论文标题

指数ra的显式圆形谐波反转

Explicit Circular Harmonic Inversions of Exponential Radon Transform

论文作者

You, Jiangsheng, Du, Geyang, Zeng, Gengsheng L, Liang, Zhengrong

论文摘要

使用PlemelJ公式,我们获得了具有复杂系数的指数ra换变换的三个圆形谐波反转公式。我们还得出了两个不同的范围条件,并证明了Novikov的范围条件确实意味着实际系数的传统范围条件。

Using Plemelj formula we obtain three circular harmonic inversion formulas of the exponential Radon transform with complex coefficients. We also derive two different range conditions and prove that Novikov's range condition does imply the traditional range condition for real coefficients.

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