On density extrema for digital discs

DOI10.1007/978-3-031-23612-9_4zbMath1528.68383OpenAlexW4313445173MaRDI QIDQ6166830

Partha Bhowmick, Nilanjana G. Basu, Subhashis Majumder

Publication date: 3 August 2023

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-23612-9_4

zbMATH Keywords

number theorydigital geometrygeometry of numbersdigital discpixel density

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Lattice points in specified regions (11P21)

Cites Work

• On the number of digital discs
• Number-theoretic interpretation and construction of a digital circle
• On the density and discrepancy of a 2D point set with applications to thermal analysis of VLSI chips
• An exact construction of digital convex polygons with minimal diameter
• Weighted distances and digital disks on the Khalimsky grid. Disks with holes and islands
• Analytical Description of Digital Circles
• An algorithm to find the number of the digitizations of discs with a fixed radius
• Real Polygonal Covers of Digital Discs – Some Theories and Experiments
• On Finding the Maximum and Minimum Density Axes-parallel Regions in IRd
• Exact Reconstruction of Euclidean Distance Geometry Problem Using Low-Rank Matrix Completion
• Calculation of Discrepancy Measures and Applications
• Euclidean Distance Geometry and Applications
• Number of Words Characterizing Digital Balls on the Triangular Tiling
• A chronological and mathematical overview of digital circle generation algorithms – introducing efficient 4- and 8-connected circles
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