On the Number of Digital Discs

  • Authors:
  • Joviša žunić

  • Affiliations:
  • Department of Computer Science, Exeter University, North Park Road, Harrison Building, Exeter EX4 4QF, UK. j.zunic@ex.ac.uk

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 2004

Quantified Score

Hi-index 0.00

Visualization

Abstract

A digital disc is defined as the set of all integer points inside of a given real disc. In this paper we show that there are no more thann2 + {\cal O}(n^{\frac{265}{146}}\cdot (\log n)^{\frac{315}{146}})different (up to translations) digital discs consisting of n points.