Multiseeded Segmentation Using Fuzzy Connectedness
IEEE Transactions on Pattern Analysis and Machine Intelligence
Topological adjacency relations on Z,n
Theoretical Computer Science
Multiseeded Fuzzy Segmentation on the Face Centered Cubic Grid
ICAPR '01 Proceedings of the Second International Conference on Advances in Pattern Recognition
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
An Abstract Theoretical Foundation of the Geometry of Digital Spaces
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Theoretical Computer Science - Topology in computer science
Generic axiomatized digital surface-structures
Discrete Applied Mathematics - The 2001 international workshop on combinatorial image analysis (IWCIA 2001)
On storage of topological information
Discrete Applied Mathematics - Special issue: Advances in discrete geometry and topology (DGCI 2003)
Distance transforms for three-dimensional grids with non-cubic voxels
Computer Vision and Image Understanding
Simultaneous fuzzy segmentation of multiple objects
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
Computer Vision and Image Understanding
Strongly normal sets of contractible tiles in N dimensions
Pattern Recognition
Distances based on neighbourhood sequences in non-standard three-dimensional grids
Discrete Applied Mathematics
Digital Surfaces and Boundaries in Khalimsky Spaces
Journal of Mathematical Imaging and Vision
Topological Repairing of 3D Digital Images
Journal of Mathematical Imaging and Vision
Topological triangle characterization with application to object detection from images
Image and Vision Computing
Proceedings of the 13th annual conference on Innovation and technology in computer science education
Minimal non-deletable sets and minimal non-codeletable sets in binary images
Theoretical Computer Science
Chain homotopies for object topological representations
Discrete Applied Mathematics
Journal of Mathematical Imaging and Vision
Digital Topology on Adaptive Octree Grids
Journal of Mathematical Imaging and Vision
Distance transforms for three-dimensional grids with non-cubic voxels
Computer Vision and Image Understanding
Computer Vision and Image Understanding
Simultaneous fuzzy segmentation of multiple objects
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
On storage of topological information
Discrete Applied Mathematics - Special issue: Advances in discrete geometry and topology (DGCI 2003)
Digital distance functions on three-dimensional grids
Theoretical Computer Science
Simple points and generic axiomatized digital surface-structures
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Jordan surfaces in discrete antimatroid topologies
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
How to find a khalimsky-continuous approximation of a real-valued function
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Shape preserving sampling and reconstruction of grayscale images
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Minimal non-simple and minimal non-cosimple sets in binary images on cell complexes
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Reusing integer homology information of binary digital images
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Resolution pyramids on the FCC and BCC grids
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
The euclidean distance transform applied to the FCC and BCC grids
IbPRIA'05 Proceedings of the Second Iberian conference on Pattern Recognition and Image Analysis - Volume Part I
Texture fuzzy segmentation using adaptive affinity functions
Proceedings of the 27th Annual ACM Symposium on Applied Computing
Tree representation of digital picture embeddings
Journal of Visual Communication and Image Representation
SNARK09 - A software package for reconstruction of 2D images from 1D projections
Computer Methods and Programs in Biomedicine
Computation of level lines of 4-/8-connectedness
Journal of Visual Communication and Image Representation
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From the Publisher:There are many areas of science and engineering where multi-dimensional discrete data are collected and analyzed, e.g., neuroscience, medical imaging, industrial inspection, geoscience, and fluid dynamics to name a few. In attempting to design and to prove the validity of computational procedures for visualization and analysis of the information in such data, the need for a mathematical theory of surfaces, objects, and their boundaries in discrete spaces is essential. Such a theory - the geometry of digital spaces - is the subject matter of this new book. Self-contained, accessible, and mathematically precise, this book serves as an introduction to this field, providing information that can be used immediately in the discussion of properties of practical algorithms in spaces. The approach used in "Geometry of Digital Spaces" is strongly application oriented. It presents problems of visualization and analysis of multi-dimensional data sets. The primary areas of mathematics used are graph theory and topology. Scientists and professionals from diverse backgrounds will find the discussions clear and accessible because all concepts and methods are carefully introduced, defined, and illustrated with examples.