Improving the retrieval of water inherent optical properties in noisy hyperspectral data through statistical modeling.

The use of the Mahalanobis distance in a lookup table approach to retrieval of in-water Inherent Optical Properties (IOPs) led to significant improvements in the accuracy of the retrieved IOPs, as high as 50% in some cases, with an average improvement of 20% over a wide range of case II waters. Previous studies have shown that inherent noise in hyperspectral data can cause significant errors in the retrieved IOPs. For LUT-based retrievals that rely on spectrum matching, the particular metric used for spectral comparisons has a significant effect on the accuracy of the results, especially in the presence of noise in the data. In this study, we have compared the Euclidean distance and the Mahalanobis distance as metrics for spectral comparison. In addition to providing justification for the preference of the Mahalanobis Distance over the Euclidean Distance, we have also included a statistical description of noisy hyperspectral data.

[1]  Curtis D. Mobley,et al.  A numerical model for the computation of radiance distributions in natural waters with wind‐roughened surfaces , 1988 .

[2]  Stuart R. Phinn,et al.  Efficient radiative transfer model inversion for remote sensing applications , 2009 .

[3]  K. Carder,et al.  Marine humic and fulvic acids: Their effects on remote sensing of ocean chlorophyll , 1989 .

[4]  Giorgio Dall'Olmo,et al.  Effect of bio-optical parameter variability on the remote estimation of chlorophyll-a concentration in turbid productive waters: experimental results. , 2005, Applied optics.

[5]  Wei Yang,et al.  An Enhanced Three-Band Index for Estimating Chlorophyll-a in Turbid Case-II Waters: Case Studies of Lake Kasumigaura, Japan, and Lake Dianchi, China , 2010, IEEE Geoscience and Remote Sensing Letters.

[6]  Wesley J Moses,et al.  NIR-red reflectance-based algorithms for chlorophyll-a estimation in mesotrophic inland and coastal waters: Lake Kinneret case study. , 2011, Water research.

[7]  Marcos J. Montes,et al.  New algorithm for atmospheric correction of hyperspectral remote sensing data , 2001, SPIE Defense + Commercial Sensing.

[8]  N. L. Johnson,et al.  Multivariate Analysis , 1958, Nature.

[9]  R. Lucke,et al.  Impact of signal-to-noise ratio in a hyperspectral sensor on the accuracy of biophysical parameter estimation in case II waters. , 2012, Optics express.

[10]  R. Bukata,et al.  Optical Properties and Remote Sensing of Inland and Coastal Waters , 1995 .

[11]  Z. Ahmad,et al.  Atmospheric correction algorithm for hyperspectral remote sensing of ocean color from space. , 2000, Applied optics.

[12]  Trijntje Valerie Downes,et al.  Interpretation of hyperspectral remote-sensing imagery by spectrum matching and look-up tables. , 2005, Applied optics.

[13]  L. Prieur,et al.  Analysis of variations in ocean color1 , 1977 .

[14]  P. Mahalanobis On the generalized distance in statistics , 1936 .

[15]  Prieur,et al.  Analysis of variations in ocean color’ , 2000 .

[16]  Y. Zha,et al.  A four-band semi-analytical model for estimating chlorophyll a in highly turbid lakes: The case of Taihu Lake, China , 2009 .

[17]  Michael Corson,et al.  Hyperspectral Imager for the Coastal Ocean: instrument description and first images. , 2011, Applied optics.

[18]  Anatoly A. Gitelson,et al.  The peak near 700 nm on radiance spectra of algae and water: relationships of its magnitude and position with chlorophyll concentration , 1992 .