基于总变异(TV) l1范数最小化的有限数据x射线CT图像重建

IF 1 4区材料科学 Q3 MATERIALS SCIENCE, CHARACTERIZATION & TESTING

Research in Nondestructive Evaluation Pub Date : 2020-05-03 DOI:10.1080/09349847.2019.1673857

S. Sarkar, P. Wahi, P. Munshi

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引用次数: 2

摘要

数据有限的CT图像重建是现实生活中的难题。本文研究并验证了总变差(TV) l1范数最小化技术，该技术可以从有限的数据中重建CT图像，包括有限数量的视图和有限的角跨度，这是工程应用中的典型情况。拉格朗日技术已被用于求解电视方程。利用不同的图像质量指数(IQI)参数，将重建的CT图像与SIRT、高阶电视(HOTV)技术、l2范数最小化技术等重建的CT图像进行比较。结果表明，从工业和工程的角度来看，该方案是一种有吸引力的有限数据CT图像重建方案。为了保证较好的全局重构，给出了Sobolev空间误差分析的应用。

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Total Variation (TV) l1 Norm Minimization Based Limited Data X-ray CT Image Reconstruction

ABSTRACT Limited data CT Image reconstruction is a real-life problem. A Total Variation (TV) l1 norm minimization technique has been examined and validated here to reconstruct CT images from limited data incorporating a limited number of views along with limited angular span, a situation typical in engineering applications. The Lagrangian technique has been used to solve TV equations. The reconstructed CT image has been compared with the images reconstructed by SIRT, Higher Order TV (HOTV) technique, l2 norm minimization based technique and some other techniques with the help of various image quality index (IQI) parameters. The comparison shows that the proposed scheme is an attractive solution for limited data CT Image reconstruction from industrial and engineering perspective. The application of Sobolev space error analysis has also been given to ensure good global reconstruction.

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来源期刊

Research in Nondestructive Evaluation 工程技术-材料科学：表征与测试

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Research in Nondestructive Evaluation® is the archival research journal of the American Society for Nondestructive Testing, Inc. RNDE® contains the results of original research in all areas of nondestructive evaluation (NDE). The journal covers experimental and theoretical investigations dealing with the scientific and engineering bases of NDE, its measurement and methodology, and a wide range of applications to materials and structures that relate to the entire life cycle, from manufacture to use and retirement. Illustrative topics include advances in the underlying science of acoustic, thermal, electrical, magnetic, optical and ionizing radiation techniques and their applications to NDE problems. These problems include the nondestructive characterization of a wide variety of material properties and their degradation in service, nonintrusive sensors for monitoring manufacturing and materials processes, new techniques and combinations of techniques for detecting and characterizing hidden discontinuities and distributed damage in materials, standardization concepts and quantitative approaches for advanced NDE techniques, and long-term continuous monitoring of structures and assemblies. Of particular interest is research which elucidates how to evaluate the effects of imperfect material condition, as quantified by nondestructive measurement, on the functional performance.