Nonnegative CP decomposition of multiangle hyperspectral data: A case study on CRISM observations of Martian ICY surface

The Compact Reconnaissance Imaging Spectrometer for Mars (CRISM) sensor aboard the Mars Reconnaissance Orbiter takes hyperspectral multiangle acquisitions of Martian surface from the top of the atmosphere (TOA) on visible and infrared wavelengths. The Multiangle Approach for Retrieval of Surface Reflectance from CRISM Observations (MARS-ReCO) defined an innovative TOA radiance model and inversion scheme aimed at correcting for aerosols effects taking advantage of the near-simultaneous multiangle CRISM observations. Here, we aim to provide validation evidence of MARS-ReCO by unmixing the estimated multiangle bidirectional reflectance (BRF) from highly reflective and anisotropic icy surfaces at high latitudes with grazing illumination, using a nonnegative CP decomposition. Obtained results are in accordance with other complementary studies, which compose a collaboration effort to validate MARS-ReCO through the cross-validation of different techniques in the absence of ground truth.

[1]  Pierre Comon,et al.  Uniqueness of Nonnegative Tensor Approximations , 2014, IEEE Transactions on Information Theory.

[2]  Sylvain Douté,et al.  Multi-angle approach for coherent retrieval of surface reflectance and aerosol optical depth from crism observations , 2015, 2015 IEEE International Geoscience and Remote Sensing Symposium (IGARSS).

[3]  Jocelyn Chanussot,et al.  Nonnegative Tensor CP Decomposition of Hyperspectral Data , 2016, IEEE Transactions on Geoscience and Remote Sensing.

[4]  Pierre Comon,et al.  Nonnegative approximations of nonnegative tensors , 2009, ArXiv.

[5]  F. L. Hitchcock.  The Expression of a Tensor or a Polyadic as a Sum of Products , 1927 .

[6]  Jocelyn Chanussot,et al.  Multilinear spectral unmixing of hyperspectral multiangle images , 2015, 2015 23rd European Signal Processing Conference (EUSIPCO).

[7]  J. Fernando,et al.  Surface reflectance of Mars observed by CRISM/MRO: 2. Estimation of surface photometric properties in Gusev Crater and Meridiani Planum , 2013, 1303.4549.

[8]  Hairong Qi,et al.  Endmember Extraction From Highly Mixed Data Using Minimum Volume Constrained Nonnegative Matrix Factorization , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[9]  Pierre Comon,et al.  Fast Decomposition of Large Nonnegative Tensors , 2015, IEEE Signal Processing Letters.

[10]  Pierre Comon,et al.  Tensors : A brief introduction , 2014, IEEE Signal Processing Magazine.

[11]  H. Kiers.  Towards a standardized notation and terminology in multiway analysis , 2000 .

[12]  Andrzej Cichocki,et al.  Nonnegative Matrix and Tensor Factorizations : An algorithmic perspective , 2014, IEEE Signal Processing Magazine.

[13]  Alexei Lyapustin,et al.  Surface reflectance of Mars observed by CRISM/MRO: 1. Multi‐angle Approach for Retrieval of Surface Reflectance from CRISM observations (MARS‐ReCO) , 2013 .