Sparse-view tomography has many applications such as in low-dose computed tomography (CT). Using under-sampled data, a perfect image is not expected. The goal of this paper is to obtain a tomographic image that is better than the naïve filtered backprojection (FBP) reconstruction that uses linear interpolation to complete the measurements. This paper proposes a method to estimate the un-measured projections by displacement function interpolation. Displacement function estimation is a non-linear procedure and the linear interpolation is performed on the displacement function (instead of, on the sinogram itself). As a result, the estimated measurements are not the linear transformation of the measured data. The proposed method is compared with the linear interpolation methods, and the proposed method shows superior performance.

中文翻译：

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通过位移函数插值的稀疏断层扫描

稀疏视图层析成像具有许多应用，例如在低剂量计算机层析成像（CT）中。使用欠采样数据，无法获得理想的图像。本文的目的是获得比使用线性插值法完成测量的朴素滤波反投影（FBP）重建更好的断层图像。本文提出了一种通过位移函数插值估计未测投影的方法。位移函数估计是一个非线性过程，线性插值是对位移函数（而不是对正弦图本身）进行的。结果，估计的测量值不是测量数据的线性变换。将该方法与线性插值方法进行了比较，表明该方法具有优越的性能。