3D Filtering of Images Corrupted by Additive-Multiplicative Noise

被引：6

作者：

Kravchenko, V. F. ^{[1
,2
,3
]}

Ponomaryov, V., I ^{[4
]}

Pustovoit, V., I ^{[2
,3
]}

Palacios-Enriquez, A. ^{[4
]}

机构：

[1] Russian Acad Sci, Kotelnikov Inst Radio Engn & Elect, Moscow 125009, Russia

[2] Russian Acad Sci, Sci & Technol Ctr Unique Instrumentat, Moscow 117342, Russia

[3] Bauman Moscow State Tech Univ, Moscow 105005, Russia

[4] Natl Polytech Inst Mexico, Mexico City 04430, DF, Mexico

来源：

DOKLADY MATHEMATICS | 2020年 / 102卷 / 02期

关键词：

image; filtering; multiplicative noise; additive noise; homomorphic transformation; peak signal; noise ratio speckle;

D O I：

10.1134/S1064562420050348

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A novel method for filtering images contaminated by mixed (additive-multiplicative) noise is substantiated and implemented for the first time. The method includes several stages: the formation of similar structures in 3D space, homomorphic transformation, a 3D filtering approach based on a sparse representation in the discrete cosine transform space, inverse homomorphic transformation, and final post-processing that involves bilateral filtering and the reconstruction of edges and details. A physical interpretation of the filtering procedure under mixed noise conditions is given, and a filtering block diagram is developed. Numerous experiments based on the developed method have confirmed its superiority in term of conventional criteria, such as the structural similarity index measure and the peak signal-to-noise ratio, as well as in term of visual image quality via human perception.

引用

页码：414 / 417

页数：4

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