Geodesic
The quasi-convolutions and the applications to the coded images
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 2, Tome 244 (1997), pp. 167-180

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we introduce a new integral operator, which we call as a quasi-convoluation. The kernel of this operator is analogical to the kernel of the operator of usual convolution, but has a variable scale. Classical inversion by usual Fourier transformation is not possible in this case, but we give the examples of the inversion for the special cases in one and two dimensions. We give also the applications for a recognition of the images in medicine, where the quasi-convolutions are connected with a transformation of the coded images. 
@article{ZNSL_1997_244_a10,
     author = {L. B. Klebanov and J. F. Crouzed},
     title = {The quasi-convolutions and the applications to the coded images},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {167--180},
     publisher = {mathdoc},
     volume = {244},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_244_a10/}
}
TY  - JOUR
AU  - L. B. Klebanov
AU  - J. F. Crouzed
TI  - The quasi-convolutions and the applications to the coded images
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1997
SP  - 167
EP  - 180
VL  - 244
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1997_244_a10/
LA  - ru
ID  - ZNSL_1997_244_a10
ER  - 
%0 Journal Article
%A L. B. Klebanov
%A J. F. Crouzed
%T The quasi-convolutions and the applications to the coded images
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 167-180
%V 244
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_244_a10/
%G ru
%F ZNSL_1997_244_a10
L. B. Klebanov; J. F. Crouzed. The quasi-convolutions and the applications to the coded images. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 2, Tome 244 (1997), pp. 167-180. http://geodesic.mathdoc.fr/item/ZNSL_1997_244_a10/