论文标题
单次质量ADRT的范围表征
A range characterization of the single-quadrant ADRT
论文作者
论文摘要
这项工作表征了正方形图像的单次近代近似离散ra transform（ADRT）的范围。表征源于代码域上的一组线性约束。我们表明，对于满足这些约束的数据，确切而快速的反转公式[RIM，Appl。数学。 Lett。 102 106159，2020]以稳定的方式得出平方图像。首先证明ADRT是在无限半条带上支持的图像之间进行的，然后识别在反转公式下保持有限支持的线性子空间，从而获得了范围表征。
This work characterizes the range of the single-quadrant approximate discrete Radon transform (ADRT) of square images. The characterization follows from a set of linear constraints on the codomain. We show that for data satisfying these constraints, the exact and fast inversion formula [Rim, Appl. Math. Lett. 102 106159, 2020] yields a square image in a stable manner. The range characterization is obtained by first showing that the ADRT is a bijection between images supported on infinite half-strips, then identifying the linear subspaces that stay finitely supported under the inversion formula.
