On a Recursive Construction of Circular Paths and the Search for $$\pi $$ π on the Integer Lattice $$\mathbb {Z}^2$$ Z 2-Reference-Cited by-同舟云学术

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On a Recursive Construction of Circular Paths and the Search for $$\pi $$ π on the Integer Lattice $$\mathbb {Z}^2$$ Z 2

Published:2017-09-15 Issue:3 Volume:59 Page:643-662
ISSN:0179-5376
Container-title:Discrete & Computational Geometry
language:en
Short-container-title:Discrete Comput Geom

Author:

Rudolph-Lilith Michelle

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Link

http://link.springer.com/article/10.1007/s00454-017-9930-7/fulltext.html

Reference29 articles.

1. Andres, E.: Discrete circles, rings and spheres. Comput. Graph. 18(5), 695–706 (1994)

2. Undergraduate Texts in Mathematics;TM Apostol,1995

3. Barrera, T., Hast, A., Bengtsson, E.: A chronological and mathematical overview of digital circle generation algorithms–introducing efficient 4- and 8-connected circles. Int. J. Comput. Math. 93(8), 1241–1253 (2016)

4. Bhowmick, P., Bhattacharya, B.B.: Approximation of digital circles by regular polygons. In: Pattern Recognition and Data Mining (ICAPR’05). Lecture Notes in Computer Science, vol. 3686, pp. 257–267. Springer, Berlin (2005)

5. Bhowmick, P., Bhattacharya, B.B.: Number-theoretic interpretation and construction of a digital circle. Discrete Appl. Math. 156(12), 2381–2399 (2008)

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