标题： 光声学中非等距网格采样与非均匀FFT 显示英文标题

标题： Non-Equispaced Grid Sampling in Photoacoustics with a Non-Uniform FFT

摘要： 为了从光声断层扫描中平面传感器布置的收集数据中获得初始压力，存在一个精确的解析频域重建公式。 该公式的高效实现需要处理在非等距网格上对数据的傅里叶变换的评估。 在本文中，我们使用非均匀快速傅里叶变换来处理此问题，并在三维实验中展示了其可行性，使用真实和合成数据。 这是与使用线性、多项式或最近邻插值的标准方法进行比较的结果。 此外，我们研究了灵活传感器位置的影响和实用性，以充分利用有限数量的传感器点。 计算实现是通过使用多维非均匀快速傅里叶算法完成的，其中在频率和空间域中都进行了非均匀数据采样。 使用合成和真实数据的示例表明，两种方法都能提高图像质量。 显示英文摘要

摘要： To obtain the initial pressure from the collected data on a planar sensor arrangement in photoacoustic tomography, there exists an exact analytic frequency domain reconstruction formula. An efficient realization of this formula needs to cope with the evaluation of the data's Fourier transform on a non-equispaced mesh. In this paper, we use the non-uniform fast Fourier transform to handle this issue and show its feasibility in 3D experiments with real and synthetic data. This is done in comparison to the standard approach that uses linear, polynomial or nearest neighbor interpolation. Moreover, we investigate the effect and the utility of flexible sensor location to make optimal use of a limited number of sensor points. The computational realization is accomplished by the use of a multi-dimensional non-uniform fast Fourier algorithm, where non-uniform data sampling is performed both in frequency and spatial domain. Examples with synthetic and real data show that both approaches improve image quality.