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平面Radon变换的反演公式 被引量:4

The Inversion Formula of Radon Transform in R^2
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摘要 本文借助球面平均法和Hilbert空间算子理论,给出了平面上Radon变换的反演公式,此公式是具体的、构造性的,便于数值计算,或者进一步探讨重建图象的性质。 In this paper, we constructively establish inversion formula of Radon transform in R2 by making use of spherical means and hilbert operator space.
作者 王金平
机构地区 武汉大学
出处 《CT理论与应用研究(中英文)》 2000年第1期8-11,共4页 Computerized Tomography Theory and Applications
关键词 RADON变换 反演公式 球面平均法 希尔伯特空间 Radon transform, Inversion formula, spherical means, Hilbert operator space
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参考文献5

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  • 2Ludwig,D.Comm.PureAppl.Math.1966.19:49
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  • 5Radon,J.Ber.Verh.Sachs.Akan,1917,69:262

同被引文献18

  • 1王卫江.实时高斯噪声产生方法[J].仪器仪表学报,2006,27(11):1523-1525. 被引量:6
  • 2赵勇,李品江.CT噪声和伪影对成像质量的影响及控制[J].中华放射学杂志,1997,31(1):56-58. 被引量:11
  • 3Murphy h M. Linear feature detection and enhancement in noisy images via the Radon transform[J]. Pattern Recognition Let-ters, 1986, 4(4),279-284.
  • 4Duda R O, Hart D E. Use of the hough transform to detect lines and curves in pictures[J]. Commun Ass Comput Mach,1972, 15(2) :11-15.
  • 5Rey M T, Tunaley J K, Folinsbee J T, et al. Application of Ra-don transform techniques to wake detection in seasat-SAR ima-ges[J]. IEEE Trans Geoscience and Remote Sensing, 1990, 28(4):553-560.
  • 6Copeland A C, Ravichandran G, Trivedi M M. Localized Radon transform for ship wake detection in SAR imagery[A]. In Procof SPIE Automatic Object Recognition Ⅳ[C]. Orlando, FL,1994.
  • 7Finch I,Antonacopoulos A.Identification of airfield runways in synthetic aperture radar imags[A].Proc of 14th Int Conf on Pattem Recognition[C].Los Alamitos,USA:IEEE CS Press,1998.1633-1636.
  • 8Murphy L M.Linear feature detection and enhancement in noisy images via the Radon transform[J].Pattern Recognition Letters,1986,4(4):279-284.
  • 9Duds R O,Hart D E.Use of the hough transform to detect lines and curves in pictures[J].Commun Ass Comput Mach,1972,15(2):11-15.
  • 10Rey M T,Tunaley J K,Folinsbee J T,et al.Application of Radon transform techniques to wake detection in seasat-SAR images[J].IEEE Trans Geosciences and Remote Sensing,1990,28(4):553-560.

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