Fundamentals of surface voxelization
Graphical Models and Image Processing
Discrete analytical hyperplanes
Graphical Models and Image Processing
Linear Programming in Linear Time When the Dimension Is Fixed
Journal of the ACM (JACM)
An introduction to support Vector Machines: and other kernel-based learning methods
An introduction to support Vector Machines: and other kernel-based learning methods
Object discretizations in higher dimensions
Pattern Recognition Letters
The Discrete Analytical Hyperspheres
IEEE Transactions on Visualization and Computer Graphics
The supercover of an m-flat is a discrete analytical object
Theoretical Computer Science
Minimal arithmetic thickness connecting discrete planes
Discrete Applied Mathematics
An elementary digital plane recognition algorithm
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
On the connecting thickness of arithmetical discrete planes
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Recognition of digital hyperplanes and level layers with forbidden points
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
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We introduce the notion of Digital Level Layer, namely the subsets of Zd characterized by double-inequalities h1 ??? f(x) ???? h2. The purpose of the paper is first to investigate some theoretical properties of this class of digital primitives according to topological and morphological criteria. The second task is to show that even if we consider functions f of high degree, the computations on Digital Level Layers, for instance the computation of a DLL containing an input set of points, remain linear. It makes this notion suitable for applications, for instance to provide analytical characterizations of digital shapes.