Adaptive Compressive Sampling for Mid-infrared Spectroscopic Imaging

Fourier transform infrared (FTIR) spectroscopy enables label-free molecular identification and quantification of biological specimens. The resolution of diffraction limited FTIR imaging is poor due to the long optical wavelengths (2.5{\mu}m to 12.5{\mu}m)used and this is particularly limiting in biomedical imaging. Photothermal imaging overcomes this diffraction limit by using a multimodal pump/probe approach. However, these measurements require approximately 1 s per spectrum, making them impractical for large samples. This paper introduces an adaptive compressive sampling technique to dramatically reduce hyperspectral data acquisition time by utilizing both spectral and spatial sparsity. This method identifies the most informative spatial and spectral features and integrates a fast tensor completion algorithm to reconstruct megapixel-scale images and demonstrates speed advantages over FTIR imaging