Dedicated algorithm based on discrete cosine transform for the analysis of industrial processes using ultrasound tomography

Optimisation of Technological Processes by Solving Inverse Problem through Block-Wise-Transform-Reduction Method Using Open Architecture Sensor Platform

“…The image reconstruction problem often leads to a redundant system of algebraic equations. The radical matrices appearing in the equations are numerically very sparse, including the consolidation of the inverse operation range [31][32][33][34]. Instead of reconstructing the whole image inaccurately pixel by pixel, by using lossy image compression, the number of unknowns is reduced, which is the main feature of the presented method.…”

“…After direct decompression, the image can be further processed by filtering with a static high-pass filter and further segmentation, as seen in Figure 12. The picture achieved after filtering differs from the tomogram standard quality of other algorithms [31][32][33][34][35]. In addition, an exact image can be obtained after segmentation.…”

“…Despite the apparent loss of detail, the overall shape is reproduced correctly. The picture achieved after filtering differs from the tomogram standard quality of other algorithms [31][32][33][34][35]. In addition, an exact image can be obtained after segmentation.…”

“…Previous studies conducted by different teams on the simple problem in ultrasonic transmission tomography have shown the effectiveness of methods based on radial models [7,23,32].…”

“…where r-vector encoding the image values (reconstruction), m-vector encoding the measurement values, J-matrix whose rows are obtained from individual sensitivity maps (determined by radial methods). For this study, the smoothed thick lines model [32] was used as a starting point. The application of the selected sensitivity map is shown in Figure 14.…”