
Energy Minimization Methods in Computer Vision and Pattern Recognition
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Content
- Title
- Preface
- Table of Contents
- Discrete Optimization
- A Distributed Mincut/Maxflow Algorithm Combining Path Augmentation and Push-Relabel
- Introduction
- Mincut and Push-Relabel
- Region Discharge Revisited
- Augmented Path Region Discharge
- New Distance Function
- New Region Discharge
- Complexity of the Sequential ARD
- Experiments
- Synthetic Instances
- Real Instances
- Conclusion
- References
- Minimizing Count-Based High Order Terms in Markov Random Fields
- Introduction
- Count-Based Terms as Integer Linear Programs
- Integer Programming Formulation
- Special Cases
- Composite Features
- Optimization Strategies
- Linear Programming
- Customized Cutting Planes
- Branch-and-Cut
- Experiments
- Histogram-Based Image Segmentation
- Binary Texture Denoising
- Completion of Binary Textures
- Conclusion
- References
- Globally Optimal Image Partitioning by Multicuts
- Introduction
- Problem Description
- Image Labeling
- Unsupervised Pairwise Image Partitioning
- The Multicut Problem
- Image Labeling as Multicut Problem
- Finding an Optimal Multicut
- Linear Programming Formulations
- Rounding Fractional Solutions
- Finding Violated Constraints
- Experiments
- Conclusions
- References
- A Fast Solver for Truncated-Convex Priors: Quantized-Convex Split Moves
- Introduction
- Related Work
- Move Algorithms
- Quantized Move
- Convex Moves
- Truncated Convex Prior Algorithm
- Results
- Conclusion and Future Work
- References
- Continuous Optimization
- Temporally Consistent Gradient Domain Video Editing
- Introduction
- Video Editing Model (Continuous Setting)
- Discretization of the Model
- Discretization of the Convective Derivative
- The Deblurring Convective Derivative (DCD)
- Applications
- Conclusions and Future Work
- References
- Texture Segmentation via Non-local Non-parametric Active Contours
- Introduction
- Previous Works
- Comparison with Previous Works
- Contributions
- Non-local Active Contours
- Un-normalized Non-local Active Contours [10,11]
- Normalized Non-local Active Contour Model
- Wasserstein Local Homogeneity
- Wasserstein Distance
- Sliced Wasserstein Distance
- Wasserstein Non-local Active Contours
- Experimental Results and Comparisons
- Conclusion
- References
- Evaluation of a First-Order Primal-Dual Algorithm for MRF Energy Minimization
- Introduction
- Overview
- Related Work and Motivation
- Contribution
- Methods
- LP Relaxation of the MAP Problem
- Primal-Dual Iteration Scheme
- Estimating Primal and Dual Bounds
- Experimental Results
- Conclusion
- References
- Global Relabeling for Continuous Optimization in Binary Image Segmentation
- Introduction
- Preliminaries
- Binary Segmentation Models
- Graph Cuts
- Total Variation Formulation
- Primal-Dual Gap
- Algorithm
- Primal Dual Optimization
- Global Relabeling
- Experimental Results
- Conclusion
- References
- Stop Condition for Subgradient Minimization in Dual Relaxed (max,+) Problem
- Introduction: Definition of Main Concepts
- Equivalent Transformations of a Relaxed Labeling Problem into Trivial One
- Subgradient Descent
- Stop Condition of the Subgradient Descent Algorithm
- Finding the Upper and Lower Bound of the Problem's Slack
- Minimizing the Upper Bound
- Experiments
- Vertical and Horizontal Lines
- Segmentation
- Concluding Remarks
- References
- Segmentation
- Optimality Bounds for a Variational Relaxation of the Image Partitioning Problem
- Introduction
- Probabilistic Rounding and the Coarea Formula
- Probabilistic Rounding for Multiclass Image Partitions
- A Probabilistic A Priori Optimality Bound
- Experiments
- Conclusion
- References
- Interactive Segmentation with Super-Labels
- Introduction
- Related Work
- Modeling Complex Appearance via Super-Labels
- Problem Formulation
- Our SUPERLABELSEG Algorithm
- Applications and Experiments
- Binary Segmentation
- Complex Appearance Models
- Multi-Class Segmentation
- Interactive Co-segmentation
- Discussion: Super-Labels as Semi-supervised Learning
- Conclusion
- References
- Curvature Regularity for Multi-label Problems - Standard and Customized Linear Programming
- Introduction
- Curvature and Linear Programming
- Formulations for Multi-label Problems
- Multi-Region Segmentation
- Inpainting
- Denoising
- Alternative Strategies
- Linear Programming and Higher Order MRFs
- Do We Need Standard Solvers?
- Experiments
- Image Segmentation
- Inpainting
- Denoising
- Comparison of ILPs
- Conclusion
- References
- Space-Varying Color Distributions for Interactive Multiregion Segmentation: Discrete versus Continuous Approaches
- Introduction
- A Statistical Framework for Segmentation
- Segmentation as Bayesian Inference
- Inferring Space-Variant Color Distributions
- Discrete versus Continuous Energies
- MRF Approaches
- PDE Approaches
- Advantages and Disadvantages
- Comparison of Segmentation Accuracy
- Results on the Graz Benchmark
- Visual Results
- Ambiguities
- Metrication Errors
- Runtimes
- Conclusion
- References
- Detachable Object Detection with Efficient Model Selection
- Introduction
- Related Work and Key Idea
- Background: From Local Occlusion Ordering to Global Consistency
- Automatic Model Selection: Formulation
- Automatic Model Selection: Implementation
- Experiments
- Qualitative Performance
- Failure Modes
- Quantitative Assessment
- Discussion
- References
- Curvature Regularization for Curves and Surfaces in a Global Optimization Framework
- Curvature in Vision
- Length and Area Regularization
- Curvature Regularization
- Avoiding Extraneous Arcs
- Curvature of Surfaces
- Pseudo-Boolean Optimization
- Tessellations
- Hexagonal Meshes
- Adaptive Meshes
- Experimental Results
- Hexagonal Meshes
- Adaptive Meshes
- The Wilmore Functional
- Pseudo-Boolean Optimization
- Conclusions
- References
- SlimCuts: GraphCuts for High Resolution Images Using Graph Reduction
- Introduction
- Prior Work
- Contribution
- Segmentation by Discrete Energy Minimization
- Constructing Slim Graphs
- Slim Graphs for Simplified User Interaction
- Experiments
- Experiments on Small Scale Images
- Experiments on Large Scale Images
- Experiments on Resource-Limited Systems
- Conclusion
- References
- Discrete Optimization of the Multiphase Piecewise Constant Mumford-Shah Functional
- Introduction
- Previous Work
- Methods
- Review of Level Set Formulation of the Multiphase Mumford Shah model
- Discrete Formulation
- Discrete Optimization
- Algorithm
- Experimental Results
- Conclusion
- References
- Image Segmentation with a Shape Prior Based on Simplified Skeleton
- Introduction
- Related Work
- Contribution
- An Iterative Approach to Segmentation with a Shape Prior
- Iterative Segmentation as a Coordinate Descent
- Relation to EM Algorithm
- Simplified Figure Skeleton as a Shape Prior
- Graph-Based Shape Model
- Unary Potentials
- Shape Fitting via Simulated Annealing
- Experiments
- Unary and Pairwise Terms
- Coordinate Descent
- Giraffe Segmentation
- Letter Segmentation
- Conclusion
- References
- High Resolution Segmentation of Neuronal Tissues from Low Depth-Resolution EM Imagery
- Introduction
- Approach
- Learning a Discriminative, over-Complete Dictionary
- SVM Classifier
- Experiments
- Parameter Selection
- Simulations with FIB Data
- ssTEM Data
- Conclusion
- References
- Motion and Video
- Optical Flow Guided TV-L1 ideo Interpolation and Restoration
- Introduction
- The Optical Flow Guided TV-L1 Model
- Minimizing the Optical Flow Guided TV-L1 Model
- Discretization
- Primal-Dual Algorithm
- The Optical Flow Guided TV-L1 Model for Frame Interpolation
- Application and Numerical Evaluations
- Denoising
- Inpainting
- Image Sequence Interpolation
- Conclusion
- References
- Data-Driven Importance Distributions for Articulated Tracking
- Motivation
- Articulated Tracking Using Particle Filters
- Related Work
- A Failed Experiment
- Spatial Predictions
- Data-Driven Importance Distributions
- An Importance Distribution Based on Silhouettes
- An Importance Distribution Based on Depth
- A Simple Likelihood Model
- Experimental Results
- Conclusion
- References
- Robust Trajectory-Space TV-L1 Optical Flow for Non-rigid Sequences
- Introduction
- Related Work and Contribution
- Multi-frame Image Alignment
- Subspace Trajectory Model
- Choice of Basis
- Variational Multi-frame Optical Flow Estimation
- Optimization of the Proposed Energy
- Minimization of Step 1
- Minimization of Step 2
- Implementation Details
- Experimental results
- Construction of a Ground Truth Benchmark Dataset
- Quantitative Results on Benchmark Sequence
- Experiments on Real Sequences
- Conclusions
- References
- TV-L1 Optical Flow for Vector Valued Images
- Introduction
- TV-L1 Optical Flow of Vector Valued Images
- A General Minimization Problem
- Implementation
- Projections on Elliptic Balls
- Implementation Choices
- Examples
- Results
- Conclusion and Future Research
- References
- Using the Higher Order Singular Value Decomposition for Video Denoising
- Introduction
- Theory
- Implementation of the HOSVD for Video Denoising
- Choice of Patch Similarity Measure
- HOSVD and Universal 3D Transforms
- Experimental Results and Comparisons
- Conclusion
- References
- Learning
- Optimization of Robust Loss Functions for Weakly-Labeled Image Taxonomies: An Image Net Case Study
- Introduction
- Literature Review
- Problem Statement
- The Loss Function
- 'Boosting' of Binary Classifiers
- The Latent Setting
- The Optimization Problem
- Convex Relaxation
- Learning the Latent Variables
- Column Generation
- Experiments
- Binary Classifiers
- Structured Classifiers
- Conclusion
- References
- Multiple-Instance Learning with Structured Bag Models
- Introduction
- Structured Bag Models
- Model 1 (Hard Constraints)
- Model 2 (Soft Constraints)
- Model 3 (Combined Model)
- Inference Using Dual Decomposition
- Model 1 (Hard Constraints)
- Model 2 (Soft Constraints)
- Model 3 (Combined Model)
- Training Using Deterministic Annealing
- Model 1 (Hard Constraints)
- Model 2 (Soft Constraints)
- Model 3 (Combined Model)
- Semi-supervised Segmentation with Weak MIL Annotations (Road Crack Detection)
- MIL-Based Interactive Cosegmentation
- Discussion
- References
- Branch and Bound Strategies for Non-maximal Suppression in Object Detection
- Introduction
- Related Work
- The Energy
- Minimization of a Supermodular Function
- Branch and Bound Implementations
- Theoretical Results
- Empirical Results
- Discussion
- Conclusions
- References
- Shape Analysis
- Metrics, Connections, and Correspondence: The Setting for Groupwise Shape Analysis
- Introduction
- The Metric
- Global and Local Re-parameterisations
- Correspondence and Connections
- Optimising Correspondence
- Discussion
- References
- The Complex Wave Representation of Distance Transforms
- Introduction
- The Complex Wave Representation (CWR)
- Distance Transform Gradient Density
- Properties of the Fourier Transform of the CWR
- Spatial Frequencies as Gradient Histogram Bins
- Power Spectrum of ?(x, y) as a Gradient Density Estimator
- Empirical Confirmation of the Main Result
- Discussion
- References
- Author Index
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