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IGARSS 2011, Vancouver, Canada HYPERSPECTRAL UNMIXING USING A NOVEL CONVERSION MODEL Fereidoun A. Mianji, Member, IEEE, Shuang Zhou, Member, IEEE,  Ye Zhang, Member, IEEE Presentation by:  Shuang Zhou School of Electronics and Information Technology Harbin Institute of Technology, Harbin, China
Hyperspectral Unmixing Using a Novel Conversion Model ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
1. Introduction ,[object Object],Fig. 1.1. Spectral variability (a) and mixed-pixel interference (b).
1. Introduction Continue ,[object Object],[object Object],[object Object]
2. Linear Mixture Model (LMM) and Mean-Based Algorithms for Unmixing ,[object Object],[object Object],[object Object],Two main constraints which are often imposed in constrained Linear Spectral Mixture Analysis(LSMA) are  a) abundance sum-to-one constraint (ASC)  b) abundance nonnegativity constraint (ANC).
2. Linear Mixture Model (LMM) and Mean-Based Algorithms for Unmixing  Mean-Based Algorithms for Unmixing ,[object Object],[object Object],[object Object]
2. Linear Mixture Model (LMM) and Mean-Based Algorithms for Unmixing Limitations of Mean-Based Algorithms   ,[object Object],[object Object],[object Object],[object Object]
3. Structure of the Proposed Approach ,[object Object],[object Object],[object Object],[object Object]
3. Structure of the Proposed Approach uccm-SVM
3. Structure of the Proposed Approach uccm-SVM Fig. 3.1. The layout and process flow of uccm-SVM designed for unmixing with a resolution of 1%. Yes No SVM training SVM1: trained for  0% of  “ one” SVM101: t rained for  100% of  “ one” SVM2: trained for  1% of  “ one” 1 - Designating sample  set i  as  “ one” (initial ize with i=1) 2 - Making  synthetic classes using remaining p - 1 training  sample sets (“rest”) Quantification result for “one” in all  pixels (fractional image) … p endmembers: p  training sample set s including  extracted pure  pixel vectors Image Pixel s i> p ? Endmember fractions  rescaling to  unity Next i  (endmember)
4. Data and Experimental Design ,[object Object],[object Object],[object Object],[object Object]
5. Experiments with a Simulated Image Made of Real Hyperspectral Data ,[object Object],We construct the background with sand and concrete and we use roof to implant the targets. A: sand B: concrete C: roof The simulated image is a  1530 pixel vectors (a 51 by  30 hyperspectral image) Fig. 5.1. The simulated image constructed using samples from 3 classes of San Diego.
5. Experiments with a Simulated Image Made of Real Hyperspectral Data  Results Fig. 5.2 Unmixing result for roof by FCLS. Fig. 5.3. Unmixing result for roof by uccm-SVM. We expect to see only 3 peaks, with the amplitue&width of 0.1&15, 0.2&10, and 0.3&5 starting in pixel locations in 300, 750, and 1200, respectively. As can be seen, our method presents a much better result.
5. Experiments with a Simulated Image Made of Real Hyperspectral Data Results ,[object Object],Table 5.1 Comparison of uccm_SVM with FCLS in terms of average square error and computational time. 27.7  158.2  0.0331 1.29 1.19 Uccm-SVM 7.5 N/A 4.82 12.78 4.92 FCLS Test Training Roof Concrete Sand Proccessing time (s) Average square error (%) Technique
6. Experiments with Real Hyperspectral Image with Implanted Mixed Pixels ,[object Object],Fig. 6.1 Two chosen ROIs on Indian Pine hyperspectral image for experiments.
6. Experiments with Real Hyperspectral Image with Implanted Mixed Pixels   Implanting the Border with Mixture of Neighboring Pixels ,[object Object],[object Object],[object Object],Fig. 6.2. Implanting a varying mixture of neighboring pixel vectors in the border line between two adjacent landcover classes
6. Experiments with Real Hyperspectral Image with Implanted Mixed Pixels     Unmixing the Mixed Pixels Implanted in ROI1 Fig. 6.3. (from left to right) True abundance of corn-notill in the border line of ROI1, unmixing results by  FCLS, and unmixing result by uccm-SVM. Table 6.1. Comparison of uccm-SVM with FCLS in terms of average square error and computational time for Indian Pine ROI1. 0.39 85.5 3.16 Uccm-SVM 0.44 N/A 17.01 FCLS Test time (s) Training time (s) Average square error (%) Technique
7. Experiments with Real Hyperspectral image with Many Endmembers ,[object Object],[object Object],[object Object],[object Object],Fig. 7.1. The University of Pavia data set.
7. Experiments with Real Hyperspectral Image with Many Endmembers Results ASE:   uccm-SVM performs better than FCLS on majority of single classes and in ASE average over all sizes of training sets. Computationally:  uccm-SVM is faster than FCLS for low number of training samples and slower for higher numbers. Table. 7.1. Average square error (ASE) for the obtained fractional images using FCLS and uccm-SVM for unmixing of The University of Pavia data set (downsampled).   985.2 511.1 2.35 1.09 1.44 1.16 3.45 0.98 4.12 1.23 3.78 3.89 uccm-SVM 186.3 - 4.45 3.32 2.78 2.23 6.73 0.87 50.1 2.41 8.23 8.47 FCLS 100 94.3 6.9 3.35 1.22 1.89 1.84 5.00 0.82 6.07 1.61 6.60 5.15 uccm-SVM 239.8 - 4.75 4.74 2.81 2.41 6.43 0.91 5.13 3.27 8.24 8.80 FCLS 10 15.5 0.45 4.84 0.69 2.45 2.15 6.15 0.95 6.77 4.45 13.29 6.55 uccm-SVM 223.4 - 5.57 7.75 3.10 2.17 6.01 1.17 6.93 4.04 8.51 10.43 FCLS 2 Test Train Ave. 9 8 7 6 5 4 3 2 1 Time (s) Average square errors (ASE) for classes and also average ASE (%) Method #  Training samples
8. Discussion and Conclusion on the Proposed Approach ,[object Object],[object Object],[object Object],[object Object]
Thanks For Your Attention Shuang Zhou School of Electronics and Information Technology Harbin Institute of Technology, Harbin, China

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Hyperspectral unmixing using novel conversion model.ppt

  • 1. IGARSS 2011, Vancouver, Canada HYPERSPECTRAL UNMIXING USING A NOVEL CONVERSION MODEL Fereidoun A. Mianji, Member, IEEE, Shuang Zhou, Member, IEEE, Ye Zhang, Member, IEEE Presentation by: Shuang Zhou School of Electronics and Information Technology Harbin Institute of Technology, Harbin, China
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  • 9. 3. Structure of the Proposed Approach uccm-SVM
  • 10. 3. Structure of the Proposed Approach uccm-SVM Fig. 3.1. The layout and process flow of uccm-SVM designed for unmixing with a resolution of 1%. Yes No SVM training SVM1: trained for 0% of “ one” SVM101: t rained for 100% of “ one” SVM2: trained for 1% of “ one” 1 - Designating sample set i as “ one” (initial ize with i=1) 2 - Making synthetic classes using remaining p - 1 training sample sets (“rest”) Quantification result for “one” in all pixels (fractional image) … p endmembers: p training sample set s including extracted pure pixel vectors Image Pixel s i> p ? Endmember fractions rescaling to unity Next i (endmember)
  • 11.
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  • 13. 5. Experiments with a Simulated Image Made of Real Hyperspectral Data Results Fig. 5.2 Unmixing result for roof by FCLS. Fig. 5.3. Unmixing result for roof by uccm-SVM. We expect to see only 3 peaks, with the amplitue&width of 0.1&15, 0.2&10, and 0.3&5 starting in pixel locations in 300, 750, and 1200, respectively. As can be seen, our method presents a much better result.
  • 14.
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  • 17. 6. Experiments with Real Hyperspectral Image with Implanted Mixed Pixels Unmixing the Mixed Pixels Implanted in ROI1 Fig. 6.3. (from left to right) True abundance of corn-notill in the border line of ROI1, unmixing results by FCLS, and unmixing result by uccm-SVM. Table 6.1. Comparison of uccm-SVM with FCLS in terms of average square error and computational time for Indian Pine ROI1. 0.39 85.5 3.16 Uccm-SVM 0.44 N/A 17.01 FCLS Test time (s) Training time (s) Average square error (%) Technique
  • 18.
  • 19. 7. Experiments with Real Hyperspectral Image with Many Endmembers Results ASE: uccm-SVM performs better than FCLS on majority of single classes and in ASE average over all sizes of training sets. Computationally: uccm-SVM is faster than FCLS for low number of training samples and slower for higher numbers. Table. 7.1. Average square error (ASE) for the obtained fractional images using FCLS and uccm-SVM for unmixing of The University of Pavia data set (downsampled). 985.2 511.1 2.35 1.09 1.44 1.16 3.45 0.98 4.12 1.23 3.78 3.89 uccm-SVM 186.3 - 4.45 3.32 2.78 2.23 6.73 0.87 50.1 2.41 8.23 8.47 FCLS 100 94.3 6.9 3.35 1.22 1.89 1.84 5.00 0.82 6.07 1.61 6.60 5.15 uccm-SVM 239.8 - 4.75 4.74 2.81 2.41 6.43 0.91 5.13 3.27 8.24 8.80 FCLS 10 15.5 0.45 4.84 0.69 2.45 2.15 6.15 0.95 6.77 4.45 13.29 6.55 uccm-SVM 223.4 - 5.57 7.75 3.10 2.17 6.01 1.17 6.93 4.04 8.51 10.43 FCLS 2 Test Train Ave. 9 8 7 6 5 4 3 2 1 Time (s) Average square errors (ASE) for classes and also average ASE (%) Method # Training samples
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  • 21. Thanks For Your Attention Shuang Zhou School of Electronics and Information Technology Harbin Institute of Technology, Harbin, China