loading...
 This Article 
   
 Share 
   
 Bibliographic References 
   
 Add to: 
 
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb
 
 Search 
   
12th IEEE Symposium on Computer Arithmetic (ARITH-12 '95)
An epsilon-Arithmetic for Removing Degeneracies
Bath, England
July 19-July 21
ISBN: 0-8186-7089-4
ASCII Text
x 
 
D. Michelucci, "An epsilon-Arithmetic for Removing Degeneracies," Computer Arithmetic, IEEE Symposium on, pp. 230, 12th IEEE Symposium on Computer Arithmetic (ARITH-12 '95), 1995.
 
 
BibTex
x
 
@article{ 10.1109/ARITH.1995.465353,
author = {D. Michelucci},
title = {An epsilon-Arithmetic for Removing Degeneracies},
journal ={Computer Arithmetic, IEEE Symposium on},
volume = {0},
year = {1995},
issn = {1063-6889},
pages = {230},
doi = {http://doi.ieeecomputersociety.org/10.1109/ARITH.1995.465353},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Computer Arithmetic, IEEE Symposium on
TI - An epsilon-Arithmetic for Removing Degeneracies
SN - 1063-6889
SP
EP
A1 - D. Michelucci,
PY - 1995
VL - 0
JA - Computer Arithmetic, IEEE Symposium on
ER -
 
D. Michelucci, Ecole Nationale Superieure des Mines
Symbolic perturbation by infinitely small values removes degeneracies in geometric algorithms and enables programmers to handle only generic cases: there are a few such cases, whereas there are an overwhelming number of degenerate cases. Current perturbation schemes have limitations, presented below. This paper proposes to use an epsilon-arithmetic, i.e. to represent in an explicit way infinitely small numbers, and to define arithmetic operations (+,-,*,/,<,=) on them.
Citation:
D. Michelucci, "An epsilon-Arithmetic for Removing Degeneracies," arith, pp.230, 12th IEEE Symposium on Computer Arithmetic (ARITH-12 '95), 1995
Usage of this product signifies your acceptance of the Terms of Use.