层析成像中的阻尼代数重建技术

1992年 31卷 第No. 4期
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SIMULTANEOUS DAMPING ALGEBRAIC RECONSTRUCTION TECHNIQUE IN TOMOGRAPHY
大连理工大学工程力学所
Dalian University of Technology
在同时代数重构法(SART)中,引入阻尼项即可得到阻尼同时代数重构法(DSART)。可以证明,它收敛于阻尼最小二乘问题的解,因而克服了收敛于最小二乘问题的SIRT、SART法可能出现的不稳定解。文中给出了超声物理实验重建的结果。
SDART (Simultaneous Damping Algebraic Reconstruction Techniquc) is constructed by introducing an additional damping term into SART (Simultaneous Algebraic Reconrtruction Technique), which can be shown to converge to the solution of a damping least-square problem. As a result, the ambiguity in solutions of SIRT and SART method can be avoided, which are supposed to converge to the solution of common L-S problems. Besides the theoritical description for SDART, some reconstruction results from sonic experiments in lab are presented in this paper.
层析成像; 同时代数重构法(SART); 阻尼同时代数重构法(DSART); SIRT;
Tomography; Simultaneous Algebraic Reconstruction Technique (SART); Simultarcous Damping Algebraic Reconstruction Technique (SDART); SIRT;