| DERIVATION AND ANALYSIS OF A NEW RECONSTRUCTION FORMULA FROM CONE-BEAM PROJECTIONS |
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| 作者姓名： | YouJIANGSHENG BAOSHANGLIAN |
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| 摘 要： | A new method to compute the first derivative of 3-D Radon transform is given for cone-beam data taken from any orbit. Smith Ⅰ1] and Grangeat 5] even derived cone-beam inversion formulas which are the basic work in fully 3-D image reconstruction algorithm and are used extensively now. In this paper we will give a new inversion formula and a simple necessary and sufficient condition which guarantees the complete reconstruction algorithm.
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| 关 键 词： | 计算机线体层照相术 锥形光束 重构公式 重构算法 倒置公式 |
| 收稿时间： | 31 July 1995 |
Derivation and analysis of a new reconstruction formula from cone-beam projections |
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| YouJIANGSHENG BAOSHANGLIAN.DERIVATION AND ANALYSIS OF A NEW RECONSTRUCTION FORMULA FROM CONE-BEAM PROJECTIONS[J].Applied Mathematics A Journal of Chinese Universities,1996,11(4):399-408. |
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| Authors: | You Jlangsheng Bao Shanglian |
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| Institution: | (1) Institute of Heavy Ion Physics, Peking University, 100871 Beijing |
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| Abstract: | Abstract. A new method to compute the first derivative of 3-D Radon transform is given for cone-beam data taken from any orbit.
Smith 11] and Grangeat 5] even derived cone-beam inversion formulas which are the basic work in fully 3-D image reconstruction
algorithm and are used extensively now. In this paper we will give a new inversion formula and a simple necessary and sufficient
condition which guarantees the complete reconstruction algorithm.
1991MR Subject Classification: 44A12, 92C55, 65R10.
Supported by the National Natural Science Foundation of China. |
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| Keywords: | Radon transform cone-beam projection Grangeat-Smith reconstruction program |
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