Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626139 | Applied Mathematics and Computation | 2015 | 12 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jan L. Cieśliński, Leonid V. Moroz, Cezary J. Walczyk,