Parameters Calibration of CT System Based on Geometric Model and Inverse Radon Transform

Huang, Hongliang; Tang, Weiyu; Yang, Juntao; Wang, Lidong

doi:10.1109/icnisc54316.2021.00046

Cited by 1 publication

(1 citation statement)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…From the perspective of applied mathematics, CT reconstruction is essentially an inverse problem of the Radon transform [3]. Therefore, the properties of the Radon transform have always been the research topic in the CT reconstruction field [4][5][6][7]. Among all algorithms based on the inverse Radon transform, the filtered back projection (FBP) technique is a typical case [8], which is convenient to implement.…”

Section: Introductionmentioning

confidence: 99%

A Generalized Construction Model for CT Projection-Wise Filters on the SDBP Technique

Jiang

Zhao

et al. 2022

Mathematics

View full text Add to dashboard Cite

Nowadays, with the rapid development of computed tomography (CT), the theoretical expansion of CT reconstruction has become the crucial ingredient to break through technical bottlenecks. This article supplements relevant knowledge of the method for constructing CT projection-wise filters. From the perspective of the mathematical principle of CT reconstruction, the second-order divided-difference back projection (SDBP) technique is firstly proposed, which is an implementation of accurate and efficient inverse Radon transform. On the basis of the SDBP technique, a brand new computational model for filter expressions is derived. The model reveals the correlation between the convolution kernel for data restoration and the filter expression and also specifies the principle of filter construction. On the proposed filter construction model, the decomposition form of filters is discovered for the first time. A series of basic filters are acquired, which can be used to compose filters in actual need. According to the superposition principle, the properties of a filter depend on the decomposed basic filters. The selection of the kernel function on the properties of basic filters clarifies the general rule of filter construction. These theories proposed in this article are of reference value for the filter optimization research in the CT reconstruction field.

show abstract