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JOURNALS // Computer Optics // Archive

Computer Optics, 2023 Volume 47, Issue 4, Pages 596–604 (Mi co1160)

IMAGE PROCESSING, PATTERN RECOGNITION

Linear operators with vector masks in digital image processing problems

A. I. Novikov, A. V. Pronkin

Ryazan State Radio Engineering University

Abstract: The paper shows that it is expedient to use vector masks for solving some types of digital image processing problems. The main advantage of vector masks compared to matrix masks is that they reduce the computational complexity of algorithms while maintaining, and in some problems even improving, quality indicators. The article demonstrates examples of the use of vector masks in the problem of estimating the level of discrete white noise in an image, forming a basis for constructing a correctly working sigma filter, which are used for obtaining smoothed partial derivative estimates in the problem of edge detection and detecting straight lines in a contour image. The work uses results obtained by the authors in their earlier publications.

Keywords: linear operators, vector mask, convolution, noise variance estimation, edge detection, contour image, line detection

Received: 19.10.2022
Accepted: 17.12.2022

DOI: 10.18287/2412-6179-CO-1241



© Steklov Math. Inst. of RAS, 2025