Influence of Unequilateral Apertures of Digital Filters Laplacian "Trunced Pyramid" and "Double Pyramid" on the Accuracy of Television Measuring Systems

作     者：Rylov, K. A. Kupriyanova, K. S. Kamensky, A. V. 

作者机构：Tomsk State Univ Control Syst & Radioelect TUSUR Tomsk 634050 Russia 

出 版 物：《PROGRAMMING AND COMPUTER SOFTWARE》 (程序设计与计算机软件)

年 卷 期：2024年第50卷第3期

页      面：238-248页

核心收录：

学科分类：08[工学] 0835[工学-软件工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Russian Science Foundation at TUSUR [21-79-10200] 

主　　题：digital filters recursively separable filters "truncated pyramid" Laplacian "double pyramid" Laplacian digital image processing television measuring system peak signal-to-noise ratio standard deviation two-dimensional discrete convolution 

摘      要：In the modern world, digital image processing requires increasing the speed of the processing methods and algorithms used. One way to improve performance is to transform spatial filters into filters with a recursively separable form of implementation. The recursion property implies the use of previous output values of a function to form the current sample. The property of separability is understood as division into processing by column and row of a matrix of digital image values. The transformation of spatial filters consists of changing the aperture of the masks into a non-orthogonal (non-equilateral) form, which reduces the number of computational operations and speeds up the processing process, while maintaining its efficiency. The paper presents a description of the non-equilateral apertures of the previously developed Laplacian digital filters truncated pyramid and double pyramid. For non-equilateral apertures, results were obtained for the first time on their use for television measuring systems. From which it can be seen that a truncated pyramid Laplacian filter with non-equilateral processing apertures is recommended for use in TIS, since it increases the efficiency of measuring the range to objects of interest while reducing processing time. Based on the results of processing with modified filters, sets of processed images were obtained for each of the 10 original images. For each set of processed images, measurements of the peak signal-to-noise ratio, standard deviation and selection of the optimal central coefficient of the filter mask were carried out, for subsequent assessment of the effectiveness of processing with modified filters. The assessment of the influence of recursively separable Laplacian filters truncated pyramid and double pyramid with non-equilateral aperture masks on the accuracy of television measurement systems consisted of considering their influence on measuring the distance (from the camera) to the object of interest in the