A graph-based mathematical morphology reader
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A tutorial on well-composedness
Due to digitization, usual discrete signals generally present topological paradoxes, such as
the connectivity paradoxes of Rosenfeld. To get rid of those paradoxes, and to restore some …
the connectivity paradoxes of Rosenfeld. To get rid of those paradoxes, and to restore some …
Digital distance functions on three-dimensional grids
In this paper, we examine five different three-dimensional grids suited for image processing.
Digital distance functions are defined on the cubic, face-centered cubic, body-centered …
Digital distance functions are defined on the cubic, face-centered cubic, body-centered …
On Chamfer Distances on the Square and Body‐Centered Cubic Grids: An Operational Research Approach
G Kovács, B Nagy, G Stomfai… - Mathematical …, 2021 - Wiley Online Library
Linear programming is used to solve optimization problems. Thus, finding a shortest path in
a grid is a good target to apply linear programming. In this paper, specific bipartite grids, the …
a grid is a good target to apply linear programming. In this paper, specific bipartite grids, the …
Topology preserving marching cubes-like algorithms on the face-centered cubic grid
The well-known marching cubes algorithm is modified to apply to the face-centered cubic
(fee) grid. Thus, the local configurations that are considered when extracting the local …
(fee) grid. Thus, the local configurations that are considered when extracting the local …
Repairing 3D binary images using the FCC grid
L Čomić, P Magillo - Journal of Mathematical Imaging and Vision, 2019 - Springer
Abstract A 3D image I is well-composed if it does not contain critical edges or vertices
(where the boundary of I is non-manifold). The process of transforming an image into a well …
(where the boundary of I is non-manifold). The process of transforming an image into a well …
Distance Functions and Image Processing on Point-Lattices: with focus on the 3D face-and body-centered cubic grids
R Strand - 2008 - diva-portal.org
ACTA UNIVERSITATIS UPSALIENSIS Uppsala Dissertations from the Faculty of Science and
Technology 79 Page 1 ACTA UNIVERSITATIS UPSALIENSIS Uppsala Dissertations from the …
Technology 79 Page 1 ACTA UNIVERSITATIS UPSALIENSIS Uppsala Dissertations from the …
[LIVRE][B] Digital geometry in image processing
J Mukhopadhyay, PP Das, S Chattopadhyay… - 2013 - books.google.com
Exploring theories and applications developed during the last 30 years, Digital Geometry in
Image Processing presents a mathematical treatment of the properties of digital metric …
Image Processing presents a mathematical treatment of the properties of digital metric …
Discrete analytical objects in the body-centered cubic grid
We propose a characterization of discrete analytical spheres, planes and lines in the body-
centered cubic (BCC) grid, both in the Cartesian and in the recently proposed alternative …
centered cubic (BCC) grid, both in the Cartesian and in the recently proposed alternative …
Efficient parallel thinning of 3d objects on the body-centered cubic lattice
D Brunner, G Brunnett, T Kronfeld, R Strand - Computer-Aided Design, 2022 - Elsevier
We consider thinning methods to extract one dimensional skeletons from discrete objects
defined on the body-centered cubic (bcc) lattice. In Strand (2004), a condition has been …
defined on the body-centered cubic (bcc) lattice. In Strand (2004), a condition has been …