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]中提出的向量场广义V线变换的多种反演方案的数值实现。论证了基于五种不同类型数据集(含噪声与无噪声)高效恢复未知向量场的可能性。我们在多种设置条件下检验了所提算法的性能,并通过不同模体上的数值模拟对结果进行了展示。