Effective algorithm for tomography imaging in threedimensional problems

Abstract

This article presents a new effective imaging method that can be applied in ultrasonic and radio tomography. The proposed method by changing the shape of the voxels leads to a substantial simplification of the algorithm at the cost of small approximations of the voxels. As proved in the work, these approximations do not have a significant impact on the readability of the image which is several times faster. Streszczenie. W pracy przedstawiono nową efektywną metodę obrazowania, która może mieć zastosowanie w transmisyjnej tomografii ultradźwiękowej lub radiowej. Proponowana metoda zmienia kształt voksela z sześciennego na kulisty dzięki czemu uzyskuje się znaczące uproszczenie algorytmu kosztem niewielkiej aproksymacji wokseli. Jak udowodniono w pracy, przyjęta aproksymacja nie ma znaczącego wpływu na wiarygodność obrazów, a jest kilkukrotnie bardziej efektywna. Efektywny algorytm do konstrukcji trójwymiarowych obrazów tomograficznych

Combination of time domain-system matrix and x-space methods to reconstruct magnetic particle images with isotropic resolution

“…This suggests the potential of TD-SM for real-time clinical applications. Nevertheless, reconstruction during magnetic particle imaging may benefit from optimization such as Tikhonov regularization, which can improve signal-to-noise ratio (Knopp et al 2010a, Wu et al 2013; and non-negative fusion LASSO regularization, which can help preserve edges and reduce noise (Rymarczyk et al 2019).…”

“…When employing the Kaczmarz method for reconstructing the PSF-free image from the raw x-space reconstructed image, the emergence of salt-and-pepper noise poses a notable challenge (Wu et al 2013, Rymarczyk et al 2019. This phenomenon typically stemming from inconsistencies introduced during the modeling of weights (T i k ) in the forward projection process (Gupta and Ranjan 2022).…”

The Influence of Buffer Layer Type on the Electrical Properties of Metallic Layers Deposited on Composite Textile Substrates in the PVD Process

“…These particles settle on the surface of the material and form a thin layer, which, depending on the porosity of the substrate, can be a layer with continuous electrical conductivity. An assessment of the smoothness of the substrate can be carried out, using, for example, the method of optical coherence tomography [ 18 ], which, compared to ultrasonic tomography [ 19 ] or electrical tomography [ 20 ], has a much higher resolution.…”

Multi-GPU, Multi-Node Algorithms for Acceleration of Image Reconstruction in 3D Electrical Capacitance Tomography in Heterogeneous Distributed System

“…Also, data acquisition and processing have a significant impact on accuracy and time limits. In order to achieve a high quality tomographic image [5], complex reconstruction algorithms performing many matrix calculations have to be applied [6][7][8][9]. However, choosing an optimal reconstruction algorithm and its implementation depends on an application.…”