3D image reconstruction algorithm for truncated projection data in a half-covered scanning configuration

Author: Wang Xianchao   Liu Hongkui   Yan Bin   Li Lei   Hu Guoen  

Publisher: The British Institute of Non-Destructive Testing

ISSN: 1354-2575

Source: Insight - Non-Destructive Testing and Condition Monitoring, Vol.55, Iss.5, 2013-05, pp. : 243-248

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

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Abstract

In various applications of circular cone-beam computed tomography (CT), it is common that the reconstructed object is big and cannot be covered by the field of view (FOV) due to the restriction of the width of the X-ray beam and the size of the detector. Thus, we consider a scanning configuration in which the X-ray beams only cover half of the object and the cone-beam projection data are acquired from an asymmetrically positioned half-sized detector. The acquired cone-beam projection data are truncated at every view angle, which does not satisfy the conventional reconstruction condition that the projection data cannot be transversely truncated. If an explicit data rebinning process is not invoked, this data acquisition configuration will play havoc with many known cone-beam image reconstruction algorithms. In this paper, we apply a recently-developed back projection filtration (BPF) algorithm in circular cone-beam CT and an observation that a correct back projection image can be formed by combining the projection data from different view angles, and then develop an algorithm to reconstruct 3D images for the half-covered scanning configuration. Numerical simulations and real data reconstruction experiments are conducted to validate the proposed reconstruction algorithm.

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