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Pisa, 30.11.2007 Stefania Matteoli  a Nicola Acito  b Marco Diani  a Giovanni Corsini  a a  Dipartimento di Ingegneria dell’Informazione, Università di Pisa, Pisa, Italy b   Accademia Navale, Livorno, Italy Livorno, 30.04.2010 Hyperspectral Target Detection via Local Background Suppression South of Italy Chapter  Remote Sensing & Image Processing Group
Background - Hyperspectral Target Detection
Outline
Linear Mixing Model (LMM) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Subspace-based target detection scheme original data space ,[object Object],background suppression ,[object Object],residual subspace target detection
Target detection scheme, detection performance Background suppression ,[object Object],noise covariance matrix target residual energy P D  is expected to be an increasing function of  . Target detection
Global background vs local background Global  background subspace Local  background subspace generally Target detection Background suppression
Global background vs local background Global  approach Local  approach ,[object Object],[object Object],[object Object],[object Object],Target detection Background suppression ,[object Object]
Global background estimation : N-S NWHFC SVD all image pixels N-S subspace dimension (Virtual Dimension, VD) basis vectors ,[object Object],[object Object],Target detection Background suppression
Local background estimation : LBSS local neighborhood LBSS ,[object Object],Local Background Subspace Selection ,[object Object],[object Object],LBSS main limitation ,[object Object],[object Object],Target detection Background suppression
Local background estimation : a new algorithm local neighborhood LBSE ,[object Object],[object Object],[object Object],Local Background Subspace  Estimation Statistical hypothesis testing  SVD LBSE local subspace dimension basis vectors Target detection Background suppression
LBSE procedure
Target detection step each considered background basis estimation algorithm (N-S, LBSS, and LBSE) should be embodied in a subspace-based target detector Generalized Matched Filter (GMF) defined in the orthogonal complement of the background subspace N-S LBSS LBSE Background suppression Target detection
Results: 1) LBSE adaptability to spatially variable backgrounds True-color image LBSE  map LBSE  map   histogram urban area: high complexity vegetated rural area: low complexity
Results: 2) Simulation methodology N-S, LBSS, LBSE the scalar value allows to set a desired value of the target residual energy on the orthogonal complement of the N-S estimated subspace ,[object Object],[object Object]
Results: 2) Simulation results (1000 images) Data-set
Results: 2) Simulation (1000 images),  [email_address] D =1 LBSS:  K L BSS  is a user-specified parameter. No criteria exist to set it and several configurations have to be tested in order to assure good performance.
Results: 3) Testing on real data real target detection scenario with ground-truthed targets LBSE histogram ROC curves ,[object Object],[object Object]
Conclusion LBSE ,[object Object],[object Object],being  local , it is able at properly detecting targets with low residual energy w.r.t the global background subspace provides unambiguous results through the automatic computation of a local background dimension for each pixel it is capable of adapting to spatial variations of background complexity within the scene
Pisa, 30.11.2007 Livorno, 30.04.2010 Thanks for your attention! South of Italy Chapter

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Matteoli ieee gold_2010_clean

  • 1. Pisa, 30.11.2007 Stefania Matteoli a Nicola Acito b Marco Diani a Giovanni Corsini a a Dipartimento di Ingegneria dell’Informazione, Università di Pisa, Pisa, Italy b Accademia Navale, Livorno, Italy Livorno, 30.04.2010 Hyperspectral Target Detection via Local Background Suppression South of Italy Chapter Remote Sensing & Image Processing Group
  • 2. Background - Hyperspectral Target Detection
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  • 7. Global background vs local background Global background subspace Local background subspace generally Target detection Background suppression
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  • 13. Target detection step each considered background basis estimation algorithm (N-S, LBSS, and LBSE) should be embodied in a subspace-based target detector Generalized Matched Filter (GMF) defined in the orthogonal complement of the background subspace N-S LBSS LBSE Background suppression Target detection
  • 14. Results: 1) LBSE adaptability to spatially variable backgrounds True-color image LBSE map LBSE map histogram urban area: high complexity vegetated rural area: low complexity
  • 15.
  • 16. Results: 2) Simulation results (1000 images) Data-set
  • 17. Results: 2) Simulation (1000 images), [email_address] D =1 LBSS: K L BSS is a user-specified parameter. No criteria exist to set it and several configurations have to be tested in order to assure good performance.
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  • 20. Pisa, 30.11.2007 Livorno, 30.04.2010 Thanks for your attention! South of Italy Chapter

Notas del editor

  1. As regards background suppression, background subspace can be defined globally over the whole scene, or locally, by considering a neighborhood of each test pixel.
  2. That is the image where the targets have been inserted. The simulation was conducted for several different values both of FI and ALFA:
  3. These are detection results. FAR@PD=1, so the lower the better. Specifically we have plots of FAR vs FI and FAR vs ALFA. Results are in favor of the local approach. The global method (blue curve) manages to perform comparably to the local ones for a value of FI=10dB, but its performance quickly degrades for lower FI. (Of course the performance gets better as ALFA increases). Conversely, the local methods manage to detect the target even if it has very low global residual energy. Specifically, LBSE (red curve) provides the best results in most cases. LBSS exhibits a diversity in performance wrt to the number of neighboring pixels considered, for the selection of which no criteria can be invoked. IN fact, here, several configurations had to be tested so as to get good performance.