An imperceptible incorrectness in deriving data consistency condition from John’s equation for cone-beam CT imaging

A John’s equation-based consistency condition (JECC) and restoration of corrupted projection had ever been proposed for the circular trajectory cone beam CT (CBCT) imaging. They attempted to derive the so-called JECC, i.e., a data consistency condition (DCC) from John’s equation. Unfortunately, ther...

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Veröffentlicht in:	Optik (Stuttgart) 2020-02, Vol.202, p.163603, Article 163603
Hauptverfasser:	Tang, Shaojie, Li, Baolei, Qiao, Zhiwei, Zhu, Yining, Guo, Cong, Wang, Yupeng, Yuan, Hao, Yao, Tingwei, Han, Jingting, Hu, Yixiong, Cao, Dong, Deng, Yu, Yu, Fuhua, Shen, Jiandong, Fan, Jiulun
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Sprache:	eng
Schlagworte:	Characteristic manifold Cone beam Consistency condition John’s equation
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creator	Tang, Shaojie Li, Baolei Qiao, Zhiwei Zhu, Yining Guo, Cong Wang, Yupeng Yuan, Hao Yao, Tingwei Han, Jingting Hu, Yixiong Cao, Dong Deng, Yu Yu, Fuhua Shen, Jiandong Fan, Jiulun
description	A John’s equation-based consistency condition (JECC) and restoration of corrupted projection had ever been proposed for the circular trajectory cone beam CT (CBCT) imaging. They attempted to derive the so-called JECC, i.e., a data consistency condition (DCC) from John’s equation. Unfortunately, there is an imperceptible incorrectness in their derivation, which is disproved here by following the line of their thought. The basic cause leading to the imperceptible incorrectness is that John’s equation was incorrectly applied to a characteristic manifold.
doi_str_mv	10.1016/j.ijleo.2019.163603
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subjects	Characteristic manifold Cone beam Consistency condition John’s equation
title	An imperceptible incorrectness in deriving data consistency condition from John’s equation for cone-beam CT imaging
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