Image Processing and Analysis with Graphs: Theory and Practice

ISBN-13: 9781138071766 / Angielski / Miękka / 2017 / 570 str.

Opis

Covering the theoretical aspects of image processing and analysis through the use of graphs in the representation and analysis of objects, Image Processing and Analysis with Graphs: Theory and Practice also demonstrates how these concepts are indispensible for the design of cutting-edge solutions for real-world applications.

Explores new applications in computational photography, image and video processing, computer graphics, recognition, medical and biomedical imaging

With the explosive growth in image production, in everything from digital photographs to medical scans, there has been a drastic increase in the number of applications based on digital images. This book explores how graphs—which are suitable to represent any discrete data by modeling neighborhood relationships—have emerged as the perfect unified tool to represent, process, and analyze images. It also explains why graphs are ideal for defining graph-theoretical algorithms that enable the processing of functions, making it possible to draw on the rich literature of combinatorial optimization to produce highly efficient solutions.

Some key subjects covered in the book include:

• Definition of graph-theoretical algorithms that enable denoising and image enhancement
• Energy minimization and modeling of pixel-labeling problems with graph cuts and Markov Random Fields
• Image processing with graphs: targeted segmentation, partial differential equations, mathematical morphology, and wavelets
• Analysis of the similarity between objects with graph matching
• Adaptation and use of graph-theoretical algorithms for specific imaging applications in computational photography, computer vision, and medical and biomedical imaging

Use of graphs has become very influential in computer science and has led to many applications in denoising, enhancement, restoration, and object extraction. Accounting for the wide variety of problems being solved with graphs in image processing and computer vision, this book is a contributed volume of chapters written by renowned experts who address specific techniques or applications. This state-of-the-art overview provides application examples that illustrate practical application of theoretical algorithms. Useful as a support for graduate courses in image processing and computer vision, it is also perfect as a reference for practicing engineers working on development and implementation of image processing and analysis algorithms.

Spis treści

Graph Theory Concepts and Definitions Used in Image Processing and Analysis. Graph Cuts—Combinatorial Optimization in Vision. Higher-Order Models in Computer Vision. A Parametric Maximum Flow Approach for Discrete Total Variation Regularization. Targeted Image Segmentation Using Graph Methods. A Short Tour of Mathematical Morphology on Edge and Vertex Weighted Graphs. Partial Difference Equations on Graphs for Local and Nonlocal Image Processing. Image Denoising with Nonlocal Spectral Graph Wavelets. Image and Video Matting. Optimal Simultaneous Multisurface and Multiobject Image Segmentation. Hierarchical Graph Encodings. Graph-Based Dimensionality Reduction. Graph Edit Distance—Theory, Algorithms, and Applications. The Role of Graphs in Matching Shapes and in Categorization. 3D Shape Registration Using Spectral Graph Embedding and Probabilistic Matching. Modeling Images with Undirected Graphical Models. Tree-Walk Kernels for Computer Vision.