SPOT 123-4-5
GAEL
Geometry Handbook
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GAEL-P135-DOC-001
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20/08/2004
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Look direction of pixel p ..........................................................................................................................34
Look direction and mirror step value (informative)...................................................................................36
4.5 LOOK DIRECTION IN ORBITAL COORDINATE SYSTEM..........................................................................37
The Orbital Coordinate System................................................................................................................37
SPOT123 and SPOT4 - Integration of attitude variations .........................................................................39
Initial attitude values...............................................................................................................................40
SPOT5 – Absolute attitudes......................................................................................................................40
Sign of attitude data.................................................................................................................................41
Attitude interpolation...............................................................................................................................41
Computing look direction.........................................................................................................................42
4.6 LOOK DIRECTION IN TERRESTRIAL COORDINATE SYSTEM...................................................................42
International Terrestrial Reference Frame (ITRF)....................................................................................42
From Orbital Coordinate System to Terrestrial Coordinate System...........................................................43
4.7 LOCATION ON EARTH MODEL ............................................................................................................44
Intersection of look direction with the Earth ellipsoid...............................................................................44
Using a DEM - Algorithm........................................................................................................................47
Using a DEM – Altitude pre-processing...................................................................................................48
5 GENERATION OF LEVEL 2 PRODUCTS – THE INVERSE MODEL............................................50
5.1 PRINCIPLE ........................................................................................................................................50
5.2 THE GEODETIC TO IMAGE PREDICTOR.................................................................................................50
Sampled data (p
i
,q
i
) .................................................................................................................................50
Computing the polynomial predictor........................................................................................................50
Use of the predictor .................................................................................................................................51
5.3 ALGORITHM .....................................................................................................................................51
5.4 USING LEVEL 1B PRODUCTS IN INPUT ................................................................................................53
Rationale.................................................................................................................................................53
Retrieving the pixel location in level 1B image .........................................................................................54
6 PROCESSING OF 1B PRODUCTS......................................................................................................55
6.1 HISTORICAL BACKGROUND ...............................................................................................................55
SISA model..............................................................................................................................................55
CAP model ..............................................................................................................................................55
6.2 GENERATION OF 1B PRODUCTS .........................................................................................................56
6.3 METHOD 1 – SCENE-BASED TRANSFORM (SISA)................................................................................56
Direct transform......................................................................................................................................57
Reverse transform....................................................................................................................................57
6.4 METHOD 2 – SEGMENT-BASED TRANSFORM (CAP) ............................................................................58
1A scene to / from 1A segment..................................................................................................................59
1A segment centered and normalized coordinates.....................................................................................59
Direct transform (1A → 1B).....................................................................................................................60
Reverse transform (1B → 1A)..................................................................................................................60
1B segment centered and normalized coordinates.....................................................................................61
1B scene to / from 1B segment..................................................................................................................61
APPENDIX A - CARTESIAN GEOCENTRIC AND GEODETIC REFERENCE SYSTEMS ..................62
General equations....................................................................................................................................62
Programs – Rights to use .........................................................................................................................62
A.1 FROM CARTESIAN GEOCENTRIC TO GEODETIC REFERENCE SYSTEM ...................................................64
Algorithm ................................................................................................................................................64
Program example ....................................................................................................................................65
A.2 FROM GEODETIC TO CARTESIAN GEOCENTRIC REFERENCE SYSTEM ...................................................67
Algorithm ................................................................................................................................................67
Program example ....................................................................................................................................68
APPENDIX B - COMPUTATION OF INCIDENCE ANGLE ....................................................................70
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