Mapping Benthic Habitats by Extending Non-Negative Matrix Factorization to Address the Water Column and Seabed Adjacency Effects

Monitoring of coastal areas by remote sensing is an important issue. The interest of using an unmixing method to determine the seabed composition from hyperspectral aerial images of coastal areas is investigated. Unmixing provides both seabed abundances and endmember reflectances. A sub-surface mixing model is presented, based on a recently proposed oceanic radiative transfer model that accounts for seabed adjacency effects in the water column. Two original non-negative matrix factorization (N MF)-based unmixing algorithms, referred to as WADJU M (Water ADJacency UnMixing) and WU M (Water UnMixing, no adjacency effects) are developed, assuming as known the water column bio-optical properties. Simulations show that WADJU M algorithm achieves performance close to that of the N MF-based unmixing of the seabed without any water column, up to 10 m depth. WU M performance is lower and decreases with the depth. The robustness of the algorithms when using erroneous information about the water column bio-optical properties is evaluated. The results show that the abundance estimation is more reliable using WADJU M approach. WADJU M is applied to real data acquired along the French coast; the derived abundance maps of the benthic habitats are discussed and compared to the maps obtained using a fixed spectral library and a least-square (LS) estimation of the seabed mixing coefficients. The results show the relevance of the WADJU M algorithm for the local analysis of the benthic habitats.

[1]  R. Santer,et al.  Adjacency effects on water surfaces: primary scattering approximation and sensitivity study. , 2000, Applied optics.

[2]  Chein-I Chang,et al.  Fully constrained least squares linear spectral mixture analysis method for material quantification in hyperspectral imagery , 2001, IEEE Trans. Geosci. Remote. Sens..

[3]  Giuseppe Zibordi,et al.  Simulation and analysis of adjacency effects in coastal waters: a case study. , 2014, Applied optics.

[4]  Jean-Yves Tourneret,et al.  Hyperspectral Unmixing With Spectral Variability Using a Perturbed Linear Mixing Model , 2015, IEEE Transactions on Signal Processing.

[5]  Jean-Yves Tourneret,et al.  Enhancing Hyperspectral Image Unmixing With Spatial Correlations , 2010, IEEE Transactions on Geoscience and Remote Sensing.

[6]  Maria C. Torres-Madronero,et al.  Underwater unmixing and water optical properties retrieval using HyCIAT , 2009, Optical Engineering + Applications.

[7]  Xinyu Wang,et al.  Blind Hyperspectral Unmixing Considering the Adjacency Effect , 2019, IEEE Transactions on Geoscience and Remote Sensing.

[8]  M. Guillaume,et al.  Regularized estimation of bathymetry and water quality using hyperspectral remote sensing , 2016 .

[9]  A. Sei Analysis of adjacency effects for two Lambertian half‐spaces , 2007 .

[10]  Mireille Guillaume,et al.  Analysis and quantification of seabed adjacency effects in the subsurface upward radiance in shallow waters. , 2019, Optics express.

[11]  John D. Hedley,et al.  Technical note: Simple and robust removal of sun glint for mapping shallow‐water benthos , 2005 .

[12]  Serge Andréfouët,et al.  Spectral reflectance of coral reef bottom-types worldwide and implications for coral reef remote sensing , 2003 .

[13]  Eric J. Hochberg,et al.  Capabilities of remote sensors to classify coral, algae, and sand as pure and mixed spectra , 2003 .

[14]  Yannick Deville,et al.  Inertia-Constrained Pixel-by-Pixel Nonnegative Matrix Factorisation: a Hyperspectral Unmixing Method Dealing with Intra-class Variability , 2017, Remote. Sens..

[15]  Mireille Guillaume,et al.  Minimum Dispersion Constrained Nonnegative Matrix Factorization to Unmix Hyperspectral Data , 2010, IEEE Transactions on Geoscience and Remote Sensing.

[16]  Zhongping Lee,et al.  Effect of spectral band numbers on the retrieval of water column and bottom properties from ocean color data. , 2002, Applied optics.

[17]  Audrey Minghelli-Roman,et al.  Discrimination of coral reflectance spectra in the Red Sea , 2002, Coral Reefs.

[18]  Antonio J. Plaza,et al.  Hyperspectral Unmixing Overview: Geometrical, Statistical, and Sparse Regression-Based Approaches , 2012, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[19]  Guillaume Sicot,et al.  Estimation of the sea bottom spectral reflectance in shallow water with hyperspectral data , 2015, 2015 IEEE International Geoscience and Remote Sensing Symposium (IGARSS).

[20]  C. Mobley,et al.  Hyperspectral remote sensing for shallow waters. 2. Deriving bottom depths and water properties by optimization. , 1999, Applied optics.

[21]  André Morel,et al.  Diffuse reflectance of oceanic shallow waters: influence of water depth and bottom albedo , 1994 .

[22]  Vittorio E. Brando,et al.  Increased spectral resolution enhances coral detection under varying water conditions , 2013 .

[23]  Robert Arnone,et al.  Combined Effect of Reduced Band Number and Increased Bandwidth on Shallow Water Remote Sensing: The Case of WorldView 2 , 2013, IEEE Transactions on Geoscience and Remote Sensing.

[24]  James A. Goodman,et al.  Classification of benthic composition in a coral reef environment using spectral unmixing , 2007 .

[25]  Rob Heylen,et al.  A Multilinear Mixing Model for Nonlinear Spectral Unmixing , 2016, IEEE Transactions on Geoscience and Remote Sensing.

[26]  Chih-Jen Lin,et al.  Projected Gradient Methods for Nonnegative Matrix Factorization , 2007, Neural Computation.

[27]  Mireille Guillaume,et al.  Hyperspectral remote sensing of shallow waters: Considering environmental noise and bottom intra-class variability for modeling and inversion of water reflectance , 2017 .

[28]  David R. Thompson,et al.  Airborne mapping of benthic reflectance spectra with Bayesian linear mixtures , 2017 .

[29]  José M. Bioucas-Dias,et al.  Vertex component analysis: a fast algorithm to unmix hyperspectral data , 2005, IEEE Transactions on Geoscience and Remote Sensing.

[30]  Bertrand Fougnie,et al.  OSOAA: a vector radiative transfer model of coupled atmosphere-ocean system for a rough sea surface application to the estimates of the directional variations of the water leaving reflectance to better process multi-angular satellite sensors data over the ocean. , 2015, Optics express.

[31]  Audrey Minghelli-Roman,et al.  Re-evaluation of the extent of Caulerpa taxifolia development in the northern Mediterranean using airborne spectrographic sensing , 2003 .

[32]  Yannick Deville,et al.  From separability/identifiability properties of bilinear and linear-quadratic mixture matrix factorization to factorization algorithms , 2019, Digit. Signal Process..

[33]  Paul D. Gader,et al.  A Review of Nonlinear Hyperspectral Unmixing Methods , 2014, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[34]  C. Mobley,et al.  Hyperspectral remote sensing for shallow waters. I. A semianalytical model. , 1998, Applied optics.

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

[36]  Stuart R. Phinn,et al.  Environmental and Sensor Limitations in Optical Remote Sensing of Coral Reefs: Implications for Monitoring and Sensor Design , 2012, Remote. Sens..

[37]  Paul Honeine,et al.  Hyperspectral Unmixing in Presence of Endmember Variability, Nonlinearity, or Mismodeling Effects , 2015, IEEE Transactions on Image Processing.

[38]  M. Guillaume,et al.  A Novel Maximum Likelihood Based Method for Mapping Depth and Water Quality from Hyperspectral Remote-sensing Data , 2014 .

[39]  Wojciech M. Klonowski,et al.  Intercomparison of shallow water bathymetry, hydro‐optics, and benthos mapping techniques in Australian and Caribbean coastal environments , 2011 .

[40]  Lian Feng,et al.  Cloud adjacency effects on top-of-atmosphere radiance and ocean color data products: A statistical assessment , 2016 .

[41]  Rob Heylen,et al.  Detecting the Adjacency Effect in Hyperspectral Imagery With Spectral Unmixing Techniques , 2013, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[42]  R. Maniere,et al.  Remote sensing techniques adapted to high resolution mapping of tropical coastal marine ecosystems (coral reefs, seagrass beds and mangrove) , 1998 .

[43]  H. Sebastian Seung,et al.  Learning the parts of objects by non-negative matrix factorization , 1999, Nature.

[44]  Ferran Marqués,et al.  Seabed Mapping in Coastal Shallow Waters Using High Resolution Multispectral and Hyperspectral Imagery , 2018, Remote. Sens..