Fast exact digital differential analyzer for circle generation

Jan L. Cieśliński, Leonid V. Moroz and Cezary J. Walczyk

Applied Mathematics and Computation, 2015, vol. 271, issue C, 68-79

Abstract: In the first part of the paper we present a short review of applications of digital differential analyzers (DDA) to generation of circles showing that they can be treated as one-step numerical schemes. In the second part we present and discuss a novel fast algorithm based on a two-step numerical scheme (explicit midpoint rule). Although our algorithm is as cheap as the simplest one-step DDA algorithm (and can be represented in terms of shifts and additions), it generates circles with maximal accuracy, i.e., it is exact up to round-off errors.

Keywords: Circle generation; Digital differential analyzers; Exact discretization; Explicit midpoint rule (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:68-79

DOI: 10.1016/j.amc.2015.08.104

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