Digital Geometry Algorithms Theoretical Foundations and Applications to Computational Imaging

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 p...

Full description

Bibliographic Details
Other Authors: Brimkov, Valentin E. (Editor), Barneva, Reneta P. (Editor)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 2012, 2012
Edition:1st ed. 2012
Series:Lecture Notes in Computational Vision and Biomechanics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
LEADER 03815nmm a2200409 u 4500
001 EB000401486
003 EBX01000000000000000254539
005 00000000000000.0
007 cr|||||||||||||||||||||
008 130626 ||| eng
020 |a 9789400741744 
100 1 |a Brimkov, Valentin E.  |e [editor] 
245 0 0 |a Digital Geometry Algorithms  |h Elektronische Ressource  |b Theoretical Foundations and Applications to Computational Imaging  |c edited by Valentin E. Brimkov, Reneta P. Barneva 
250 |a 1st ed. 2012 
260 |a Dordrecht  |b Springer Netherlands  |c 2012, 2012 
300 |a X, 430 p  |b online resource 
505 0 |a Preface -- List of Contributors -- Part I General -- 1 Digital Geometry in Image-Based Metrology; Alfred M. Bruckstein -- 2 Provably Robust Simplification of Component Trees of Multidimensional Images; Gabor T. Herman, T. Yung Kong, and Lucas M. Oliveira -- Part II Topology, Transformations -- 3 Discrete Topological Transformations for Image Processing; Michel Couprie and Gilles Bertrand -- 4 Modeling and Manipulating Cell Complexes in Two, Three and Higher Dimensions; Lidija Čomić and Leila De Floriani -- 5 Binarization of Gray-Level Images Based on Skeleton Region Growing; Xiang Bai, Quannan Li, Tianyang Ma, Wenyu Liu, and Longin Jan Latecki -- 6 Topology Preserving Parallel 3D Thinning Algorithms; Kálmán Palágyi, Gábor Németh, and Péter Kardos -- 7 Separable Distance Transformation and its Applications; David Coeurjolly and Antoine Vacavant -- 8 Separability and Tight Enclosure of Point Sets; Peter Veelaert -- Part III Image and Shape Analysis -- Digital Straightness, Circularity, and their Applications to Image Analysis; Partha Bhowmick and Bhargab B. Bhattacharya -- 10 Shape Analysis with Geometric Primitives; Fabien Feschet -- 11 Shape from Silhouettes in Discrete Space; Atsushi Imiya and Kosuke Sato -- 12 Combinatorial Maps for 2D and 3D Image Segmentation; Guillaume Damiand and Alexandre Dupas -- 13 Multigrid Convergence of Discrete Geometric Estimators; David Coeurjolly, Jacques-Olivier Lachaud, and Tristan Roussillon -- Index 
653 |a Image processing / Digital techniques 
653 |a Engineering mathematics 
653 |a Computer vision 
653 |a Algorithms 
653 |a Convex geometry  
653 |a Computer Imaging, Vision, Pattern Recognition and Graphics 
653 |a Signal, Speech and Image Processing 
653 |a Engineering / Data processing 
653 |a Convex and Discrete Geometry 
653 |a Discrete geometry 
653 |a Signal processing 
653 |a Mathematical and Computational Engineering Applications 
700 1 |a Barneva, Reneta P.  |e [editor] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Lecture Notes in Computational Vision and Biomechanics 
028 5 0 |a 10.1007/978-94-007-4174-4 
856 4 0 |u https://doi.org/10.1007/978-94-007-4174-4?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 621.382 
520 |a 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