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Temporal Analysis of Forest Cover Using a Hidden Markov Model Arnt-Børre Salberg and Øivind Due Trier Norwegian Computing Center Oslo, Norway IGARSS 2011, July 27
Outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Introduction ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Introduction: Change detection ,[object Object],[object Object],[object Object],[object Object],[object Object]
Hidden Markov Model (HMM) ,[object Object],[object Object],[object Object]
Hidden Markov Model (HMM) ,[object Object],[object Object],class 1 class 2 P(1|1) P(2|1) class 3 P(3|1)
Class sequence estimation ,[object Object],[object Object],[object Object]
Most likely class sequence (MLCS) ,[object Object],[object Object],[object Object]
Viterbi algorithm Forest Sparse forest Grass Soil Forest Sparse forest Grass Soil Possible states at time t Possible states at time t +1 Most probable sequence of previous states for each state at time t The best sequence ending at state c, given the observations x 1 , …, x t The probability of jumping from state c to state k (this is dependent on the time interval) The probability of observing the actual observation, given that the state is k
Minimum probability of class error ,[object Object],[object Object],[object Object]
Class transition probabilities ,[object Object],[object Object],[object Object],[object Object]
Clouds ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Data distributions, class transition probabilities, co-registration ,[object Object],[object Object],[object Object],[object Object],[object Object]
Atmospheric disturbance ,[object Object],[object Object],Ground surface reflectance Atmosphere Top of the atmosphere reflectance
Landsat 5 TM images (166/63) Amani, Tanzania 1985-03-09 1986-08-19 1986-06-16 1986-10-06 1987-08-06 1995-02-17 1995-05-24 2008-06-12 2009-11-22 2009-11-06 2009-12-08 2009-07-01 2010-02-10 1995-02-01
Results - Forest cover maps 2010-02-10 1995-02-17 1986-06-16 Worldview-2 2010-03-04 Forest Sparse forest Soil Grass
Results - Forest cover change 2010-02-10 1995-02-17 1986-06-16 1995-02-01 1986-10-06 1986-08-19 2009-07-01 2009-11-22 2009-12-08 WV2 2010-03-25 Clouded observation Clouded observation Clouded observation
Landsat 5 TM images (227-062) Santarém, Brazil 1988-09-04 1989-08-22 1992-07-29 1993-05-29 1995-06-04 1996-07-08 2004-08-31 2005-07-01 2005-07-17 2006-08-05 2007-06-21 2008-06-23 2008-09-11 2009-07-12 2009-07-28
Results - Forest cover maps Santarém, Brazil 2008-06-23 1997-07-27 1986-07-29 2007-06-23
Results - Forest cover change maps Santarém, Brazil 2008-06-23 1997-07-27 1986-07-29 2007-06-23
Multsensor possibilities ,[object Object],[object Object],[object Object]
Temporal forest cover sequence ,[object Object],CLASSES  t  t-1  t+1 y t y t-2  t-2 y t y t+1 y t-1 Optical Optical Optical Optical SAR SAR TIME OBSERVATIONS
Conclusions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Acknowledgements ,[object Object]

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temporal_analysis_forest_cover_using_hmm.ppt

  • 1. Temporal Analysis of Forest Cover Using a Hidden Markov Model Arnt-Børre Salberg and Øivind Due Trier Norwegian Computing Center Oslo, Norway IGARSS 2011, July 27
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9. Viterbi algorithm Forest Sparse forest Grass Soil Forest Sparse forest Grass Soil Possible states at time t Possible states at time t +1 Most probable sequence of previous states for each state at time t The best sequence ending at state c, given the observations x 1 , …, x t The probability of jumping from state c to state k (this is dependent on the time interval) The probability of observing the actual observation, given that the state is k
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15. Landsat 5 TM images (166/63) Amani, Tanzania 1985-03-09 1986-08-19 1986-06-16 1986-10-06 1987-08-06 1995-02-17 1995-05-24 2008-06-12 2009-11-22 2009-11-06 2009-12-08 2009-07-01 2010-02-10 1995-02-01
  • 16. Results - Forest cover maps 2010-02-10 1995-02-17 1986-06-16 Worldview-2 2010-03-04 Forest Sparse forest Soil Grass
  • 17. Results - Forest cover change 2010-02-10 1995-02-17 1986-06-16 1995-02-01 1986-10-06 1986-08-19 2009-07-01 2009-11-22 2009-12-08 WV2 2010-03-25 Clouded observation Clouded observation Clouded observation
  • 18. Landsat 5 TM images (227-062) Santarém, Brazil 1988-09-04 1989-08-22 1992-07-29 1993-05-29 1995-06-04 1996-07-08 2004-08-31 2005-07-01 2005-07-17 2006-08-05 2007-06-21 2008-06-23 2008-09-11 2009-07-12 2009-07-28
  • 19. Results - Forest cover maps Santarém, Brazil 2008-06-23 1997-07-27 1986-07-29 2007-06-23
  • 20. Results - Forest cover change maps Santarém, Brazil 2008-06-23 1997-07-27 1986-07-29 2007-06-23
  • 21.
  • 22.
  • 23.
  • 24.