Combinatorial image analysis : 20th International Workshop, IWCIA 2020, Novi Sad, Serbia, July 16-18, 2020, Proceedings /: 20th International Workshop, IWCIA 2020, Novi Sad, Serbia, July 16-18, 2020, Proceedings. (2020)

• Record Type: Book
• Other Titles: IWCIA 2020
• Further Information: Note: Tibor Lukić, Reneta P. Barneva, Valentin E. Brimkov, Lidija Čomić, Nataša Sladoje (eds.).
• Other Names: Lukić, Tibor; Barneva, Reneta P; Brimkov, Valentin E; Čomić, Lidija; Sladoje, Nataša; International Workshop on Combinatorial Image Analysis, 20th
• Contents: Intro -- Preface -- Organization -- Contents -- I Theoretical Foundations -- Euler Well-Composedness -- 1 Introduction -- 2 Background on Regular Cell Complexes -- 3 Background on nD Pictures -- 4 Introducing the Concept of Euler Well-Composedness -- 5 Conclusions and Future Works -- References -- On Connectedness of Discretized Sets -- 1 Introduction -- 2 Preliminaries -- 3 Main Result -- 4 Concluding Remarks -- References -- Persistent Homology as Stopping-Criterion for Voronoi Interpolation -- 1 Introduction -- 2 Simplicial Complexes and Filtrations -- 2.1 Čech Complex 2.2 Vietoris-Rips Complex -- 2.3 Delaunay Complex -- 2.4 Witness Complex -- 3 Persistent Homology Theory -- 4 Bottleneck Distance -- 4.1 Bottleneck Stability -- 5 Wasserstein Distance -- 5.1 Wasserstein Stability -- 6 The Natural Neighbor Algorithm -- 6.1 Voronoi Tessellation -- 7 The Simplicial Collapse -- 8 Numerical Experiments -- 8.1 Experimental Setting -- 8.2 Evaluation -- 9 Conclusions -- References -- Atomic Super-Resolution Tomography -- 1 Introduction -- 2 Problem Setting -- 2.1 Potential Energy of the Atomic Configuration -- 3 Algorithms -- 3.1 Projected Gradient Descent 3.2 Proximal Gradient Descent -- 3.3 Simulated Annealing -- 3.4 ADCG with Energy -- 4 Numerical Experiments -- 4.1 Ground Truth Configurations -- 4.2 Discretized Projection Data -- 4.3 Discretisation of Reconstruction Volume -- 4.4 Comparison Between Reconstructions -- 4.5 Effect of Adding Energy to Optimisation -- 5 Discussion -- 6 Conclusions -- References -- Characterizations of Simple Points on the Body-Centered Cubic Grid -- 1 Introduction -- 2 Basic Notions -- 3 Characterizations of Simple Points -- 4 Conclusion and Future Work -- References A 4D Counter-Example Showing that DWCness Does Not Imply CWCness in nD -- 1 Introduction -- 2 Discrete Topology -- 2.1 Digital Well-Composedness -- 2.2 Basics in Topology and Continuous Well-Composedness -- 2.3 Homomorphisms -- 2.4 Cubical Sets -- 2.5 Homology -- 2.6 Relative Homology -- 2.7 Exact Sequences -- 2.8 Manifolds and Local Homology -- 2.9 Homotopical Equivalence -- 3 DWCness Does Not Imply CWCness -- 3.1 Choosing a Particular DWC Set XZ 4 -- 3.2 Finding a Cubical Set X""0365X(x0) Homotopy Equivalent to X{x0} -- 3.3 Defining the Cubical Set d(X) 3.4 Choosing a Particular Point x0 in the Boundary X of 4(X) -- 3.5 Computation of H (X, X {x0}) -- 3.6 Our Final Observation -- 4 Conclusion -- References -- 3D-Array Token Petri Nets Generating Tetrahedral Picture Languages -- 1 Introduction -- 2 Preliminaries -- 3 3D-Array Token Petri Nets -- 4 Comparative Results -- 5 Conclusion -- References -- Simulating Parallel Internal Column Contextual Array Grammars Using Two-Dimensional Parallel Restarting Automata with Multiple Windows -- 1 Introduction -- 2 Preliminaries -- 2.1 Example
• Publisher Details: Cham : Springer
• Publication Date: 2020
• Extent: 1 online resource
• Subjects: 006.6; Image analysis -- Congresses; Combinatorial analysis -- Congresses; Image processing -- Digital techniques -- Congresses; Electronic books; Electronic books
• Languages: English
• ISBNs: 9783030510022; 3030510026
• Related ISBNs: 3030510018; 9783030510015
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.