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In two-dimensional spectrographs, the optical distortions in the spatial and dispersion directions produce variations in the sub-pixel sampling of the background spectrum. Using knowledge of the camera distortions and the curvature of the…

Astrophysics · Physics 2009-12-08 Daniel D. Kelson

Future space telescopes will directly image extrasolar planets at visible wavelengths. Time-resolved reflected light from an exoplanet encodes information about atmospheric and surface inhomogeneities. Previous research has shown that the…

Earth and Planetary Astrophysics · Physics 2018-09-19 Ben Farr , Will M. Farr , Nicolas B. Cowan , Hal M. Haggard , Tyler Robinson

Hyperspectral images contain mixed pixels due to low spatial resolution of hyperspectral sensors. Mixed pixels are pixels containing more than one distinct material called endmembers. The presence percentages of endmembers in mixed pixels…

Computer Vision and Pattern Recognition · Computer Science 2014-11-04 Roozbeh Rajabi , Hassan Ghassemian

Hyperspectral images contain mixed pixels due to low spatial resolution of hyperspectral sensors. Spectral unmixing problem refers to decomposing mixed pixels into a set of endmembers and abundance fractions. Due to nonnegativity constraint…

Computer Vision and Pattern Recognition · Computer Science 2014-08-13 Roozbeh Rajabi , Hassan Ghassemian

Hyperspectral analysis has gained popularity over recent years as a way to infer what materials are displayed on a picture whose pixels consist of a mixture of spectral signatures. Computing both signatures and mixture coefficients is known…

Optimization and Control · Mathematics 2017-06-29 Adrien Faivre , Clément Dombry

[Abridged] An increasing number of astronomical instruments (on Earth and space-based) provide hyperspectral images, that is three-dimensional data cubes with two spatial dimensions and one spectral dimension. The intrinsic limitation in…

Instrumentation and Methods for Astrophysics · Physics 2021-03-17 Axel Boulais , Olivier Berné , Guillaume Faury , Yannick Deville

The varied surfaces and atmospheres of planets make them interesting places to live, explore, and study from afar. Unfortunately, the great distance to exoplanets makes it impossible to resolve their disk with current or near-term…

Earth and Planetary Astrophysics · Physics 2024-02-01 Nicolas B. Cowan , Yuka Fujii

We propose a new, efficient multi-scale method to decompose a map (or signal in general) into components maps that contain structures of different sizes. In the widely-used wave transform, artifacts containing negative values arise around…

Instrumentation and Methods for Astrophysics · Physics 2022-04-11 Guang-Xing Li

Characterization of topology and dimensionality of spectral feature spaces provides insight into information content. The objective of this study is to characterize topology and spectral dimensionality of spectral mixing spaces representing…

Geophysics · Physics 2023-07-11 Christopher Small , Daniel Sousa

Exploring exoplanets has transformed our understanding of the universe by revealing many planetary systems that defy our current understanding. To study their atmospheres, spectroscopic observations are used to infer essential atmospheric…

Earth and Planetary Astrophysics · Physics 2025-12-19 Flavio Giobergia , Alkis Koudounas , Elena Baralis

Doppler Imaging produces 2D global maps of rotating objects using high-dispersion spectroscopy. When applied to brown dwarfs and extrasolar planets, this technique can constrain global atmospheric dynamics and/or magnetic effects on these…

Solar and Stellar Astrophysics · Physics 2014-07-02 Ian J. M. Crossfield

Mixed pixels are presented in hyperspectral images due to low spatial resolution of hyperspectral sensors. Spectral unmixing decomposes mixed pixels spectra into endmembers spectra and abundance fractions. In this paper using of robust…

Computer Vision and Pattern Recognition · Computer Science 2012-12-06 Roozbeh Rajabi , Hassan Ghassemian

We present a retrieval method based on Bayesian analysis to infer the atmospheric compositions and surface or cloud-top pressures from transmission spectra of exoplanets with general compositions. In this study, we identify what can…

Earth and Planetary Astrophysics · Physics 2012-06-28 Bjoern Benneke , Sara Seager

We map the surface of Pluto using an unsupervised machine learning technique using the near-infrared observations of the LEISA/Ralph instrument onboard NASA's New Horizons spacecraft. The principal component reduced Gaussian mixture model…

Earth and Planetary Astrophysics · Physics 2023-01-18 A. Emran , C. M. Dalle Ore , C. J. Ahrens , M. K. H. Khan , V. F. Chevrier , D. P. Cruikshank

This paper presents a multi-band image fusion algorithm based on unsupervised spectral unmixing for combining a high-spatial low-spectral resolution image and a low-spatial high-spectral resolution image. The widely used linear observation…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Qi Wei , Jose Bioucas-Dias , Nicolas Dobigeon , Jean-Yves Tourneret , Marcus Chen , Simon Godsill

We are using computer models to explore the observational sensitivity to changes in atmospheric and surface properties, and the detectability of biosignatures, in the globally averaged spectra and light-curves of the Earth. Using AIRS…

Astrophysics · Physics 2016-08-30 G. Tinetti , V. S. Meadows , D. Crisp , W. Fong , N. Kiang , E. Fishbein , T. Velusamy , E. Bosc , M. Turnbull

Direct-imaging spectra hold rich information about a planet's atmosphere and surface, and several space-based missions aiming at such observations will become a reality in the near future. Previous spectral retrieval works have resulted in…

Earth and Planetary Astrophysics · Physics 2022-06-01 Fei Wang , Yuka Fujii , Jinping He

We present a novel method to generate a synthetic distribution of objects (mock) on a spherical surface (i.e. a sky), by using a real distribution. The resulting surrogate map mimics the clustering features of the real data, including the…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-09 M. De Domenico , H. Lyberis

Spectral variability in hyperspectral images can result from factors including environmental, illumination, atmospheric and temporal changes. Its occurrence may lead to the propagation of significant estimation errors in the unmixing…

Computer Vision and Pattern Recognition · Computer Science 2020-01-23 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez

One of the challenges in hyperspectral data analysis is the presence of mixed pixels. Mixed pixels are the result of low spatial resolution of hyperspectral sensors. Spectral unmixing methods decompose a mixed pixel into a set of endmembers…

Computer Vision and Pattern Recognition · Computer Science 2015-06-05 Roozbeh Rajabi , Hassan Ghassemian