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An Improved Extrapolation Scheme for Truncated CT Data Using 2D Fourier-Based Helgason-Ludwig Consistency Conditions
المؤلفون المشاركون
Xia, Yan
Berger, Martin
Bauer, Sebastian
Hu, Shiyang
Aichert, Andre
Maier, Andreas
المصدر
International Journal of Biomedical Imaging
العدد
المجلد 2017، العدد 2017 (31 ديسمبر/كانون الأول 2017)، ص ص. 1-14، 14ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2017-07-20
دولة النشر
مصر
عدد الصفحات
14
التخصصات الرئيسية
الملخص EN
We improve data extrapolation for truncated computed tomography (CT) projections by using Helgason-Ludwig (HL) consistency conditions that mathematically describe the overlap of information between projections.
First, we theoretically derive a 2D Fourier representation of the HL consistency conditions from their original formulation (projection moment theorem), for both parallel-beam and fan-beam imaging geometry.
The derivation result indicates that there is a zero energy region forming a double-wedge shape in 2D Fourier domain.
This observation is also referred to as the Fourier property of a sinogram in the previous literature.
The major benefit of this representation is that the consistency conditions can be efficiently evaluated via 2D fast Fourier transform (FFT).
Then, we suggest a method that extrapolates the truncated projections with data from a uniform ellipse of which the parameters are determined by optimizing these consistency conditions.
The forward projection of the optimized ellipse can be used to complete the truncation data.
The proposed algorithm is evaluated using simulated data and reprojections of clinical data.
Results show that the root mean square error (RMSE) is reduced substantially, compared to a state-of-the-art extrapolation method.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Xia, Yan& Berger, Martin& Bauer, Sebastian& Hu, Shiyang& Aichert, Andre& Maier, Andreas. 2017. An Improved Extrapolation Scheme for Truncated CT Data Using 2D Fourier-Based Helgason-Ludwig Consistency Conditions. International Journal of Biomedical Imaging،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1159606
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Xia, Yan…[et al.]. An Improved Extrapolation Scheme for Truncated CT Data Using 2D Fourier-Based Helgason-Ludwig Consistency Conditions. International Journal of Biomedical Imaging No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1159606
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Xia, Yan& Berger, Martin& Bauer, Sebastian& Hu, Shiyang& Aichert, Andre& Maier, Andreas. An Improved Extrapolation Scheme for Truncated CT Data Using 2D Fourier-Based Helgason-Ludwig Consistency Conditions. International Journal of Biomedical Imaging. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1159606
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1159606
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
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