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Elements Of Digital Geometry, Mathematical Morphology, And Discrete Optimization

Elements Of Digital Geometry, Mathematical Morphology, And Discrete Optimization PDF Author: Christer Oscar Kiselman
Publisher: World Scientific
ISBN: 9811248311
Category : Mathematics
Languages : en
Pages : 488

Book Description
The author presents three distinct but related branches of science in this book: digital geometry, mathematical morphology, and discrete optimization. They are united by a common mindset as well as by the many applications where they are useful. In addition to being useful, each of these relatively new branches of science is also intellectually challenging.The book contains a systematic study of inverses of mappings between ordered sets, and so offers a uniquely helpful organization in the approach to several phenomena related to duality.To prepare the ground for discrete convexity, there are chapters on convexity in real vector spaces in anticipation of the many challenging problems coming up in digital geometry. To prepare for the study of new topologies introduced to serve in discrete spaces, there is also a chapter on classical topology.The book is intended for general readers with a modest background in mathematics and for advanced undergraduate students as well as beginning graduate students.

Elements Of Digital Geometry, Mathematical Morphology, And Discrete Optimization

Elements Of Digital Geometry, Mathematical Morphology, And Discrete Optimization PDF Author: Christer Oscar Kiselman
Publisher: World Scientific
ISBN: 9811248311
Category : Mathematics
Languages : en
Pages : 488

Book Description
The author presents three distinct but related branches of science in this book: digital geometry, mathematical morphology, and discrete optimization. They are united by a common mindset as well as by the many applications where they are useful. In addition to being useful, each of these relatively new branches of science is also intellectually challenging.The book contains a systematic study of inverses of mappings between ordered sets, and so offers a uniquely helpful organization in the approach to several phenomena related to duality.To prepare the ground for discrete convexity, there are chapters on convexity in real vector spaces in anticipation of the many challenging problems coming up in digital geometry. To prepare for the study of new topologies introduced to serve in discrete spaces, there is also a chapter on classical topology.The book is intended for general readers with a modest background in mathematics and for advanced undergraduate students as well as beginning graduate students.

Discrete Geometry and Mathematical Morphology

Discrete Geometry and Mathematical Morphology PDF Author: Étienne Baudrier
Publisher: Springer Nature
ISBN: 3031198972
Category : Computers
Languages : en
Pages : 479

Book Description
This book constitutes the proceedings of the Second IAPR International Conference on Discrete Geometry and Mathematical Morphology, DGMM 2022, which was held during October 24-27, 2022, in Strasbourg, France. The 33 papers included in this volume were carefully reviewed and selected from 45 submissions. They were organized in topical sections as follows: discrete and combinatorial topology; discrete tomography and inverse problems; multivariate and PDE-based mathematical morphology, morphological filtering; hierarchical and Graph-Based Models, Analysis and Segmentation; discrete geometry - models, transforms, and visualization; learning based morphology to Mathematical Morphology; and distance transform. The book also contains 3 invited keynote papers.

Applications of Discrete Geometry and Mathematical Morphology

Applications of Discrete Geometry and Mathematical Morphology PDF Author: Ullrich Köthe
Publisher: Springer
ISBN: 3642323138
Category : Computers
Languages : en
Pages : 175

Book Description
This book constitutes the refereed proceedings of the first Workshop on Applications of Discrete Geometry and Mathematical Morphology, WADGMM 2010, held at the International Conference on Pattern Recognition in Istanbul, Turkey, in August 2010. The 11 revised full papers presented were carefully reviewed and selected from 25 submissions. The book was specifically designed to promote interchange and collaboration between experts in discrete geometry/mathematical morphology and potential users of these methods from other fields of image analysis and pattern recognition.

Discrete Geometry and Mathematical Morphology

Discrete Geometry and Mathematical Morphology PDF Author: Sara Brunetti
Publisher: Springer Nature
ISBN: 3031577930
Category :
Languages : en
Pages : 462

Book Description


Mathematical Morphology

Mathematical Morphology PDF Author: Laurent Najman
Publisher: John Wiley & Sons
ISBN: 1118600851
Category : Technology & Engineering
Languages : en
Pages : 407

Book Description
Mathematical Morphology allows for the analysis and processing of geometrical structures using techniques based on the fields of set theory, lattice theory, topology, and random functions. It is the basis of morphological image processing, and finds applications in fields including digital image processing (DSP), as well as areas for graphs, surface meshes, solids, and other spatial structures. This book presents an up-to-date treatment of mathematical morphology, based on the three pillars that made it an important field of theoretical work and practical application: a solid theoretical foundation, a large body of applications and an efficient implementation. The book is divided into five parts and includes 20 chapters. The five parts are structured as follows: Part I sets out the fundamental aspects of the discipline, starting with a general introduction, followed by two more theory-focused chapters, one addressing its mathematical structure and including an updated formalism, which is the result of several decades of work. Part II extends this formalism to some non-deterministic aspects of the theory, in particular detailing links with other disciplines such as stereology, geostatistics and fuzzy logic. Part III addresses the theory of morphological filtering and segmentation, featuring modern connected approaches, from both theoretical and practical aspects. Part IV features practical aspects of mathematical morphology, in particular how to deal with color and multivariate data, links to discrete geometry and topology, and some algorithmic aspects; without which applications would be impossible. Part V showcases all the previously noted fields of work through a sample of interesting, representative and varied applications.

Combinatorial Image Analysis

Combinatorial Image Analysis PDF Author: Reneta P. Barneva
Publisher: Springer Nature
ISBN: 3031236122
Category : Computers
Languages : en
Pages : 338

Book Description
This book constitutes the refereed proceedings of the 201st International Workshop on Combinatorial Image Analysis, IWCIA 2022, held in Messina, Italy, in July 2022. The 20 full papers presented were carefully reviewed and selected from 24 submissions. The papers are grouped into four sections. The first one consists of one invited talk. The second section contains seven papers devoted to digital geometry and topology. The third part consists of six papers discussing picture languages. The last part, including six papers, is devoted to various applications. We believe that many of these papers would be of interest to a broader audience, including researchers in scientific areas such as computer vision, shape modeling, pattern analysis and recognition, and computer graphics.

Handbook of Complex Analysis

Handbook of Complex Analysis PDF Author: Steven G. Krantz
Publisher: CRC Press
ISBN: 1351663054
Category : Mathematics
Languages : en
Pages : 519

Book Description
In spite of being nearly 500 years old, the subject of complex analysis is still today a vital and active part of mathematics. There are important applications in physics, engineering, and other aspects of technology. This Handbook presents contributed chapters by prominent mathematicians, including the new generation of researchers. More than a compilation of recent results, this book offers students an essential stepping-stone to gain an entry into the research life of complex analysis. Classes and seminars play a role in this process. More, though, is needed for further study. This Handbook will play that role. This book is also a reference and a source of inspiration for more seasoned mathematicians—both specialists in complex analysis and others who want to acquaint themselves with current modes of thought. The chapters in this volume are authored by leading experts and gifted expositors. They are carefully crafted presentations of diverse aspects of the field, formulated for a broad and diverse audience. This volume is a touchstone for current ideas in the broadly construed subject area of complex analysis. It should enrich the literature and point in some new directions.

Discrete Geometry and Mathematical Morphology

Discrete Geometry and Mathematical Morphology PDF Author: Sara Brunetti
Publisher: Springer
ISBN: 9783031577925
Category : Computers
Languages : en
Pages : 0

Book Description
This book constitutes the refereed proceedings of the Third International Joint Conference on Discrete Geometry and Mathematical Morphology, DGMM 2024, held in Florence, Italy during April 15–18, 2024. The 34 full papers included in this book were carefully reviewed and selected from 51 submissions. They were organized in topical sections as follows: Digital Geometry - Models, Transforms, and Visualization; Computational Aspects of Discrete Structures and Tilings; Learning Based Morphology; Hierarchical and Graph-Based Models, Analysis and Segmentation; Discrete and Combinatorial Topology; and Mathematical Morphology and Digital Geometry for Applications.

Discrete Geometry and Mathematical Morphology

Discrete Geometry and Mathematical Morphology PDF Author: Joakim Lindblad
Publisher: Springer Nature
ISBN: 3030766578
Category : Computers
Languages : en
Pages : 553

Book Description
This book constitutes the proceedings of the First IAPR International Conference on Discrete Geometry and Mathematical Morphology, DGMM 2021, which was held during May 24-27, 2021, in Uppsala, Sweden. The conference was created by joining the International Conference on Discrete Geometry for computer Imagery, DGCI, with the International Symposium on Mathematical Morphology, ISMM. The 36 papers included in this volume were carefully reviewed and selected from 59 submissions. They were organized in topical sections as follows: applications in image processing, computer vision, and pattern recognition; discrete and combinatorial topology; discrete geometry - models, transforms, visualization; discrete tomography and inverse problems; hierarchical and graph-based models, analysis and segmentation; learning-based approaches to mathematical morphology; multivariate and PDE-based mathematical morphology, morphological filtering. The book also contains 3 invited keynote papers.

Digital and Discrete Geometry

Digital and Discrete Geometry PDF Author: Li M. Chen
Publisher: Springer
ISBN: 3319120999
Category : Computers
Languages : en
Pages : 325

Book Description
This book provides comprehensive coverage of the modern methods for geometric problems in the computing sciences. It also covers concurrent topics in data sciences including geometric processing, manifold learning, Google search, cloud data, and R-tree for wireless networks and BigData. The author investigates digital geometry and its related constructive methods in discrete geometry, offering detailed methods and algorithms. The book is divided into five sections: basic geometry; digital curves, surfaces and manifolds; discretely represented objects; geometric computation and processing; and advanced topics. Chapters especially focus on the applications of these methods to other types of geometry, algebraic topology, image processing, computer vision and computer graphics. Digital and Discrete Geometry: Theory and Algorithms targets researchers and professionals working in digital image processing analysis, medical imaging (such as CT and MRI) and informatics, computer graphics, computer vision, biometrics, and information theory. Advanced-level students in electrical engineering, mathematics, and computer science will also find this book useful as a secondary text book or reference. Praise for this book: This book does present a large collection of important concepts, of mathematical, geometrical, or algorithmical nature, that are frequently used in computer graphics and image processing. These concepts range from graphs through manifolds to homology. Of particular value are the sections dealing with discrete versions of classic continuous notions. The reader finds compact definitions and concise explanations that often appeal to intuition, avoiding finer, but then necessarily more complicated, arguments... As a first introduction, or as a reference for professionals working in computer graphics or image processing, this book should be of considerable value." - Prof. Dr. Rolf Klein, University of Bonn.