Nonlinear unmixing of hyperspectral images: models and algorithms
Not on the map. Why?
Abstract (arXiv)
When considering the problem of unmixing hyperspectral images, most of the literature in the geoscience and image processing areas relies on the widely used linear mixing model (LMM). However, the LMM may be not valid and other nonlinear models need to be considered, for instance, when there are multi-scattering effects or intimate interactions. Consequently, over the last few years, several significant contributions have been proposed to overcome the limitations inherent in the LMM. In this paper, we present an overview of recent advances in nonlinear unmixing modeling.
Key facts. Cited by 27 papers in the map (data through 7 Oct 2026). First posted on arXiv 6 Apr 2013.
Builds on
No reference list yet.
Built on by
Citing papers per year: 2021: 5; 2022: 2; 2023: 6; 2024: 6; 2025: 5; 2026: 3.
27 papers.
Sort:
- 2023Image Processing and Machine Learning for Hyperspectral Unmixing: An Overview and the HySUPP Python Packagecited by 12
- 2021Identifiability-Guaranteed Simplex-Structured Post-Nonlinear Mixture Learning via Autoencodercited by 7
- 2021Using Low-rank Representation of Abundance Maps and Nonnegative Tensor Factorization for Hyperspectral Nonlinear Unmixingcited by 6
- 2021Model-Based Deep Autoencoder Networks for Nonlinear Hyperspectral Unmixingcited by 6
- 2022Fast and Structured Block-Term Tensor Decomposition For Hyperspectral Unmixingcited by 6
- 2024Dual-Branch Subpixel-Guided Network for Hyperspectral Image Classificationcited by 4
- 2021Unrolling PALM for sparse semi-blind source separationcited by 3
- 2023AE-RED: A Hyperspectral Unmixing Framework Powered by Deep Autoencoder and Regularization by Denoisingcited by 3
- 2024Hyperspectral unmixing for Raman spectroscopy via physics-constrained autoencoderscited by 3
- 2025Adaptive Multi-Order Graph Regularized NMF with Dual Sparsity for Hyperspectral Unmixingcited by 3
- 2023Learning Interpretable Deep Disentangled Neural Networks for Hyperspectral Unmixingcited by 2
- 2024Endmember Extraction from Hyperspectral Images Using Self-Dictionary Approach with Linear Programmingcited by 2
15 more
- 2022GAUSS: Guided Encoder-Decoder Architecture for Hyperspectral Unmixing with Spatial Smoothnesscited by 1
- 2023SpACNN-LDVAE: Spatial Attention Convolutional Latent Dirichlet Variational Autoencoder for Hyperspectral Pixel Unmixingcited by 1
- 2025DTU-Net: A Multi-Scale Dilated Transformer Network for Nonlinear Hyperspectral Unmixingcited by 1
- 2021SCA-Net: A Self-Correcting Two-Layer Autoencoder for Hyper-spectral Unmixingcited by 0
- 2023Approximation of radiative transfer for surface spectral featurescited by 0
- 2023Nonlinear Hyperspectral Unmixing based on Multilinear Mixing Model using Convolutional Autoencoderscited by 0
- 2024Deep Nonlinear Hyperspectral Unmixing Using Multi-task Learningcited by 0
- 2024Hyperspectral Unmixing Under Endmember Variability: A Variational Inference Frameworkcited by 0
- 2024Hierarchical Homogeneity-Based Superpixel Segmentation: Application to Hyperspectral Image Analysiscited by 0
- 2025Hyper-spectral Unmixing algorithms for remote compositional surface mapping: a review of the state of the artcited by 0
- 2025SWAN: Self-supervised Wavelet Neural Network for Hyperspectral Image Unmixingcited by 0
- 2025Hyperspectral Unmixing with 3D Convolutional Sparse Coding and Projected Simplex Volume Maximizationcited by 0
- 2026A Variational Latent-Space Framework for Uncertainty-Aware Spectral Image Emulationcited by 0
- 2026Looking into a Pixel by Nonlinear Unmixing -- A Generative Approachcited by 0
- 2026A Deep Equilibrium Network for Hyperspectral Unmixingcited by 0
- 2026A Deep Equilibrium Network for Hyperspectral Unmixing13 Apr 2026
- 2026Looking into a Pixel by Nonlinear Unmixing -- A Generative Approach1 Apr 2026
- 2026A Variational Latent-Space Framework for Uncertainty-Aware Spectral Image Emulation23 Mar 2026
- 2025Hyperspectral Unmixing with 3D Convolutional Sparse Coding and Projected Simplex Volume Maximization5 Dec 2025
- 2025SWAN: Self-supervised Wavelet Neural Network for Hyperspectral Image Unmixing26 Oct 2025
- 2025Hyper-spectral Unmixing algorithms for remote compositional surface mapping: a review of the state of the art18 Jul 2025
- 2025Adaptive Multi-Order Graph Regularized NMF with Dual Sparsity for Hyperspectral Unmixing25 Mar 2025
- 2025DTU-Net: A Multi-Scale Dilated Transformer Network for Nonlinear Hyperspectral Unmixing5 Mar 2025
- 2024Dual-Branch Subpixel-Guided Network for Hyperspectral Image Classification5 Dec 2024
- 2024Hierarchical Homogeneity-Based Superpixel Segmentation: Application to Hyperspectral Image Analysis22 Jul 2024
- 2024Hyperspectral Unmixing Under Endmember Variability: A Variational Inference Framework20 Jul 2024
- 2024Endmember Extraction from Hyperspectral Images Using Self-Dictionary Approach with Linear Programming19 Apr 2024
15 more
- 2024Hyperspectral unmixing for Raman spectroscopy via physics-constrained autoencoders7 Mar 2024
- 2024Deep Nonlinear Hyperspectral Unmixing Using Multi-task Learning5 Feb 2024
- 2023SpACNN-LDVAE: Spatial Attention Convolutional Latent Dirichlet Variational Autoencoder for Hyperspectral Pixel Unmixing17 Nov 2023
- 2023Learning Interpretable Deep Disentangled Neural Networks for Hyperspectral Unmixing3 Oct 2023
- 2023Image Processing and Machine Learning for Hyperspectral Unmixing: An Overview and the HySUPP Python Package18 Aug 2023
- 2023AE-RED: A Hyperspectral Unmixing Framework Powered by Deep Autoencoder and Regularization by Denoising1 Jul 2023
- 2023Nonlinear Hyperspectral Unmixing based on Multilinear Mixing Model using Convolutional Autoencoders14 Mar 2023
- 2023Approximation of radiative transfer for surface spectral features6 Feb 2023
- 2022Fast and Structured Block-Term Tensor Decomposition For Hyperspectral Unmixing8 May 2022
- 2022GAUSS: Guided Encoder-Decoder Architecture for Hyperspectral Unmixing with Spatial Smoothness16 Apr 2022
- 2021Unrolling PALM for sparse semi-blind source separation10 Dec 2021
- 2021Identifiability-Guaranteed Simplex-Structured Post-Nonlinear Mixture Learning via Autoencoder16 Jun 2021
- 2021Model-Based Deep Autoencoder Networks for Nonlinear Hyperspectral Unmixing17 Apr 2021
- 2021Using Low-rank Representation of Abundance Maps and Nonnegative Tensor Factorization for Hyperspectral Nonlinear Unmixing30 Mar 2021
- 2021SCA-Net: A Self-Correcting Two-Layer Autoencoder for Hyper-spectral Unmixing10 Feb 2021
- 2023Image Processing and Machine Learning for Hyperspectral Unmixing: An Overview and the HySUPP Python Packagecited by 12
- 2021Identifiability-Guaranteed Simplex-Structured Post-Nonlinear Mixture Learning via Autoencodercited by 7
- 2021Using Low-rank Representation of Abundance Maps and Nonnegative Tensor Factorization for Hyperspectral Nonlinear Unmixingcited by 6
- 2021Model-Based Deep Autoencoder Networks for Nonlinear Hyperspectral Unmixingcited by 6
- 2022Fast and Structured Block-Term Tensor Decomposition For Hyperspectral Unmixingcited by 6
- 2024Dual-Branch Subpixel-Guided Network for Hyperspectral Image Classificationcited by 4
- 2021Unrolling PALM for sparse semi-blind source separationcited by 3
- 2023AE-RED: A Hyperspectral Unmixing Framework Powered by Deep Autoencoder and Regularization by Denoisingcited by 3
- 2024Hyperspectral unmixing for Raman spectroscopy via physics-constrained autoencoderscited by 3
- 2025Adaptive Multi-Order Graph Regularized NMF with Dual Sparsity for Hyperspectral Unmixingcited by 3
- 2023Learning Interpretable Deep Disentangled Neural Networks for Hyperspectral Unmixingcited by 2
- 2024Endmember Extraction from Hyperspectral Images Using Self-Dictionary Approach with Linear Programmingcited by 2
12 most cited of 27 All 27 (JSON)
- 2026A Deep Equilibrium Network for Hyperspectral Unmixing13 Apr 2026
- 2026Looking into a Pixel by Nonlinear Unmixing -- A Generative Approach1 Apr 2026
- 2026A Variational Latent-Space Framework for Uncertainty-Aware Spectral Image Emulation23 Mar 2026
- 2025Hyperspectral Unmixing with 3D Convolutional Sparse Coding and Projected Simplex Volume Maximization5 Dec 2025
- 2025SWAN: Self-supervised Wavelet Neural Network for Hyperspectral Image Unmixing26 Oct 2025
- 2025Hyper-spectral Unmixing algorithms for remote compositional surface mapping: a review of the state of the art18 Jul 2025
- 2025Adaptive Multi-Order Graph Regularized NMF with Dual Sparsity for Hyperspectral Unmixing25 Mar 2025
- 2025DTU-Net: A Multi-Scale Dilated Transformer Network for Nonlinear Hyperspectral Unmixing5 Mar 2025
- 2024Dual-Branch Subpixel-Guided Network for Hyperspectral Image Classification5 Dec 2024
- 2024Hierarchical Homogeneity-Based Superpixel Segmentation: Application to Hyperspectral Image Analysis22 Jul 2024
- 2024Hyperspectral Unmixing Under Endmember Variability: A Variational Inference Framework20 Jul 2024
- 2024Endmember Extraction from Hyperspectral Images Using Self-Dictionary Approach with Linear Programming19 Apr 2024
12 newest of 27 All 27 (JSON)