Implementation of Fermat'S Principle for Detection of Anomalies in Ultrasound Transmission Tomography

Kania, Konrad; Rymarczyk, Tomasz; Maj, Michał; Gołąbek, Michał

doi:10.23919/ptze.2019.8781687

Cited by 3 publications

(5 citation statements)

References 23 publications

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“…The traditional approach to modelling an ultrasonic tomograph is to approximate the system behaviour with a model of simple propagation rays between two ultrasonic probes. Publications verify the effectiveness of this solution reliably being able to image the positions of inclusions and the domain of the tomographic system [27][28][29][30][31][32][33][34][35]. Moreover, the effectiveness of such models can be verified by a practical study from measurement data.…”

Section: Innovation Of the Solutionmentioning

confidence: 83%

“…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.…”

Section: Block-wise-transform-reduction Methods Based Image Reconstru...mentioning

confidence: 99%

“…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.…”

Section: Compression Testsmentioning

confidence: 99%

“…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.…”

Section: Compression Testsmentioning

confidence: 99%

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

et al. 2021

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This paper presents an open architecture for a sensor platform for the processing, collection, and image reconstruction from measurement data. This paper focuses on ultrasound tomography in block-wise-transform-reduction image reconstruction. The advantage of the presented solution, which is part of the project “Next-generation industrial tomography platform for process diagnostics and control”, is the ability to analyze spatial data and process it quickly. The developed solution includes industrial tomography, big data, smart sensors, computational intelligence algorithms, and cloud computing. Along with the measurement platform, we validate the methods that incorporate image compression into the reconstruction process, speeding up computation and simplifying the regularisation of solving the inverse tomography problem. The algorithm is based on discrete transformation. This method uses compression on each block of the image separately. According to the experiments, this solution is much more efficient than deterministic methods. A feature of this method is that it can be directly incorporated into the compression process of the reconstructed image. Thus, the proposed solution allows tomographic sensor-based process control, multidimensional industrial process control, and big data analysis.

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Section: Innovation Of the Solutionmentioning

confidence: 83%

Section: Block-wise-transform-reduction Methods Based Image Reconstru...mentioning

confidence: 99%

Section: Compression Testsmentioning

confidence: 99%

Section: Compression Testsmentioning

confidence: 99%

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

et al. 2021

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“…Ultrasound transmission tomography (UTT) can be divided into two basic groups, namely, classical and diffraction tomography and these two groups, in turn, into transmission and reflection tomography (Kania et al , 2020; Kania et al ,2019a; Kania et al , 2019b; Khairi et al , 2019; Ma et al , 2017; Rymarczyk et al ,2019). This article focuses on transmission imaging methods using UTT (Gudra and Opieliński, 2006; Kłosowski et al ,2020; Koulountzios et al , 2019; Rymarczyk and Sikora, 2019).…”

Section: Introductionmentioning

confidence: 99%

Image reconstruction by solving the inverse problem in ultrasonic transmission tomography system

Rymarczyk

Kania²,

Gołąbek³

et al. 2020

COMPEL

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Purpose The purpose of this study is to develop a reconstruction and measurement system for data analysis using ultrasonic transmission tomography. The problem of reconstruction from the projection is encountered in practical implementation, which consists in reconstructing an image that is an estimation of an unknown object from a finite set of projection data. Reconstructive algorithms used in transmission tomography are based on linear mathematical models, which makes it necessary to process non-linear data into estimates for a finite number of projections. The application of transformation methods requires building a mathematical model in which the projection data forming the known and unknown quantities are functions with arguments from a continuous set of real numbers, determining the function describing the unknown quantities sought in the form of inverse relation and adapting it to operate on discrete and noisy data. This was done by designing a tomographic device and proprietary algorithms capable of reconstructing two-dimensional images regardless of the size, shape, location or number of inclusions hidden in the examined object. Design/methodology/approach The application consists of a device and measuring sensors, as well as proprietary algorithms for image reconstruction. Ultrasonic transmission tomography makes it possible to analyse processes occurring in an object without interfering with the examined object. The proposed solution uses algorithms based on ray integration, the Fermat principle and deterministic methods. Two applications were developed, one based on C and implemented on the embedded device, while the other application was made in Matlab. Findings Research shows that ultrasonic transmission tomography provides an effective analysis of tested objects in closed tanks. Research limitations/implications In the presented technique, the use of ultrasonic absorption wave has been limited. Nevertheless, the effectiveness of such a solution has been confirmed. Practical implications The presented solution can be used for research and monitoring of technological processes. Originality/value Author’s tomographic system consisting of a measuring system and image reconstruction algorithms.

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Application of Finite Difference Method for Measurement Simulation in Ultrasound Transmission Tomography

Kania

Mazurek

Rymarczyk

2022

acs

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In this work, we present a computer simulation model that generates the propagation of sound waves to solve a forward problem in ultrasound transmission tomography. The simulator can be used to create data sets used in the supervised learning process. A solution to the "free-space" boundary problem was proposed, and the memory consumption was significantly optimized from O(n2) to O(n). The given method of simulating wave scattering enables the control of the noise extinction time within the tomographic probe and the permeability of the sound wave. The presented version of the script simulates the classic variant of a circular probe with evenly distributed sensors around the circumference.

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Implementation of Fermat'S Principle for Detection of Anomalies in Ultrasound Transmission Tomography

Cited by 3 publications

References 23 publications

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

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

Image reconstruction by solving the inverse problem in ultrasonic transmission tomography system

Application of Finite Difference Method for Measurement Simulation in Ultrasound Transmission Tomography

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