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.

中文翻译：

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超声透射断层成像系统求解逆问题的图像重建

目的

本研究的目的是开发一种使用超声透射断层扫描进行数据分析的重建和测量系统。在实际实现中会遇到从投影重建的问题，这包括重建图像，该图像是从有限的投影数据集对未知对象的估计。透射断层扫描中使用的重建算法基于线性数学模型，这使得必须将非线性数据处理为有限数量投影的估计值。变换方法的应用需要建立一个数学模型，其中形成已知和未知量的投影数据是具有连续实数集的参数的函数，确定描述以逆关系形式寻求的未知量的函数，并使其适应对离散和有噪声的数据进行操作。这是通过设计能够重建二维图像的断层扫描设备和专有算法来完成的，无论隐藏在检查对象中的夹杂物的大小、形状、位置或数量如何。

设计/方法/方法

该应用程序包括一个设备和测量传感器，以及用于图像重建的专有算法。超声波透射断层扫描可以在不干扰被检查对象的情况下分析对象中发生的过程。所提出的解决方案使用基于射线积分、费马原理和确定性方法的算法。开发了两个应用程序，一个基于 C 并在嵌入式设备上实现，而另一个应用程序在 Matlab 中实现。

发现

研究表明，超声波透射断层扫描可有效分析密闭罐中的测试对象。

研究限制/影响

在所提出的技术中，超声波吸收波的使用受到了限制。尽管如此，这种解决方案的有效性已经得到证实。

实际影响

所提出的解决方案可用于技术过程的研究和监控。

原创性/价值

作者的断层扫描系统由测量系统和图像重建算法组成。