Digital Geometry Algorithms (eBook)

Theoretical Foundations and Applications to Computational Imaging
eBook Download: PDF
2012 | 2012
X, 430 Seiten
Springer Netherland (Verlag)
978-94-007-4174-4 (ISBN)

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Digital geometry emerged as an independent discipline in the second half of the last century. It deals with geometric properties of digital objects and is developed with the unambiguous goal to provide rigorous theoretical foundations for devising new advanced approaches and algorithms for various problems of visual computing. Different aspects of digital geometry have been addressed in the literature. This book is the first one that explicitly focuses on the presentation of the most important digital geometry algorithms. Each chapter provides a brief survey on a major research area related to the general volume theme, description and analysis of related fundamental algorithms, as well as new original contributions by the authors. Every chapter contains a section in which interesting open problems are addressed.
Digital geometry emerged as an independent discipline in the second half of the last century. It deals with geometric properties of digital objects and is developed with the unambiguous goal to provide rigorous theoretical foundations for devising new advanced approaches and algorithms for various problems of visual computing. Different aspects of digital geometry have been addressed in the literature. This book is the first one that explicitly focuses on the presentation of the most important digital geometry algorithms. Each chapter provides a brief survey on a major research area related to the general volume theme, description and analysis of related fundamental algorithms, as well as new original contributions by the authors. Every chapter contains a section in which interesting open problems are addressed.

PrefaceList of ContributorsPart I General1 Digital Geometry in Image-Based Metrology; Alfred M. Bruckstein2 Provably Robust Simplification of Component Trees of Multidimensional Images; Gabor T. Herman, T. Yung Kong, and Lucas M. OliveiraPart II Topology, Transformations3 Discrete Topological Transformations for Image Processing; Michel Couprie and Gilles Bertrand4 Modeling and Manipulating Cell Complexes in Two, Three and Higher Dimensions; Lidija Čomić and Leila De Floriani5 Binarization of Gray-Level Images Based on Skeleton Region Growing; Xiang Bai, Quannan Li, Tianyang Ma, Wenyu Liu, and Longin Jan Latecki6 Topology Preserving Parallel 3D Thinning Algorithms; Kálmán Palágyi, Gábor Németh, and Péter Kardos7 Separable Distance Transformation and its Applications; David Coeurjolly and Antoine Vacavant8 Separability and Tight Enclosure of Point Sets; Peter VeelaertPart III Image and Shape Analysis9 Digital Straightness, Circularity, and Their Applications to Image Analysis; Partha Bhowmick and Bhargab B. Bhattacharya10 Shape Analysis with Geometric Primitives; Fabien Feschet11 Shape from Silhouettes in Discrete Space; Atsushi Imiya and Kosuke Sato12 Combinatorial Maps for 2D and 3D Image Segmentation; Guillaume Damiand and Alexandre Dupas13 Multigrid Convergence of Discrete Geometric Estimators; David Coeurjolly, Jacques-Olivier Lachaud, and Tristan RoussillonIndex

Erscheint lt. Verlag 20.5.2012
Reihe/Serie Lecture Notes in Computational Vision and Biomechanics
Lecture Notes in Computational Vision and Biomechanics
Zusatzinfo X, 430 p.
Verlagsort Dordrecht
Sprache englisch
Themenwelt Informatik Grafik / Design Digitale Bildverarbeitung
Mathematik / Informatik Informatik Programmiersprachen / -werkzeuge
Informatik Theorie / Studium Algorithmen
Informatik Theorie / Studium Künstliche Intelligenz / Robotik
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Geometrie / Topologie
Technik Elektrotechnik / Energietechnik
Technik Nachrichtentechnik
Schlagworte computational imaging • digital geometry algorithms • Visual Computing
ISBN-10 94-007-4174-X / 940074174X
ISBN-13 978-94-007-4174-4 / 9789400741744
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