Applications of topology in computer algorithms

Rastislav Telgarsky. "Applications of topology in computer algorithms." Mathematica Applicanda 39.2 (2011): null. <http://eudml.org/doc/293393>.

@article{RastislavTelgarsky2011,
abstract = {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.},
author = {Rastislav Telgarsky},
journal = {Mathematica Applicanda},
language = {eng},
number = {2},
pages = {null},
title = {Applications of topology in computer algorithms},
url = {http://eudml.org/doc/293393},
volume = {39},
year = {2011},
}

TY - JOUR
AU - Rastislav Telgarsky
TI - Applications of topology in computer algorithms
JO - Mathematica Applicanda
PY - 2011
VL - 39
IS - 2
SP - null
AB - 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.
LA - eng
UR - http://eudml.org/doc/293393
ER -