Journal ArticleDOI
Bidirectional reflectance spectroscopy: 1. Theory
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In this article, an approximate analytic solution for the radiative transfer equation describing particulate surface light scattering, taking into account multiple scattering and mutual shadowing, was derived for the interpretation of reflectance spectroscopy of laboratory surfaces and the photometry of solar system objects.Abstract:
An approximate analytic solution is derived for the radiative transfer equation describing particulate surface light scattering, taking into account multiple scattering and mutual shadowing. Analytical expressions for the following quantities are found: bidirectional reflectance, radiance coefficient and factor, the normal, Bond, hemispherical, and physical albedos, integral phase function and phase integral, and limb-darkening profile. Scattering functions for mixtures can be calculated, as well as corrections for comparisons of experimental transmission or reflection spectra with observational planetary spectra. The theory should be useful for the interpretation of reflectance spectroscopy of laboratory surfaces and the photometry of solar system objects.read more
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Vertex component analysis: a fast algorithm to unmix hyperspectral data
TL;DR: A new method for unsupervised endmember extraction from hyperspectral data, termed vertex component analysis (VCA), which competes with state-of-the-art methods, with a computational complexity between one and two orders of magnitude lower than the best available method.
Journal ArticleDOI
Hyperspectral Unmixing Overview: Geometrical, Statistical, and Sparse Regression-Based Approaches
Jose M. Bioucas-Dias,Antonio Plaza,Nicolas Dobigeon,Mario Parente,Qian Du,Paul D. Gader,Jocelyn Chanussot +6 more
TL;DR: This paper presents an overview of un Mixing methods from the time of Keshava and Mustard's unmixing tutorial to the present, including Signal-subspace, geometrical, statistical, sparsity-based, and spatial-contextual unmixed algorithms.
Book
Theory of Reflectance and Emittance Spectroscopy
TL;DR: In this article, the authors present a review of vector calculus and functions of a complex variable and Fraunhoffer diffraction by a circular hole, and a miscellany of bidirectional reflectances and related quantities.
Journal Article
Spectral unmixing
Nirmal Keshava,John F. Mustard +1 more
TL;DR: The outputs of spectral unmixing, endmember, and abundance estimates are important for identifying the material composition of mixtures and the applicability of models and techniques is highly dependent on the variety of circumstances and factors that give rise to mixed pixels.
Posted Content
Hyperspectral Unmixing Overview: Geometrical, Statistical, and Sparse Regression-Based Approaches
Jose M. Bioucas-Dias,Antonio Plaza,Nicolas Dobigeon,Mario Parente,Qian Du,Paul D. Gader,Jocelyn Chanussot +6 more
TL;DR: An overview of unmixing methods from the time of Keshava and Mustard's tutorial as mentioned in this paper to the present can be found in Section 2.2.1].
References
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Journal ArticleDOI
Light Scattering by Small Particles
H. C. Van de Hulst,V. Twersky +1 more
TL;DR: Light scattering by small particles as mentioned in this paper, Light scattering by Small Particle Scattering (LPS), Light scattering with small particles (LSC), Light Scattering by Small Parts (LSP),
Journal ArticleDOI
Light scattering in planetary atmospheres
James Hansen,Larry D. Travis +1 more
TL;DR: In this paper, a review of scattering theory required for analysis of light reflected by planetary atmospheres is presented, which demonstrates the dependence of single-scattered radiation on the physical properties of the scatterers.
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New contributions to the optics of intensely light-scattering materials.
TL;DR: In this paper, the Gurevic and Judd formulas were derived from the Kubelka-Munk differential equations, and they are exact under the same conditions as in this paper, that is, when the material is perfectly dull and when the light, is perfectly diffused or if it is parallel and hits the specimen under an angle of 60° from normal.
Journal ArticleDOI
Directional Reflectance and Emissivity of an Opaque Surface
TL;DR: In this article, the authors present concepts, terminology, and symbols for specifying and relating directional variations in reflectance and emissivity of an opaque surface element. But their relationship to more familiar concepts, including those of perfectly diffuse and specular reflectance, is not discussed.