temporal_analysis_forest_cover_using_hmm.ppt

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]

temporal_analysis_forest_cover_using_hmm.ppt

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