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Spectral Variability in Hyperspectral Data Unmixing: A Comprehensive Review (2001.07307v4)

Published 21 Jan 2020 in eess.IV and eess.SP

Abstract: The spectral signatures of the materials contained in hyperspectral images, also called endmembers (EM), can be significantly affected by variations in atmospheric, illumination or environmental conditions typically occurring within an image. Traditional spectral unmixing (SU) algorithms neglect the spectral variability of the endmembers, what propagates significant mismodeling errors throughout the whole unmixing process and compromises the quality of its results. Therefore, large efforts have been recently dedicated to mitigate the effects of spectral variability in SU. This resulted in the development of algorithms that incorporate different strategies to allow the EMs to vary within a hyperspectral image, using, for instance, sets of spectral signatures known a priori, Bayesian, parametric, or local EM models. Each of these approaches has different characteristics and underlying motivations. This paper presents a comprehensive literature review contextualizing both classic and recent approaches to solve this problem. We give a detailed evaluation of the sources of spectral variability and their effect in image spectra. Furthermore, we propose a new taxonomy that organizes existing works according to a practitioner's point of view, based on the necessary amount of supervision and on the computational cost they require. We also review methods used to construct spectral libraries (which are required by many SU techniques) based on the observed hyperspectral image, as well as algorithms for library augmentation and reduction. Finally, we conclude the paper with some discussions and an outline of possible future directions for the field.

Citations (161)

Summary

  • The paper provides a comprehensive review of techniques designed to address spectral variability, a key challenge in hyperspectral data unmixing that causes mismodeling errors.
  • It categorizes existing approaches into library-based methods (like MESMA, sparse unmixing, machine learning) and blind methods (including local, parametric, and Bayesian approaches) and introduces a new taxonomy.
  • The review highlights the ongoing challenge of balancing algorithm robustness with computational feasibility and discusses practical implications and future research directions such as leveraging machine learning and minimizing parameter sensitivity.

Understanding Spectral Variability in Hyperspectral Data Unmixing

The paper "Spectral Variability in Hyperspectral Data Unmixing: A Comprehensive Review," published in IEEE Geoscience and Remote Sensing Magazine, offers an extensive survey of techniques for addressing spectral variability in hyperspectral data unmixing. The analysis centers on overcoming limitations of traditional spectral unmixing methods that assume constant spectral signatures across different pixels—a premise flawed due to variable atmospheric, illumination, and environmental conditions, which lead to spectral variability. This variability can introduce mismodeling errors that detract from the accuracy of unmixing results.

Overview of Approaches

The paper categorizes approaches into those leveraging predefined spectral libraries and blind methods that estimate endmembers directly from the image. The authors introduce a novel taxonomy to help practitioners navigate the diverse array of solutions based on computational complexity and the level of supervision required.

  1. Library-based Approaches:
    • MESMA and Variants: These algorithms embrace iterative processes to select a combination of predefined endmember signatures from spectral libraries that best reconstruct each pixel. Despite simplicity and implementation ease, these methods can become computationally prohibitive with large libraries.
    • Sparse Unmixing: Here, optimizations favor sparse selections of spectral signatures. While computationally advantageous, their efficacy depends strongly on the choice of regularization and sparse penalties.
    • Machine Learning Algorithms: These techniques seek to learn mappings from mixed pixel spectra to abundances. The resultant models handle spectral variability effectively but often bear a computational burden.
    • Spectral Transformations: Band selection and weighting approaches aim to refine regions of the spectra least affected by variability, providing a preprocessing layer to enhance library-driven unmixing.
  2. Blind Approaches:
    • Local Unmixing: Methods here work by segmenting an image into smaller regions assumed to have constant spectral signatures. They benefit from spatial prior knowledge but demand careful image partitioning.
    • Parametric Models: The endmember spectra in this model depend on a prescribed function of underlying physical parameters. Although flexible, these models often require expertise for setting model parameters.
    • EM-model-free Methods: These utilize robust cost functions to mitigate variability without prescribed endmember models. They offer general-purpose solutions but with limited customization.
    • Bayesian Methods: Here, endmembers are treated as random variables within statistical models. Bayesian estimations offer profound insights but typically entail heavy computational requirements.

Implications and Future Directions

The paper's comprehensive review highlights an ongoing challenge in hyperspectral unmixing—balancing robustness and computational feasibility while addressing spectral variability. As spectral variability is critical in domains such as environmental monitoring, precision agriculture, and space exploration, the implications of achieving accurate unmixing are vast.

  • Practical applications stand to gain significantly from the development of algorithms with minimal parameter tuning, which could expand the adoption of hyperspectral technologies in resource-limited settings.
  • Efficient coupling of unmixing and spectral variability models with machine learning might yield more scalable solutions, particularly for real-time processing.
  • Further exploration into minimizing sensitivity to initial conditions and parameter selections within Bayesian and parametric frameworks may bolster reliability across varied spectral datasets.

Conclusion

The paper elucidates the complexities inherent in hyperspectral data unmixing given spectral variability and bridges the gap between theoretical constructs and practical algorithms. With substantial attention to computational complexity, supervision requirements, and model efficacy, the authors signal promising pathways for refining current approaches and potentially harnessing emerging remote sensing capabilities. Speculative advancements may involve integrating deep learning for improved representation and leveraging cooperative multisource data assimilation for robust parameter estimation under uncertainty.