temporal_analysis_forest_cover_using_hmm.ppt

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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]

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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

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.

temporal_analysis_forest_cover_using_hmm.ppt

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