平面Radon变换的反演公式

王金平. 平面Radon变换的反演公式[J]. CT理论与应用研究, 2000, 9(1): 8-11.

引用本文:

王金平. 平面Radon变换的反演公式[J]. CT理论与应用研究, 2000, 9(1): 8-11.

Wang Jinping. The Inversion Formula of Radon Transform in R²[J]. CT Theory and Applications, 2000, 9(1): 8-11.

Citation:

Wang Jinping. The Inversion Formula of Radon Transform in R²[J]. CT Theory and Applications, 2000, 9(1): 8-11.

The Inversion Formula of Radon Transform in R²

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。

Abstract: In this paper, we constructively establish inversion formula of Radon transform in R² by making use of spherical means and hilbert operator space.

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