#### DMCA

## A robust test for nonlinear mixture detection in hyperspectral images (2013)

Venue: | in Proc. IEEE Int. Conf. Acoust., Speech, and Signal Processing (ICASSP |

Citations: | 4 - 2 self |

### Citations

221 |
A survey of spectral unmixing
- Keshava
- 2003
(Show Context)
Citation Context ...prime interest when analyzing hyperspectral images. Most spectral unmixing (SU) strategies assume that the pixel reflectances are linear combinations of the endmembers [1–5]. However, as explained in =-=[6]-=-, the linear mixing model (LMM) can be inappropriate for some hyperspectral images, such as those containing sand, trees or vegetation areas. Nonlinear mixing models provide an interesting alternative... |

192 | Bioucas-Dias, “Vertex component analysis: a fast algorithm to unmix hyperspectral data
- Nascimento, M
- 2005
(Show Context)
Citation Context ... chosen to evaluate the proposed nonlinearity detector. The scene is mainly composed of water, vegetation, and soil. The corresponding endmembers were estimated by the vertex component analysis (VCA) =-=[16]-=- with R = 3. Fig. 4 shows an example of detection map (for PF A = 10 −3 ) obtained with the proposed detector. It can be seen that nonlinear mixtures are mainly detected in the coastal area and in reg... |

168 | Fully constrained least squares linear spectral mixture analysis method for material quantification in hyperspectral imagery - Heinz, Chang - 2001 |

102 | Hyperspectral unmixing overview: Geometrical, statistical, and sparse regression-based approaches - Bioucas-Dias, Plaza, et al. - 2012 |

87 | Endmember extraction from highly mixed data using minimum volume constrained nonnegative matrix factorization - Miao, Qi - 2007 |

79 | Minimum-volume transforms for remotely sensed data - Craig - 1994 |

67 | Bidirectional reflectance spectroscopy. - Hapke - 1981 |

41 | Unmixing hyperspectral images using a generalized bilinear model
- Halimi, Altmann, et al.
- 2011
(Show Context)
Citation Context ...lows R−1 ∑ µ = ν R∑ i=1 j=i+1 aiajmi ⊙ mj (19) where ν is a scaling factor selected from the set {0.4, 0.5, 0.6, 0.7}. This nonlinearity corresponds to the generalized bilinear model (GBM) studied in =-=[13]-=- with γi,j = ν for all (i, j). The specific form in (19) was chosen so that the impact of the nonlinearity is governed by a single parameter ν. Fig. 1 shows the theoretical and empirical (N = 20000 no... |

33 | Bioucas-Dias, “Nonlinear mixture model for hyperspectral unmixing - Nascimento, M - 2009 |

31 | Comparative study between a new nonlinear model and common linear model for analysing laboratory simulated-forest hyperspectral data,” Remote Sensing of Environment - Fan, Hu, et al. - 2009 |

28 |
Systems Inc.), ENVI User’s guide Version 4.0
- RSI
- 2003
(Show Context)
Citation Context ...ials (green grass, olive green paint and galvanized steel metal) whose spectral signatures mr composed of L = 826 bands have been extracted from the spectral libraries provided with the ENVI software =-=[14]-=-. The abundance vector is fixed to a = [0.3, 0.6, 0.1] T and the noise variance to σ 2 = 10 −3 . The nonlinearity µ is set as follows R−1 ∑ µ = ν R∑ i=1 j=i+1 aiajmi ⊙ mj (19) where ν is a scaling fac... |

24 | Supervised nonlinear spectral unmixing using a post-nonlinear mixing model for hyperspectral images,” Univ
- Altmann, Halimi, et al.
- 2011
(Show Context)
Citation Context ...ixing models provide an interesting alternative for overcoming the inherent limitations of the LMM. Some nonlinear models have been proposed in the literature to handle specific kinds of nonlinearity =-=[7, 8]-=-. For instance, the bidirectional reflectance-based model studied in [9] has been introduced for intimate mixtures. The bilinear models recently studied in [?,?,10–13] mainly focus on scattering effec... |

23 | Nonlinear hyperspectral mixture analysis for tree cover estimates in orchards,” Remote Sensing of Environment - Somers, Cools, et al. - 2009 |

9 | Estimating the number of endmembers in hyperspectral images using the normal compositional model and a hierarchical Bayesian algorithm - Eches, Dobigeon, et al. - 2010 |

9 |
A novel kernel-based nonlinear unmixing scheme of hyperspectral images
- Chen, Richard, et al.
- 2011
(Show Context)
Citation Context ...ixing models provide an interesting alternative for overcoming the inherent limitations of the LMM. Some nonlinear models have been proposed in the literature to handle specific kinds of nonlinearity =-=[7, 8]-=-. For instance, the bidirectional reflectance-based model studied in [9] has been introduced for intimate mixtures. The bilinear models recently studied in [?,?,10–13] mainly focus on scattering effec... |