Discrete Geometry for Computer Imagery

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