Fast algorithm for geometrical coding of digital images
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2017), pp. 20-27 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper fast algorithm for geometrical coding is presented. It allows to perform image analysis by methods of differential geometry rather than gradient or Hessian-based methods commonly used today for this purpose. One of the most important points in image analysis is speed of calculations. Fast algorithm for geometrical coding is comparable or faster than traditional algorithms of image analysis. In the paper several examples of contour detection are presented.
@article{VMUMM_2017_6_a3,
     author = {G. V. Nosovskii and A. Yu. Chekunov and S. A. Podlipaev},
     title = {Fast algorithm for geometrical coding of digital images},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {20--27},
     year = {2017},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_6_a3/}
}
TY  - JOUR
AU  - G. V. Nosovskii
AU  - A. Yu. Chekunov
AU  - S. A. Podlipaev
TI  - Fast algorithm for geometrical coding of digital images
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2017
SP  - 20
EP  - 27
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2017_6_a3/
LA  - ru
ID  - VMUMM_2017_6_a3
ER  - 
%0 Journal Article
%A G. V. Nosovskii
%A A. Yu. Chekunov
%A S. A. Podlipaev
%T Fast algorithm for geometrical coding of digital images
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2017
%P 20-27
%N 6
%U http://geodesic.mathdoc.fr/item/VMUMM_2017_6_a3/
%G ru
%F VMUMM_2017_6_a3
G. V. Nosovskii; A. Yu. Chekunov; S. A. Podlipaev. Fast algorithm for geometrical coding of digital images. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2017), pp. 20-27. http://geodesic.mathdoc.fr/item/VMUMM_2017_6_a3/

[1] Nosovskiy G.V., “Geometrical coding of color images”, Proc. XIX Geometrical Seminar (Zlatibor, Serbia, August 28–September 4, 2016), Faculty of Mathematics, University of Belgrade, 2017

[2] Golovanov N.N., Fomenko A.T., Ilyutko D.P., Nosovskiii G.V., Kompyuternaya geometriya, Izd. tsentr “Akademiya”, M., 2006

[3] Crownover R.M., Introduction to fractals and chaos, Jones and Bartlett Publishers, Inc, Boston–London, 1995

[4] Falconer K.J., Fractal geometry: Mathematical foundations and applications, John Wiley and Sons, Chichester, England, 1990 | MR | Zbl

[5] Li J.Q., Sun Du C., “An improved box-counting method for image fractal dimension estimation”, Pattern Recognition, 42:11 (2009), 2460–2469 | DOI | Zbl