Non-traditional 2D Grids in Combinatorial Imaging–Advances and Challenges
B Nagy - International Workshop on Combinatorial Image …, 2022 - Springer
On the one hand, the digital image processing and many other digital applications are
mostly based on the square grid. On the other hand, there are two other regular grids, the …
mostly based on the square grid. On the other hand, there are two other regular grids, the …
A khalimsky-like topology on the triangular grid
B Nagy - International Conference on Discrete Geometry and …, 2024 - Springer
It is well known that there are topological paradoxes in digital geometry and in digital image
processing. The most studied such paradoxes are on the square grid, causing the fact that …
processing. The most studied such paradoxes are on the square grid, causing the fact that …
Weighted distances on the truncated hexagonal grid
Recently chamfer distances have been developed not only on the usual integer grids, but
also on some non traditional grids including grids which are not lattices. In this paper the …
also on some non traditional grids including grids which are not lattices. In this paper the …
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 …
A digital geometry on the tetrakis square tiling—Distance and coarsening
B Nagy - Transactions in GIS, 2023 - Wiley Online Library
There are various tessellations of the plane, including three regular and eight semi‐regular
tilings. The square grid is self‐dual, and the hexagonal and triangular tilings are dual to …
tilings. The square grid is self‐dual, and the hexagonal and triangular tilings are dual to …
Chamfer distances on the isometric grid: a structural description of minimal distances based on linear programming approach
Chamfer distances on the isometric grid are considered. A new method to compute the
chamfer distances based on linear optimization is presented. In the LP model the starting …
chamfer distances based on linear optimization is presented. In the LP model the starting …
[PDF][PDF] Diagrams based on the hexagonal and triangular grids
B Nagy - Acta Polytechnica Hungarica, 2022 - acta.uni-obuda.hu
In this study we show that sometimes it is worth to consider a non-traditional regular grid in
diagrams and proofs by diagrams instead of the traditional rectangular arrangement. We …
diagrams and proofs by diagrams instead of the traditional rectangular arrangement. We …
Discrete optimization: the case of generalized BCC lattice
Recently, operations research, especially linear integer-programming, is used in various
grids to find optimal paths and, based on that, digital distance. The 4 and higher …
grids to find optimal paths and, based on that, digital distance. The 4 and higher …
Distances in the face-centered cubic crystalline structure applying operational research
The fcc (face-centered cubic) grid is the structure of many crystals and minerals. It consists of
four cubic lattices. It is supposed that there are two types of steps between two grid points. It …
four cubic lattices. It is supposed that there are two types of steps between two grid points. It …
Weighted distances on the trihexagonal grid
Recently chamfer distances have been developed not only on the usual integer grids, but
also on some non traditional grids including grids which are not lattices. In this paper the …
also on some non traditional grids including grids which are not lattices. In this paper the …