The Community for Technology Leaders
Green Image
Issue No. 09 - September (1997 vol. 46)
ISSN: 0018-9340
pp: 961-975
<p><b>Abstract</b>—Finite-precision leads to many problems in geometric methods from CAD or Computational Geometry. Until now, using exact rational arithmetic was a simple, yet much too slow, solution to be of any practical use in real-scale applications. A recent optimization—the lazy rational arithmetic [<ref rid="bibt09615" type="bib">5</ref>]—seems promising: It defers exact computations until they become either unnecessary (in most cases) or unavoidable; in such a context, only indispensable computations are performed exactly, that is, those without which any given decision cannot be reached safely using only floating-point arithmetic. This paper takes stock of the lazy arithmetic paradigm: principles, functionalities and limits, speed, possible variants and extensions, difficulties, problems solved or left unresolved.</p>
Computational geometry, hash coding, interval arithmetic, robustness, exact rational arithmetic, lazy arithmetic, inconsistencies.

D. Michelucci and J. Moreau, "Lazy Arithmetic," in IEEE Transactions on Computers, vol. 46, no. , pp. 961-975, 1997.
84 ms
(Ver 3.3 (11022016))