The paper discusses numerical implementations of various inversion schemes for generalized V-line transforms on vector fields introduced in [6]. It demonstrates the possibility of efficient recovery of an unknown vector field from five different types of data sets, with and without noise. We examine the performance of the proposed algorithms in a variety of setups, and illustrate our results with numerical simulations on different phantoms.
翻译:本文讨论了文献[6]中提出的矢量场广义V线变换多种反演方案的数值实现。研究证明了从五种不同类型的数据集(含噪声与无噪声情况下)高效恢复未知矢量场的可能性。我们检验了所提算法在多种设置下的性能,并通过在不同模体上的数值模拟展示了结果。