We investigate the ability to reconstruct and derive spatial structure from sparsely sampled 3D piezoresponse force microcopy data, captured using the band-excitation (BE) technique, via Gaussian Process (GP) methods. Even for weakly informative priors, GP methods allow unambiguous determination of the characteristic length scales of the imaging process both in spatial and frequency domains. We further show that BE data set tends to be oversampled in the spatial domains, with ~30% of original data set sufficient for high-quality reconstruction, potentially enabling faster BE imaging. At the same time, reliable reconstruction along the frequency domain requires the resonance peak to be within the measured band. This behavior suggests the optimal strategy for the BE imaging on unknown samples. Finally, we discuss how GP can be used for automated experimentation in SPM, by combining GP regression with non-rectangular scans.

我们研究了通过稀疏采样的3D压电响应力显微数据重建和导出空间结构的能力，该数据是使用带激励（BE）技术通过高斯过程（GP）方法捕获的。即使对于信息量较小的先验，GP方法也可以在空间和频域中明确确定成像过程的特征长度尺度。我们进一步表明，BE数据集倾向于在空间域中被过度采样，原始数据集的〜30％足以进行高质量的重建，从而有可能实现更快的BE成像。同时，沿着频域的可靠重建需要共振峰在测量频带内。此行为表明对未知样品进行BE成像的最佳策略。最后，