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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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A New Concept for Digital Geometry
1994A concept for geometry in a topological space with finitely many elements without the use of infinitesimals is presented. The notions of congruence, collinearity, convexity, digital lines, perimeter, area, volume, etc. are defined. The classical notion of continuous mappings is transferred (without changes) onto finite spaces.
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Efficient Spot Welding Sequence Optimization in a Geometry Assurance Digital Twin
Journal of Mechanical Design, Transactions of the ASME, 2020Roham Sadeghi Tabar +2 more
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Digital Topology and Geometry in Medical Imaging: A Survey
IEEE Transactions on Medical Imaging, 2015Punam K Saha +2 more
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