Spectral Unmixing via Data-guided Sparsity
This work addresses hyperspectral analysis for remote sensing or imaging applications, but it is incremental as it builds on existing sparsity-based methods with adaptive constraints.
The paper tackles the unsupervised hyperspectral unmixing problem by proposing a novel sparsity-based method that uses a data-guided map to adaptively apply constraints, overcoming limitations of prior approaches. The method demonstrates feasibility and high-quality results in extensive experiments on several datasets.
Hyperspectral unmixing, the process of estimating a common set of spectral bases and their corresponding composite percentages at each pixel, is an important task for hyperspectral analysis, visualization and understanding. From an unsupervised learning perspective, this problem is very challenging---both the spectral bases and their composite percentages are unknown, making the solution space too large. To reduce the solution space, many approaches have been proposed by exploiting various priors. In practice, these priors would easily lead to some unsuitable solution. This is because they are achieved by applying an identical strength of constraints to all the factors, which does not hold in practice. To overcome this limitation, we propose a novel sparsity based method by learning a data-guided map to describe the individual mixed level of each pixel. Through this data-guided map, the $\ell_{p}(0<p<1)$ constraint is applied in an adaptive manner. Such implementation not only meets the practical situation, but also guides the spectral bases toward the pixels under highly sparse constraint. What's more, an elegant optimization scheme as well as its convergence proof have been provided in this paper. Extensive experiments on several datasets also demonstrate that the data-guided map is feasible, and high quality unmixing results could be obtained by our method.