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This book constitutes the refereed proceedings of the 15th IAPR International Conference on Discrete Geometry for Computer Imagery, DGCI 2009, held in Montréal, Canada, in September/October 2009. The 42 revised full papers were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on discrete shape, representation, recognition and analysis; discrete and combinatorial tools for image segmentation and analysis; discrete and combinatorial Topology; models for discrete geometry; geometric transforms; and discrete tomography.
This book constitutes the refereed proceedings of the 15th IAPR International Conference on Discrete Geometry for Computer Imagery, DGCI 2009, held in Montréal, Canada, in September/October 2009. The 42 revised full papers were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on discrete shape, representation, recognition and analysis; discrete and combinatorial tools for image segmentation and analysis; discrete and combinatorial Topology; models for discrete geometry; geometric transforms; and discrete tomography.
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Inhaltsangabe
Invited Papers.- Arithmetic Discrete Planes Are Quasicrystals.- Affine Connections, and Midpoint Formation.- Mathematics in Atmospheric Sciences: An Overview.- Discrete Shape Representation, Recognition and Analysis.- On Three Constrained Versions of the Digital Circular Arc Recognition Problem.- Efficient Lattice Width Computation in Arbitrary Dimension.- Convergence of Binomial-Based Derivative Estimation for C 2 Noisy Discretized Curves.- Christoffel and Fibonacci Tiles.- Optimal Partial Tiling of Manhattan Polyominoes.- An Improved Coordinate System for Point Correspondences of 2D Articulated Shapes.- Two Linear-Time Algorithms for Computing the Minimum Length Polygon of a Digital Contour.- Multiscale Discrete Geometry.- Discrete and Combinatorial Tools for Image Segmentation and Analysis.- Vanishing Point Detection with an Intersection Point Neighborhood.- Ellipse Detection with Elemental Subsets.- Multi-Label Simple Points Definition for 3D Images Digital Deformable Model.- Marching Triangle Polygonization for Efficient Surface Reconstruction from Its Distance Transform.- Multivariate Watershed Segmentation of Compositional Data.- Pixel Approximation Errors in Common Watershed Algorithms.- Digital Deformable Model Simulating Active Contours.- Discrete and Combinatorial Topology.- Topology-Preserving Thinning in 2-D Pseudomanifolds.- Discrete Versions of Stokes' Theorem Based on Families of Weights on Hypercubes.- Distances on Lozenge Tilings.- Jordan Curve Theorems with Respect to Certain Pretopologies on .- Decomposing Cavities in Digital Volumes into Products of Cycles.- Thinning Algorithms as Multivalued -Retractions.- Characterization of Simple Closed Surfaces in ?3: A New Proposition with a Graph-Theoretical Approach.- Border Operator for Generalized Maps.- Computing Homology: A Global Reduction Approach.- Models for Discrete Geometry.- Surface Sketching with a Voxel-Based Skeleton.- Minimal Offsets That Guarantee Maximal or Minimal Connectivity of Digital Curves in nD.- Arithmetization of a Circular Arc.- On the Connecting Thickness of Arithmetical Discrete Planes.- Patterns in Discretized Parabolas and Length Estimation.- Universal Spaces for Surfaces.- A Linear Time and Space Algorithm for Detecting Path Intersection.- Geometric Transforms.- The Curvilinear Skeleton.- A Discrete ?-Medial Axis.- Appearance Radii in Medial Axis Test Mask for Small Planar Chamfer Norms.- Exact, Scaled Image Rotation Using the Finite Radon Transform.- Lower and Upper Bounds for Scaling Factors Used for Integer Approximation of 3D Anisotropic Chamfer Distance Operator.- A Novel Algorithm for Distance Transformation on Irregular Isothetic Grids.- Fully Parallel 3D Thinning Algorithms Based on Sufficient Conditions for Topology Preservation.- Quasi-Affine Transformation in Higher Dimension.- Discrete Tomography.- Solving Some Instances of the 2-Color Problem.- Grey Level Estimation for Discrete Tomography.- The 1-Color Problem and the Brylawski Model.
Invited Papers.- Arithmetic Discrete Planes Are Quasicrystals.- Affine Connections, and Midpoint Formation.- Mathematics in Atmospheric Sciences: An Overview.- Discrete Shape Representation, Recognition and Analysis.- On Three Constrained Versions of the Digital Circular Arc Recognition Problem.- Efficient Lattice Width Computation in Arbitrary Dimension.- Convergence of Binomial-Based Derivative Estimation for C 2 Noisy Discretized Curves.- Christoffel and Fibonacci Tiles.- Optimal Partial Tiling of Manhattan Polyominoes.- An Improved Coordinate System for Point Correspondences of 2D Articulated Shapes.- Two Linear-Time Algorithms for Computing the Minimum Length Polygon of a Digital Contour.- Multiscale Discrete Geometry.- Discrete and Combinatorial Tools for Image Segmentation and Analysis.- Vanishing Point Detection with an Intersection Point Neighborhood.- Ellipse Detection with Elemental Subsets.- Multi-Label Simple Points Definition for 3D Images Digital Deformable Model.- Marching Triangle Polygonization for Efficient Surface Reconstruction from Its Distance Transform.- Multivariate Watershed Segmentation of Compositional Data.- Pixel Approximation Errors in Common Watershed Algorithms.- Digital Deformable Model Simulating Active Contours.- Discrete and Combinatorial Topology.- Topology-Preserving Thinning in 2-D Pseudomanifolds.- Discrete Versions of Stokes' Theorem Based on Families of Weights on Hypercubes.- Distances on Lozenge Tilings.- Jordan Curve Theorems with Respect to Certain Pretopologies on .- Decomposing Cavities in Digital Volumes into Products of Cycles.- Thinning Algorithms as Multivalued -Retractions.- Characterization of Simple Closed Surfaces in ?3: A New Proposition with a Graph-Theoretical Approach.- Border Operator for Generalized Maps.- Computing Homology: A Global Reduction Approach.- Models for Discrete Geometry.- Surface Sketching with a Voxel-Based Skeleton.- Minimal Offsets That Guarantee Maximal or Minimal Connectivity of Digital Curves in nD.- Arithmetization of a Circular Arc.- On the Connecting Thickness of Arithmetical Discrete Planes.- Patterns in Discretized Parabolas and Length Estimation.- Universal Spaces for Surfaces.- A Linear Time and Space Algorithm for Detecting Path Intersection.- Geometric Transforms.- The Curvilinear Skeleton.- A Discrete ?-Medial Axis.- Appearance Radii in Medial Axis Test Mask for Small Planar Chamfer Norms.- Exact, Scaled Image Rotation Using the Finite Radon Transform.- Lower and Upper Bounds for Scaling Factors Used for Integer Approximation of 3D Anisotropic Chamfer Distance Operator.- A Novel Algorithm for Distance Transformation on Irregular Isothetic Grids.- Fully Parallel 3D Thinning Algorithms Based on Sufficient Conditions for Topology Preservation.- Quasi-Affine Transformation in Higher Dimension.- Discrete Tomography.- Solving Some Instances of the 2-Color Problem.- Grey Level Estimation for Discrete Tomography.- The 1-Color Problem and the Brylawski Model.
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