Abundance estimation of solid and liquid mixtures in hyperspectral imagery with albedo-based and kernel-based approaches

Published

September 19, 2016

Author(s)

David W. Allen, Ronald G. Resmini, Robert S. Rand

Abstract

This study investigates methods for characterizing materials that are mixtures of granular solids, or mixtures of liquids, which may be linear or non-linear. Linear mixtures of materials in a scene are often the result of areal mixing, where the pixel size of a sensor is relatively large so they contain patches of different materials within them. Non-linear mixtures are likely to occur with microscopic mixtures of solids, such as mixtures of powders, or mixtures of liquids, or wherever complex scattering of light occurs. This study considers two approaches for use as generalized methods for un-mixing pixels in a scene that may be linear or non-linear. One method is based on earlier studies that indicate non-linear mixtures in reflectance space are approximately linear in albedo space. This method converts reflectance to single-scattering albedo (SSA) according to Hapke theory assuming bidirectional scattering at nadir look angles and uses a constrained linear model on the computed albedo values. The other method is motivated by the same idea, but uses a kernel that seeks to capture the linear behavior of albedo in non-linear mixtures of materials. The behavior of the kernel method can be highly dependent on the value of a parameter, gamma, which provides flexibility for the kernel method to respond to both linear and non-linear phenomena. Our study pays particular attention to this parameter for responding to linear and non-linear mixtures. Laboratory experiments on both granular solids and liquid solutions are performed with scenes of hyperspectral data.

Proceedings Title

Proceedings of SPIE

Issue

Proc. SPIE 9976

Conference Dates

August 29-September 2, 2016

Conference Location

San Diego, CA

Conference Title

Imaging Spectrometry XXI

Pub Type

Conferences

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DOI Link

Keywords

solid and liquid mixtures , hyperspectral imagery , albedo , Hapke theory

Citation

Allen, D. , Resmini, R. and Rand, R. (2016), Abundance estimation of solid and liquid mixtures in hyperspectral imagery with albedo-based and kernel-based approaches, Proceedings of SPIE, San Diego, CA, [online], https://doi.org/10.1117/12.2239253 (Accessed May 5, 2024)