Combinatorial Image Analysis


Book Description

This volume constitutes the refereed proceedings of the 17th International Workshop on Combinatorial Image Analysis, IWCIA 2015, held in Kolkata, India, in November 2015. The 24 revised full papers and 2 invited papers presented were carefully reviewed and selected from numerous submissions. The workshop provides theoretical foundations and methods for solving problems from various areas of human practice. In contrast to traditional approaches to image analysis which implement continuous models, float arithmetic and rounding, combinatorial image analysis features discrete modelsusing integer arithmetic. The developed algorithms are based on studying combinatorial properties of classes of digital images, and often appear to be more efficient and accurate than those based on continuous models.




Combinatorial Image Analysis


Book Description

This volume presents the proceedings of the 10th International Workshop on Combinatorial Image Analysis, held December 1–3, 2004, in Auckland, New Zealand. Prior meetings took place in Paris (France, 1991), Ube (Japan, 1992), Washington DC (USA, 1994), Lyon (France, 1995), Hiroshima (Japan, 1997), Madras (India, 1999), Caen (France, 2000), Philadelphia (USA, 2001), and - lermo (Italy, 2003). For this workshop we received 86 submitted papers from 23 countries. Each paper was evaluated by at least two independent referees. We selected 55 papers for the conference. Three invited lectures by Vladimir Kovalevsky (Berlin), Akira Nakamura (Hiroshima), and Maurice Nivat (Paris) completed the program. Conference papers are presented in this volume under the following topical part titles: discrete tomography (3 papers), combinatorics and computational models (6), combinatorial algorithms (6), combinatorial mathematics (4), d- ital topology (7), digital geometry (7), approximation of digital sets by curves and surfaces (5), algebraic approaches (5), fuzzy image analysis (2), image s- mentation (6), and matching and recognition (7). These subjects are dealt with in the context of digital image analysis or computer vision.




Combinatorial Image Analysis


Book Description

This volume constitutes the refereed proceedings of the 11th International Workshop on Combinatorial Image Analysis, IWCIA 2006, held in Berlin, June 2006. The book presents 34 revised full papers together with two invited papers, covering topics including combinatorial image analysis; grammars and models for analysis and recognition of scenes and images; combinatorial topology and geometry for images; digital geometry of curves and surfaces; algebraic approaches to image processing, and more.




Combinatorial Image Analysis


Book Description

This book constitutes the proceedings of the 18th International Workshop on Combinatorial Image Analysis, IWCIA 2017, held in Plovdiv, Bulgaria, in June 2017. The 27 revised full papers presented were carefully reviewed and selected from 47 submissions. The workshop is organized in topical sections of theoretical foundations and theory of applications, namely: discrete geometry and topology; tilings and patterns; grammars, models and other technical tools for image analysis; image segmentation, classification; reconstruction; compression; texture analysis; bioimaging.




Combinatorial Image Analysis


Book Description

This volume constitutes the refereed proceedings of the 14th International Workshop on Combinatorial Image Analysis, IWCIA 2011, held in Madrid, Spain, in May 2011. The 25 revised full papers and 13 poster papers presented together with 4 invited contributions were carefully reviewed and selected from 60 submissions. The papers are organized in topical sections such as combinatorial problems in the discrete plane and space related to image analysis; lattice polygons and polytopes; discrete/combinatorial geometry and topology and their use in image analysis; digital geometry of curves and surfaces; tilings and patterns; combinatorial pattern matching; image representation, segmentation, grouping, and reconstruction; methods for image compression; discrete tomography; applications of integer programming, linear programming, and computational geometry to problems of image analysis; parallel architectures and algorithms for image analysis; fuzzy and stochastic image analysis; grammars and models for image or scene analysis and recognition, cellular automata; mathematical morphology and its applications to image analysis; applications in medical imaging, biometrics, and others.




Combinatorial Image Analysis


Book Description

The articles included in this volume were presented at the 13th International Workshop on Combinatorial Image Analysis, IWCIA 2009, held at Playa del Carmen, Yucatan Peninsula, Mexico, November 24-27, 2009. The 12 previous meetings were held in Paris (France) 1991, Ube (Japan) 1992, Washington DC (USA) 1994,Lyon(France) 1995,Hiroshima(Japan) 1997,Madras(India) 1999, Caen (France) 2000, Philadelphia (USA) 2001, Palermo (Italy) 2003, Auckland (New Zealand) 2004, Berlin (Germany) 2006, and Bu?alo (USA) 2008. Imageanalysisisa scienti?c discipline whichprovidestheoreticalfoundations and methods for solving problems appearing in a range of areas as diverse as biology,medicine,physics,astronomy,geography,chemistry,robotics,andind- trial manufacturing. It deals with algorithms and methods aimed at extracting meaningful information from images. The processing is done through computer systems, and the focus is, therefore, on images presented in digital form. Unlike traditional approaches, which are based on continuous models requiring ?oat arithmetic computations and rounding, “combinatorial” approaches to image analysis (also named “discrete” or “digital” approaches) are based on studying the combinatorial properties of the digital images. They provide models and - gorithms, which are generally more e?cient and accurate than those based on continuous models. Some recent combinatorial approaches aim at constructing self-contained digital topology and geometry, which might be of interest and - portancenot only for imageanalysis,but also asa distinct theoretical discipline. Following the call for papers, IWCIA 2009 received 70 submissions. After a rigorous review process, 32 were accepted for inclusion in this volume.




Combinatorial Image Analysis


Book Description

This book constitutes the refereed proceedings of the 20th International Workshop on Combinatorial Image Analysis, IWCIA 2020, held in Novi Sad, Serbia, in July 2020. The 20 full papers presented were carefully reviewed and selected from 23 submissions. The papers are grouped into two sections. The first one includes twelve papers devoted to theoretical foundations of combinatorial image analysis, including digital geometry and topology, array grammars, picture languages, digital tomography, and other technical tools for image analysis. The second part includes eight papers presenting application-driven research on topics such as image repairing, annotation of images, image reconstruction, forgery detection, and dealing with noise in images.




Image Processing and Analysis with Graphs


Book Description

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.




Combinatorial Image Analysis


Book Description

This book constitutes the refereed proceedings of the 19th International Workshop on Combinatorial Image Analysis, IWCIA 2018, held in Porto, Portugal, in November 2018. The 18 revised full papers presented were carefully reviewed and selected from 32 submissions. The papers are grouped into two sections. The first one includes nine papers devoted to theoretical foundations of combinatorial image analysis, including digital geometry and topology, array grammars, tilings and patterns, discrete geometry in non-rectangular grids, and other technical tools for image analysis. The second part includes nine papers presenting application-driven research on topics such as discrete tomography, image segmentation, texture analysis, and medical imaging.




Analytic Combinatorics


Book Description

Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.