Geodesic
Applications of topology in computer algorithms
Mathematica Applicanda, Tome 39 (2011) no. 2, pp. 35-46.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The aim of this paper is to discuss some applications of general topology incomputer algorithms including modeling and simulation, and also in computer graphicsand image processing. While the progress in these areas heavily depends on advances incomputing hardware, the major intellectual achievements are the algorithms. The appli-cations of general topology in other branches of mathematics are not discussed, since theyare not applications of mathematics outside of mathematics.Keywords: general topology, set-theoretic topology, digital topology, mathematical mor-phology, image processing, algorithms, modeling, simulation, industrial mathematics, ap-plicable mathematics.
DOI : 10.14708/ma.v39i2.176
Mots-clés : The aim of this paper is to discuss some applications of general topology incomputer algorithms including modeling and simulation, and also in computer graphicsand image processing. While the progress in these areas heavily depends on advances incomputing hardware, the major intellectual achievements are the algorithms. The appli-cations of general topology in other branches of mathematics are not discussed, since theyare not applications of mathematics outside of mathematics. general topology, set-theoretic topology, digital topology, mathematical mor-phology, image processing, algorithms, modeling, simulation, industrial mathematics, ap-plicable mathematics. 
@article{10_14708_ma_v39i2_176,
     author = {Rastislav Telgarsky},
     title = {Applications of topology in computer algorithms},
     journal = {Mathematica Applicanda},
     pages = { 35--46},
     publisher = {mathdoc},
     volume = {39},
     number = {2},
     year = {2011},
     doi = {10.14708/ma.v39i2.176},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/ma.v39i2.176/}
}
TY  - JOUR
AU  - Rastislav Telgarsky
TI  - Applications of topology in computer algorithms
JO  - Mathematica Applicanda
PY  - 2011
SP  -  35
EP  - 46
VL  - 39
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/ma.v39i2.176/
DO  - 10.14708/ma.v39i2.176
LA  - pl
ID  - 10_14708_ma_v39i2_176
ER  - 
%0 Journal Article
%A Rastislav Telgarsky
%T Applications of topology in computer algorithms
%J Mathematica Applicanda
%D 2011
%P  35-46
%V 39
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/ma.v39i2.176/
%R 10.14708/ma.v39i2.176
%G pl
%F 10_14708_ma_v39i2_176
Rastislav Telgarsky. Applications of topology in computer algorithms. Mathematica Applicanda, Tome 39 (2011) no. 2, pp.  35-46. doi : 10.14708/ma.v39i2.176. http://geodesic.mathdoc.fr/articles/10.14708/ma.v39i2.176/

Cité par Sources :