter 28 The Stochastic Structure of Images
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    Chapter 29 Skeletons of 3D Shapes
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    Chapter 30 Scale-Space Generation via Uncertainty Principles
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    Chapter 31 Scale Invariant Texture Analysis Using Multi-scale Local Autocorrelation Features
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    Chapter 32 Figure Field Analysis of Linear Scale-Space Image
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    Chapter 33 Mumford-Shah Model Based Man-Made Objects Detection from Aerial Images
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    Chapter 34 A Multigrid Approach to Image Processing
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    Chapter 35 A Total Variation Motion Adaptive Deinterlacing Scheme
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    Chapter 36 A Geometric Formulation of Gradient Descent for Variational Problems with Moving Surfaces
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    Chapter 37 On Image Reconstruction from Multiscale Top Points
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    Chapter 38 Texture Mapping via Spherical Multi-dimensional Scaling
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    Chapter 39 On Similarity-Invariant Fairness Measures
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    Chapter 40 On α Kernels, Lévy Processes, and Natural Image Statistics
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    Chapter 41 An Analysis of Variational Alignment of Curves in Images
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    Chapter 42 Enhancing Images Painted on Manifolds
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    Chapter 43 A Two-Step Area Based Method for Automatic Tight Segmentation of Zona Pellucida in HMC Images of Human Embryos
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    Chapter 44 Relations Between Higher Order TV Regularization and Support Vector Regression
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    Chapter 45 Perfusion Analysis of Nonlinear Liver Ultrasound Images Based on Nonlinear Matrix Diffusion
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    Chapter 46 Stabilised Nonlinear Inverse Diffusion for Approximating Hyperbolic PDEs
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    Chapter 47 Sparse Finite Element Level-Sets for Anisotropic Boundary Detection in 3D Images
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    Chapter 48 A Scale Space Method for Volume Preserving Image Registration
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    Chapter 49 Piecewise Constant Level Set Methods and Image Segmentation
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    Chapter 50 PDE-Based Deconvolution with Forward-Backward Diffusivities and Diffusion Tensors
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    Chapter 51 Denoising of Audio Data by Nonlinear Diffusion
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    Chapter 52 A Four-Pixel Scheme for Singular Differential Equations
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    Chapter 53 Isometric Embedding of Facial Surfaces into $\mathbb{S}^{\rm 3}$