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" Discrete geometry for computer imagery : "
Michel Couprie, Jean Cousty, Yukiko Kenmochi, Nabil Mustafa (eds.).
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BL
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861112
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DGCI (Conference)(21st :2019 :, Marne-la-Vallée, France)
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| Title & Author
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Discrete geometry for computer imagery : : 21st IAPR International Conference, DGCI 2019, Marne-la-Vallée, France, March 26-28, 2019, Proceedings /\ Michel Couprie, Jean Cousty, Yukiko Kenmochi, Nabil Mustafa (eds.).
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| Publication Statement
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Cham, Switzerland :: Springer,, 2019.
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| Series Statement
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Lecture notes in computer science ;; 11414
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LNCS sublibrary. SL 6, Image processing, computer vision, pattern recognition, and graphics
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1 online resource (xiv, 496 pages) :: illustrations (some color)
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| ISBN
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3030140849
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: 3030140857
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: 9783030140847
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: 9783030140854
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9783030140847
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| Notes
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Includes author index.
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International conference proceedings.
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| Contents
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Intro; Preface; Organization; Contents; Discrete Geometric Models and Transforms; Digital Two-Dimensional Bijective Reflection and Associated Rotation; 1 Introduction; 2 Preliminaries; 3 Digital Reflection; 3.1 Principle; 3.2 Mathematical Details; 3.3 Bijectivity of the Digital Reflection Transform; 4 Reflection Based Rotation; 4.1 Rotation Evaluation Criteria; 4.2 Evaluation Analysis; 5 Conclusion; References; Digital Curvature Evolution Model for Image Segmentation; 1 Introduction; 2 Multigrid Convergent Estimators; 2.1 Tangent and Perimeter Estimators
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2.2 Integral Invariant Curvature Estimator3 Digital Curvature Evolution Model; 3.1 Ideal Global Optimization Model; 3.2 Nonzero Curvature Identification; 3.3 Digital Curvature Flow; 3.4 Optimization Method; 4 Application in Image Segmentation; 5 Conclusion; References; Rhombic Dodecahedron Grid-Coordinate System and 3D Digital Object Definitions; 1 Introduction; 2 Preliminaries; 3 Rhombic Dodecahedron Grid; 3.1 Non-orthogonal Coordinate System; 3.2 48-Symmetry; 4 Digital Objects: Definition and Topological Analysis; 4.1 Digital Sphere; 4.2 Digital Plane; 5 Conclusion; References
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3 Preserving Pairings3.1 Pairings for Manifolds; 3.2 A Persistence-Pair Preserving Condition; 4 Stable Contraction; 4.1 Multiple Contractions; 5 Experiments; 6 Conclusion; References; One More Step Towards Well-Composedness of Cell Complexes over nD Pictures; 1 Introduction; 2 Background; 3 The Complement of an nD Digital Picture I; 4 The Simplicial Complex PS(); 5 Conclusions; References; On the Space Between Critical Points; 1 Introduction; 2 Preliminaries; 3 Slope Complexes; 4 Critical Slope Complex; 4.1 On the Number of 2-cells in a Critical Slope Complex
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6 Conclusions and DiscussionReferences; Stochastic Distance Transform; 1 Introduction; 2 Background; 2.1 Discrete Random Sets; 2.2 Distances; 3 Stochastic Distance Transform; 3.1 Monte Carlo Method; 3.2 Deterministic Method; 4 Performance Analysis; 4.1 Distance Transform Accuracy in the Presence of Noise; 4.2 Template Matching; 4.3 Watershed Segmentation; 5 Conclusion; References; Discrete Topology; Filtration Simplification for Persistent Homology via Edge Contraction; 1 Introduction; 2 Preliminaries; 2.1 Edge Contraction; 2.2 Persistence Modules and Filtrations; 2.3 Persistence Diagrams
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Facet Connectedness of Arithmetic Discrete Hyperplanes with Non-Zero Shift1 Introduction; 2 Preliminaries; 3 -Numeration System; 4 Incremental Construction of œ(V,); 5 Connectedness Criterion; 6 The Periodic Case; References; Local Turn-Boundedness: A Curvature Control for a Good Digitization; 1 Introduction; 2 Turn of a Simple Curve; 3 Locally Turn-Bounded Curves; 4 Conclusion; References; Distance Transform Based on Weight Sequences; 1 Introduction; 2 Definitions, Preliminaries; 3 Metricity Properties; 4 Distance Transform (DT); 5 Approximation of the Euclidean Distance
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| Abstract
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This book constitutes the thoroughly refereed proceedings of the 21st IAPR International Conference on Discrete Geometry for Computer Imagery, DGCI 2019, held in Marne-la-Vallée, France, in March 2019. The 38 full papers were carefully selected from 50 submissions. The papers are organized in topical sections on discrete geometric models and transforms; discrete topology; graph-based models, analysis and segmentation; mathematical morphology; shape representation, recognition and analysis; and geometric computation.
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| Subject
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Computer graphics-- Mathematics, Congresses.
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Discrete geometry, Congresses.
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Image processing-- Digital techniques, Congresses.
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Computer graphics-- Mathematics.
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Discrete geometry.
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Image processing-- Digital techniques.
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| Dewey Classification
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006.6
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| LC Classification
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TA1637.D43 2019eb
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| Added Entry
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Couprie, Michel,1956-
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Cousty, Jean
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Kenmochi, Yukiko
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Mustafa, Nabil
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| Parallel Title
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DGCI 2019
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