Nonnegative matrix factorization for efficient hyperspectral image projection

Alexander S. Iacchetta; James R. Fienup; David T. Leisawitz; Matthew R. Bolcar

doi:10.1117/12.2188119

1 September 2015 Nonnegative matrix factorization for efficient hyperspectral image projection

Alexander S. Iacchetta, James R. Fienup, David T. Leisawitz, Matthew R. Bolcar

Proceedings Volume 9611, Imaging Spectrometry XX; 96110Y (2015) https://doi.org/10.1117/12.2188119
Event: SPIE Optical Engineering + Applications, 2015, San Diego, California, United States

Abstract

Hyperspectral imaging for remote sensing has prompted development of hyperspectral image projectors that can be used to characterize hyperspectral imaging cameras and techniques in the lab. One such emerging astronomical hyperspectral imaging technique is wide-field double-Fourier interferometry. NASA’s current, state-of-the-art, Wide-field Imaging Interferometry Testbed (WIIT) uses a Calibrated Hyperspectral Image Projector (CHIP) to generate test scenes and provide a more complete understanding of wide-field double-Fourier interferometry. Given enough time, the CHIP is capable of projecting scenes with astronomically realistic spatial and spectral complexity. However, this would require a very lengthy data collection process. For accurate but time-efficient projection of complicated hyperspectral images with the CHIP, the field must be decomposed both spectrally and spatially in a way that provides a favorable trade-off between accurately projecting the hyperspectral image and the time required for data collection. We apply nonnegative matrix factorization (NMF) to decompose hyperspectral astronomical datacubes into eigenspectra and eigenimages that allow time-efficient projection with the CHIP. Included is a brief analysis of NMF parameters that affect accuracy, including the number of eigenspectra and eigenimages used to approximate the hyperspectral image to be projected. For the chosen field, the normalized mean squared synthesis error is under 0.01 with just 8 eigenspectra. NMF of hyperspectral astronomical fields better utilizes the CHIP’s capabilities, providing time-efficient and accurate representations of astronomical scenes to be imaged with the WIIT.

Citation Download Citation

Alexander S. Iacchetta, James R. Fienup, David T. Leisawitz, and Matthew R. Bolcar "Nonnegative matrix factorization for efficient hyperspectral image projection", Proc. SPIE 9611, Imaging Spectrometry XX, 96110Y (1 September 2015); https://doi.org/10.1117/12.2188119

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