• Acta Optica Sinica
  • Vol. 39, Issue 4, 0412001 (2019)
Shixin Ma1、*, Chuntong Liu1, Hongcai Li1, Geng Zhang2, and Zhenxin He1
Author Affiliations
  • 1 College of Missile Engineering, Rocket Force University of Engineering, Xi′an, Shaanxi 710025, China
  • 2 Key Laboratory of Spectral Imaging Technology, Xian Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi′an, Shaanxi 710119, China
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    DOI: 10.3788/AOS201939.0412001 Cite this Article Set citation alerts
    Shixin Ma, Chuntong Liu, Hongcai Li, Geng Zhang, Zhenxin He. Feature Extraction Based on Linear Embedding and Tensor Manifold for Hyperspectral Image[J]. Acta Optica Sinica, 2019, 39(4): 0412001 Copy Citation Text show less
    Diagrams of manifold difference. (a) LLE algorithm; (b) GLE algorithm
    Fig. 1. Diagrams of manifold difference. (a) LLE algorithm; (b) GLE algorithm
    Dimensionality reduction frame of tensor manifold
    Fig. 2. Dimensionality reduction frame of tensor manifold
    Indian Pines hyperspectral data. (a) Pseudo-color image; (b) ground-truth map
    Fig. 3. Indian Pines hyperspectral data. (a) Pseudo-color image; (b) ground-truth map
    PaviaU hyperspectral data. (a) Pseudo-color image; (b) ground-truth map
    Fig. 4. PaviaU hyperspectral data. (a) Pseudo-color image; (b) ground-truth map
    Influence of sparse parameters λ on classification performance (Indian Pines data)
    Fig. 5. Influence of sparse parameters λ on classification performance (Indian Pines data)
    Dimensionality reduction performance of Indian Pines data obtained with different algorithms. (a) Ground-truth map; (b) PCA algorithm; (c) MNF algorithm; (d) LLE algorithm; (e) LE algorithm; (f) LPP algorithm; (g) RP algorithm; (h) proposed algorithm
    Fig. 6. Dimensionality reduction performance of Indian Pines data obtained with different algorithms. (a) Ground-truth map; (b) PCA algorithm; (c) MNF algorithm; (d) LLE algorithm; (e) LE algorithm; (f) LPP algorithm; (g) RP algorithm; (h) proposed algorithm
    Dimensionality reduction performance of PaviaU data obtained with different algorithms. (a) Ground-truth map; (b) PCA algorithm; (c) MNF algorithm; (d) LLE algorithm; (e) LE algorithm; (f) LPP algorithm; (g) RP algorithm; (h) proposed algorithm
    Fig. 7. Dimensionality reduction performance of PaviaU data obtained with different algorithms. (a) Ground-truth map; (b) PCA algorithm; (c) MNF algorithm; (d) LLE algorithm; (e) LE algorithm; (f) LPP algorithm; (g) RP algorithm; (h) proposed algorithm
    Projection results obtained with different dimensionality reduction algorithms (Indian Pines data). (a) Original data (band 1 & 2); (b) PCA algorithm; (c) MNF algorithm; (d) LLE algorithm; (e) LE algorithm; (f) LPP algorithm; (g) RP algorithm; (h) proposed algorithm
    Fig. 8. Projection results obtained with different dimensionality reduction algorithms (Indian Pines data). (a) Original data (band 1 & 2); (b) PCA algorithm; (c) MNF algorithm; (d) LLE algorithm; (e) LE algorithm; (f) LPP algorithm; (g) RP algorithm; (h) proposed algorithm
    Classification accuracy of different algorithms obtained at different embedding dimensions. (a) Indian Pines data; (b) PaviaU data
    Fig. 9. Classification accuracy of different algorithms obtained at different embedding dimensions. (a) Indian Pines data; (b) PaviaU data
    DatasetSVM classificationPCAMNFLLELELPPRPLETM
    Indian Pines (M=30)OCA /%76.6983.7471.4468.8879.0981.1685.10
    ACA /%69.2679.7470.0863.5275.4877.9581.96
    PaviaU(M=20)OCA /%92.4693.0985.6782.5893.5690.5695.55
    ACA /%89.0491.9482.1575.9890.5586.9893.93
    Table 1. Classification accuracy of different dimensionality reduction algorithms
    AlgorithmTime complexity
    PCAO(N2D)
    MNFO(2N2D)
    LLEO[NDlb k·lb D+NDk3+DN2+N3]
    LEO[NDlb k·lb D+NDk3+MD2]
    LPPO[NDlb k·lb D+NDk3+2DMN+kMD2]
    RPO(DMN)
    LETMO(t4N4+t2N2D2+2t3N3+2t2N2D+kMD2)
    Table 2. Time complexity of different algorithms
    DataReduced dimensionalityComputation times /s
    PCANMFLLELELPPRPLETM
    Indian Pines100.2730.38644.91213.52013.0650.07942.367
    300.2740.39145.77413.73313.1770.07942.803
    500.2770.40346.26514.21013.3130.09043.116
    PaviaU100.7631.0393633.6112187.6672454.7080.239304.150
    300.8071.0683672.1862193.2032454.8450.294307.489
    500.8111.0853714.5032199.1862454.8960.401310.316
    Table 3. Computation time of different algorithms
    Shixin Ma, Chuntong Liu, Hongcai Li, Geng Zhang, Zhenxin He. Feature Extraction Based on Linear Embedding and Tensor Manifold for Hyperspectral Image[J]. Acta Optica Sinica, 2019, 39(4): 0412001
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