the proceeding contains 47 papers. the topics discussed include: digital geometry processing with topological guarantees;weak rational computing for digital geometry;a first look into a formal and constructive approac...
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ISBN:
(纸本)3540791256
the proceeding contains 47 papers. the topics discussed include: digital geometry processing with topological guarantees;weak rational computing for digital geometry;a first look into a formal and constructive approach for discretegeometry 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 complex structure on surfel surfaces;euclidean eccentricity transform by discrete arc paving;statistical template matching under geometric transformations;and distance transformation on two-dimensional irregular isothetic grids.
the proceedings contain 38 papers from the discretegeometry for computerimagery - 12thinternationalconference, DGCI 2005. the topics discussed include: optimal design of 2D/3D hierarchical content-based meshes for...
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the proceedings contain 38 papers from the discretegeometry for computerimagery - 12thinternationalconference, DGCI 2005. the topics discussed include: optimal design of 2D/3D hierarchical content-based meshes for multimedia;on the stability of reconstructing lattice sets from x-rays along two directions;hierarchical watersheds within the combinatorial pyramid framework;resolution pyramids on the FCC and BCC grids;reconstruction for decomposable discrete sets from four projections;computation of homology groups and generators;discrete bisector function and Euclidean skeleton;and local point configurations of discrete combinatorial surfaces.
the proceedings contain 57 papers. the topics discussed include: duality and geometry straightness, characterization and envelope;on minimal perimeter polyminoes;a generic approach for n-dimensional digital lines;two ...
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ISBN:
(纸本)3540476512
the proceedings contain 57 papers. the topics discussed include: duality and geometry straightness, characterization and envelope;on minimal perimeter polyminoes;a generic approach for n-dimensional digital lines;two discrete-Euclidean operations based on the scaling transform;geometry of neighborhood sequences in hexagonal grid;recognition of blurred pieces of discrete planes;the number of line-convex directed polyominoes having the same orthogonal projections;a network flow algorithm for binary image reconstruction from few projections;fast filling operations used in the reconstruction of convex lattice sets;reconstruction algorithm and switching graph for two-projection tomography with prohibited subregion;a geometry driven reconstruction algorithm for the Mojette Transform;quantised angular momentum vectors and projection angle distributions for discrete radon transformations;and a benchmark evaluation of large-scale optimization approaches to binary tomography.
the proceedings contain 31 papers. the special focus in this conference is on discretegeometry for computerimagery. the topics include: Freeform architecture and discrete differential geometry;concepts, algorithms, ...
ISBN:
(纸本)9783319662718
the proceedings contain 31 papers. the special focus in this conference is on discretegeometry for computerimagery. the topics include: Freeform architecture and discrete differential geometry;concepts, algorithms, and applications;collaborating with an artist in digital geometry;rigid motions on the hexagonal grid;a summary of recent advances;convexity-preserving rigid motions of 2D digital objects;weighted distances on the trihexagonal grid;an integer programming approach to characterize digital disks on the triangular grid;high-level algorithm prototyping: an example extending the TVR-DART algorithm;a parametric level-set method for partially discrete tomography;maximal n-ghosts and minimal information recovery from n projected views of an array;ambiguity results in the characterization of hv-convex polyominoes from projections;mojette transform on densest lattices in 2D and 3D;fuzzy directional enlacement landscapes;an introduction to gamma-convergence for spectral clustering;digital surface regularization by normal vector field alignment;opening holes in discrete objects with digital homotopy;heat kernel laplace-beltrami operator on digital surfaces;efficiently updating feasible regions for fitting discrete polynomial curve;a new shape descriptor based on a q-convexity measure;recognition of digital polyhedra with a fixed number of faces is decidable in dimension 3;reconstructions of noisy digital contours with maximal primitives based on multi-scale/irregular geometric representation and generalized linear programming;euclidean and geodesic distance profiles;euclidean and geodesic distance profiles and fast and efficient incremental algorithms for circular and spherical propagation in integer space.
the proceedings contain 34 papers. the special focus in this conference is on discretegeometry for computerimagery. the topics include: Facet connectedness of discrete hyperplanes with zero intercept;about the maxim...
ISBN:
(纸本)9783319099545
the proceedings contain 34 papers. the special focus in this conference is on discretegeometry for computerimagery. the topics include: Facet connectedness of discrete hyperplanes with zero intercept;about the maximum cardinality of the digital cover of a curve with a given length;binary pictures with excluded patterns;isthmus-based parallel and asymmetric 3D thinning algorithms;completions and simple homotopy;2D subquadratic separable distance transformation for path-based norms;anti-aliased euclidean distance transform on 3D sampling lattices;efficient neighbourhood computing for discrete rigid transformation graph search;the minimum barrier distance - stability to seed point position;efficient computation of the outer hull of a discrete path;voronoi-based geometry estimator for 3D digital surfaces;an arithmetical characterization of the convex hull of digital straight segments;parameter-free and multigrid convergent digital curvature estimators;freeman digitization and tangent word based estimators;determination of length and width of a line-segment by using a hough transform;stable shape comparison of surfaces via reeb graphs;about multigrid convergence of some length estimators;back-projection filtration inversion of discrete projections;discrete tomography reconstruction algorithms for images with a blocking component;an entropic perturbation approach to TV-minimization for limited-data tomography;fourier inversion of the mojette transform;adaptive grid refinement for discrete tomography;implicit digital surfaces in arbitrary dimensions;algorithms for fast digital straight segments union;digital geometry from a geometric algebra perspective and taylor optimal kernel for derivative etimation.
the proceedings contain 52 papers. the special focus in this conference is on discretegeometry for computerimagery. the topics include: Fuzzy spatial relationships from mathematical morphology for model-based patter...
ISBN:
(纸本)3540204997
the proceedings contain 52 papers. the special focus in this conference is on discretegeometry for computerimagery. the topics include: Fuzzy spatial relationships from mathematical morphology for model-based pattern recognition and spatial reasoning;on the morphological processing of objects with varying local contrast;watershed algorithms and contrast preservation;shape preserving digitization of ideal and blurred binary images;on local definitions of length of digital curves;homotopic transformations of combinatorial maps;convex structuring element decomposition for single scan binary mathematical morphology;binary shape normalization using the radon transform;3D shape matching through topological structures;contour-based shape representation for image compression and analysis;look-up tables for medial axis on squared Euclidean distance transform;towards an invertible Euclidean reconstruction of a discrete object;reconstruction of discrete surfaces from shading images by propagation of geometric features;shape representation and indexing based on region connection calculus and oriented matroid theory;incremental algorithms based on discrete green theorem;topology preservation and tricky patterns in gray-tone images;shortest route on height map using gray-level distance transforms;on the use of shape primitives for reversible surface skeletonization;efficient computation of 3D skeletons by extreme vertex encoding;perimeter and area estimations of digitized objects with fuzzy borders;removal and contraction for n-dimensional generalized maps and a computation of a crystalline flow starting from non-admissible polygon using expanding self similar solutions.
the proceedings contain 36 papers. the topics discussed include: optimal covering of a straight line applied to discrete convexity;on dimension partitions in discrete metric spaces;walking in the farey fan to compute ...
ISBN:
(纸本)9783642370663
the proceedings contain 36 papers. the topics discussed include: optimal covering of a straight line applied to discrete convexity;on dimension partitions in discrete metric spaces;walking in the farey fan to compute the characteristics of a discrete straight line subsegment;persistent patterns in integer discrete circles;generalized simple surface points;a parallel thinning algorithm for grayscale images;new structures based on completions;asymptotic analysis and random sampling of digitally convex polyominoes;critical connectedness of thin arithmetical discrete planes;a 3D curvilinear skeletonization algorithm with application to path tracing;from the zones of influence of skeleton branch points to meaningful object parts;and sufficient conditions for topological invariance of 2D images under rigid transformations.
the proceedings contain 45 papers. the topics discussed include: arithmetic discrete planes are quasicrystals;affine connections, and midpoint formation;mathematics in atmospheric sciences: an overview;on three constr...
ISBN:
(纸本)3642043968
the proceedings contain 45 papers. the topics discussed include: arithmetic discrete planes are quasicrystals;affine connections, and midpoint formation;mathematics in atmospheric sciences: an overview;on three constrained versions of the digital circular arc recognition problem;efficient lattice width computation in arbitrary dimension;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 discretegeometry;vanishing point detection with an intersection point neighborhood;ellipse detection with elemental subsets;multi-label simple points definition for 3D images digital deformable model;and marching triangle polygonization for efficient surface reconstruction from its distance transform.
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