Connectivity in Digital Pictures
Journal of the ACM (JACM)
Arcs and Curves in Digital Pictures
Journal of the ACM (JACM)
Foundations of Image Understanding
Foundations of Image Understanding
The Discrete Analytical Hyperspheres
IEEE Transactions on Visualization and Computer Graphics
3D Line Voxelization and Connectivity Control
IEEE Computer Graphics and Applications
Discrete linear objects in dimension n: the standard model
Graphical Models - Special issue: Discrete topology and geometry for image and object representation
Digital Geometry: Geometric Methods for Digital Picture Analysis
Digital Geometry: Geometric Methods for Digital Picture Analysis
Voronoi diagrams of semi-algebraic sets
Voronoi diagrams of semi-algebraic sets
Offset Approach to Defining 3D Digital Lines
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Minimal offsets that guarantee maximal or minimal connectivity of digital curves in nD
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Three-Dimensional Digital Line Segments
IEEE Transactions on Pattern Analysis and Machine Intelligence
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
The offset to an algebraic curve and an application to conics
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and its Applications - Volume Part I
Characterization of the closest discrete approximation of a line in the 3-dimensional space
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
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In this paper we investigate properties of a digital object obtained by taking the integer points within an offset of a certain radius of the object. Our considerations apply to digitizations of arbitrary path-connected sets in an arbitrary dimension n. Corollaries are derived for the important special case of surfaces, as well as for offsets of disconnected sets.