Discrete Geometry for Computer Imagery

The14theditionoftheInternationalConferenceonDiscreteGeometryforC- puterImagerywasheldinLyon,France,April16 18,2008.DGCI2008attracted many researchers from all around the world. Indeed, 76 papers were submitted, from 24 di?erent countries (13 European and 11 non European), con?rming the international status of the conference. Once reviewed, 45 papers were accepted for publication in the present LNCS volume. In all, 23 papers were scheduled for oral presentation in single-track sessions, and 22 papers were presented as posters, with preliminary plenary sessions with very short presentations of these posters. Three invited speakers gave lectures on topics ranging from connected ?elds to the theoreticalfoundations of discrete geometry:Dinesh Manocha (U- versityofNorthCarolinaatChapelHill,USA),UllrichKo the(UniversityofH- delberg, Germany) and Jean-Pierre Reveilles (University of Auvergne, France). Building on the experience of the previous editions, this edition was the - casion to remodel the paper selection process in order to improve the overall quality of the conference. These changes were based on an update and red- nition of the topics covered by the conference, in such a way that most of the present-day works in discrete geometry naturally ?t in one topic. The members ofthe ProgramCommittee werethen chosenfor their expertisein these di?erent topics.Theysupervisedthereviewingprocessofthepapersrelatedtotheirtopic.

This book constitutes the refereed proceedings of the 14th IAPR TC-18 International Conference on Discrete Geometry for Computer Imagery, DGCI 2008, held in Lyon, France, in April 2008.

Invited Papers.- Digital Geometry Processing with Topological Guarantees.- What Can We Learn from Discrete Images about the Continuous World?.- Weak Rational Computing for Digital Geometry.- Models for Distance Geometry.- A First Look into a Formal and Constructive Approach for Discrete Geometry Using Nonstandard Analysis.- Generation and Recognition of Digital Planes Using Multi-dimensional Continued Fractions.- About the Frequencies of Some Patterns in Digital Planes Application to Area Estimators.- Combinatorial View of Digital Convexity.- Decomposition and Construction of Neighbourhood Operations Using Linear Algebra.- Digitally Continuous Multivalued Functions.- Continued Fractions and Digital Lines with Irrational Slopes.- Discrete and Combinational Topology.- New Characterizations of Simple Points, Minimal Non-simple Sets and P-Simple Points in 2D, 3D and 4D Discrete Spaces.- Cancellation of Critical Points in 2D and 3D Morse and Morse-Smale Complexes.- Characterizing and Detecting Toric Loops in n-Dimensional Discrete Toric Spaces.- Insertion and Expansion Operations for n-Dimensional Generalized Maps.- Discrete Complex Structure on Surfel Surfaces.- Minimal Simple Pairs in the Cubic Grid.- Determining Whether a Simplicial 3-Complex Collapses to a 1-Complex Is NP-Complete.- Geometric Transforms.- Medial Axis LUT Computation for Chamfer Norms Using -Polytopes.- Weighted Neighbourhood Sequences in Non-Standard Three-Dimensional Grids - Metricity and Algorithms.- Euclidean Eccentricity Transform by Discrete Arc Paving.- Statistical Template Matching under Geometric Transformations.- Distance Transformation on Two-Dimensional Irregular Isothetic Grids.- Self-similar Discrete Rotation Configurations and Interlaced Sturmian Words.- Segmenting Simplified Surface Skeletons.- Discrete Shape Representation, Recognition and Analysis.- Geometric Feature Estimators for Noisy Discrete Surfaces.- Normals and Curvature Estimation for Digital Surfaces Based on Convolutions.- On Minimal Moment of Inertia Polyominoes.- Gift-Wrapping Based Preimage Computation Algorithm.- Digital Planar Surface Segmentation Using Local Geometric Patterns.- Robust Estimation of Curvature along Digital Contours with Global Optimization.- An Efficient and Quasi Linear Worst-Case Time Algorithm for Digital Plane Recognition.- Tangential Cover for Thick Digital Curves.- Binomial Convolutions and Derivatives Estimation from Noisy Discretizations.- Discrete Tomography.- Selection of Local Thresholds for Tomogram Segmentation by Projection Distance Minimization.- Reconstructing Binary Matrices with Neighborhood Constraints: An NP-hard Problem.- An Exact, Non-iterative Mojette Inversion Technique Utilising Ghosts.- Approximating hv-Convex Binary Matrices and Images from Discrete Projections.- Morphological Analysis.- Advances in Constrained Connectivity.- On Watershed Cuts and Thinnings.- A New Fuzzy Connectivity Class Application to Structural Recognition in Images.- DirectionalStructures Detection Based on Morphological Line-Segment and Orientation Functions.- Discrete Modelling and Visualization.- Predicting Corresponding Region in a Third View Using Discrete Epipolar Lines.- A Discrete Modelling of Soil Fragments Transport by Runoff.- Discrete and Combinational Tools for Image Segmentation and Analysis.- Optimal Difference Operator Selection.- First Results for 3D Image Segmentation with Topological Map.- Adaptive Morphological Filtering Using Similarities Based on Geodesic Time.- Book Scanner Dewarping with Weak 3d Measurements and a Simplified Surface Model.- 3D Image Topological Structuring with an Oriented Boundary Graph for Split and Merge Segmentation.