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Characterization of digital circles in triangular grid
Pattern Recognition Letters, 2004In this paper we present some former results about properties of digital circles defined by neighbourhood sequences in the triangular grid. Das and Chatterji [Inform. Sci. 50 (1990) 123] analyzed the geometric behaviour of two-dimensional periodic neighbourhood sequences.
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Digital Disks by Weighted Distances in the Triangular Grid
2016Weighted or with other name, chamfer distances on the triangular grid was introduced recently based on the three possible neighborhood. In this paper, digital disks are defined and analyzed based on these weighted distances: geometric and combinatorial properties are studied. Approximation of the Euclidean circles and distances are shown.
Nagy, Benedek +1 more
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A Khalimsky-Like Topology on the Triangular Grid
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 the digital version of the Jordan curve theorem needs some special care. In a nutshell, the paradox can be interpreted by lines, e.g., two different color diagonals of aopenaire +2 more sources
Binary Tomography on Triangular Grid Involving Hexagonal Grid Approach
2018In this paper, we consider the binary tomography reconstruction problem of images on the triangular grid. The reconstruction process is based on three natural directions of projections, defined by the lane directions of the triangular grid (they are analogous to row and column directions on the square grid).
Nagy, Benedek, Lukic, Tibor
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Interpolation on Unstructured Triangular Grids
2018The chapter develops the analytical formulae for high-order interpolation on the unstructured triangular grids, such as the polynomial interpolation, piecewise linear interpolation, and hybrid interpolation. The interpolation might be used during the creation of new unstructured triangular or regular gird instead of previous ones as an element of ...
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Largest Area Parallelogram Inside a Digital Object in a Triangular Grid
Lecture Notes in Computer Science, 2023Arindam Biswas +2 more
exaly
Generalized triangular grids in digital geometry
2004Summary: The hexagonal and the triangular grids are duals of each other. These two grids are the first and second ones in the family of triangular grids (we can call them one- and two-plane triangular grids). This family comes from mapping their points to \(Z^3\). Their symmetric properties are triangular.
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