Description 
1 online resource (xiv, 496 pages) : illustrations (some color) 
Series 
LNCS sublibrary. SL 6, Image processing, computer vision, pattern recognition, and graphics 

Lecture notes in computer science ; 11414 

LNCS sublibrary. SL 6, Image processing, computer vision, pattern recognition, and graphics


Lecture notes in computer science ; 11414

Contents 
Intro; Preface; Organization; Contents; Discrete Geometric Models and Transforms; Digital TwoDimensional 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 

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 GridCoordinate System and 3D Digital Object Definitions; 1 Introduction; 2 Preliminaries; 3 Rhombic Dodecahedron Grid; 3.1 Nonorthogonal Coordinate System; 3.2 48Symmetry; 4 Digital Objects: Definition and Topological Analysis; 4.1 Digital Sphere; 4.2 Digital Plane; 5 Conclusion; References 

3 Preserving Pairings3.1 Pairings for Manifolds; 3.2 A PersistencePair Preserving Condition; 4 Stable Contraction; 4.1 Multiple Contractions; 5 Experiments; 6 Conclusion; References; One More Step Towards WellComposedness 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 2cells in a Critical Slope Complex 

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 

Facet Connectedness of Arithmetic Discrete Hyperplanes with NonZero Shift1 Introduction; 2 Preliminaries; 3 Numeration System; 4 Incremental Construction of œ(V,); 5 Connectedness Criterion; 6 The Periodic Case; References; Local TurnBoundedness: A Curvature Control for a Good Digitization; 1 Introduction; 2 Turn of a Simple Curve; 3 Locally TurnBounded 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 
Summary 
This book constitutes the thoroughly refereed proceedings of the 21st IAPR International Conference on Discrete Geometry for Computer Imagery, DGCI 2019, held in MarnelaVallée, 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; graphbased models, analysis and segmentation; mathematical morphology; shape representation, recognition and analysis; and geometric computation 
Notes 
Includes author index 

International conference proceedings 

Online resource; title from PDF title page (SpringerLink, viewed March 25, 2019) 
Subject 
Computer graphics  Mathematics  Congresses


Discrete geometry  Congresses


Image processing  Digital techniques  Congresses.


Computer graphics  Mathematics.


Discrete geometry.


Image processing  Digital techniques.

Genre/Form 
Conference papers and proceedings.

Form 
Electronic book

Author 
Couprie, Michel, 1956 editor.


Cousty, Jean, editor


Kenmochi, Yukiko, editor


Mustafa, Nabil, editor

ISBN 
3030140849 

3030140857 

9783030140847 

9783030140854 
