Outline. Merging GNSS Kinematic Tracks - using the TanDEM-X mission in Africa. R.M.S. Fernandes Jorge Santos Detlev Kosmann.

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Merging GNSS Kinematic Tracks - using the TanDEM-X mission in Africa R.M.S. Fernandes Jorge Santos Detlev Kosmann UBI, IDL, CGUL, Portugal DEOS, The Netherlands INESCC, Portugal DLR, Germany RCMRD, Kenya BRRI, Ghana FIG 2010 Sydney, Australia 15 April 2010 1 Objective Tandem-X in Africa Planning Execution Processing Issues Examples Concluding Remarks Outline FIG 2010 Sydney, Australia 15 April 2010 2 Sydney, Australia, 11 16 April 2010 1

Objective Use of the Tandem-X missions in Africa to develop automatic procedures to merge single GNSS kinematic tracks Why Tandem-X? Why Africa? SEGAL (Portugal) has doing intense collaborative projects in Africa and has privileged relations with many Institutions in Africa. In this project, we worked together with: RCMRD Kenya BRRI - Ghana Due to logistical and security constraints, double tracks were measured in the African tracks. Major Advantage: Redundancy!!!! But: The double tracks needed to be merged into a single track as final product. Automatic Procedures necessary due to the huge amount of collected data FIG 2010 Sydney, Australia 15 April 2010 3 Planned - Southern Africa Southern Africa: Dar-Es-Salaam (Tanzania) to Luanda (Angola) 2 Tracks: 1. Tanzania & Zambia 2. Angola Dar es Salaam Km Iringa 490 Mbeya 350 Mpika 480 Saulo 460 Solwezi 400 Mbuya (Border) 380 Luacano 320 Luena 220 Saurimo 270 Malanje 570 Luanda 390 Final 4330 FIG 2010 Sydney, Australia 15 April 2010 4 Sydney, Australia, 11 16 April 2010 2

Planned - West Africa West Africa: Conakry (Guinea) to N Djamena (Chad) Starting & End Point: Kumasi (Ghana) FIG 2010 Sydney, Australia 15 April 2010 5 Executed - Southern Africa Southern Africa: Dar-Es-Salaam (Tanzania) to Skeleton Coast (Namibia) Starting: Nairobi 4700Km FIG 2010 Sydney, Australia 15 April 2010 6 Sydney, Australia, 11 16 April 2010 3

Executed - West Africa West Africa: Conakry (Guinea) to N Djamena (Chad) Starting & End Point: Kumasi (Ghana) Measured Tracks: 4437 Km FIG 2010 Sydney, Australia 15 April 2010 7 Setup 2 Teams separated by 45m (not always possible) 1h30m survey + 30m synchronizing 12h-14h daily surveys FIG 2010 Sydney, Australia 15 April 2010 8 Sydney, Australia, 11 16 April 2010 4

Measuring... Guinea FIG 2010 Sydney, Australia 15 April 2010 9 Measuring... Zambia FIG 2010 Sydney, Australia 15 April 2010 10 Sydney, Australia, 11 16 April 2010 5

Measuring... Niger FIG 2010 Sydney, Australia 15 April 2010 11 Processing GIPSY-OASIS software Precise Point Positioning (PPP) on kinematic mode For this study, 1sec data was used - Enough for the development and analysis of the automatic procedures 2 Examples: Guinea (dense forest and heavy traffic) Zambia (average conditions w.r.t. obstructions) FIG 2010 Sydney, Australia 15 April 2010 12 Sydney, Australia, 11 16 April 2010 6

Processed Tracks Guinea worst case Parts of the tracks not processed or with major errors on the estimated positions. FIG 2010 Sydney, Australia 15 April 2010 13 Processed Tracks Zambia average situation No major issues observed at large scale FIG 2010 Sydney, Australia 15 April 2010 14 Sydney, Australia, 11 16 April 2010 7

Processed Tracks Zambia average situation Zoom in on Initial part and Final parts of the Track FIG 2010 Sydney, Australia 15 April 2010 15 Google Earth as validation tool? FIG 2010 Sydney, Australia 15 April 2010 16 Sydney, Australia, 11 16 April 2010 8

Filtering Horizontal Criteria to detect jumps in the tracks: IF d >, it was applied the following correction to all following points in the track: their position was offset by the same value in order that the new position for P K+1 is now on the adjusted line (using linear regression) based on the last 6 points at a distance from P K that is the average of the distances between the last 6 points. FIG 2010 Sydney, Australia 15 April 2010 17 Comparison between original and filtered tracks Original Filtered FIG 2010 Sydney, Australia 15 April 2010 18 Sydney, Australia, 11 16 April 2010 9

Comparison between filtered tracks Car 1 Car 2 FIG 2010 Sydney, Australia 15 April 2010 19 Computation of the merged track Delauney triangulation using the vertices of both tracks (2+1; 1+2) Based on Matlab functions FIG 2010 Sydney, Australia 15 April 2010 20 Sydney, Australia, 11 16 April 2010 10

Merged Track (1) FIG 2010 Sydney, Australia 15 April 2010 21 Merged Track (2) FIG 2010 Sydney, Australia 15 April 2010 22 Sydney, Australia, 11 16 April 2010 11

Filtering Vertical Criteria to detect jumps in the tracks: the slope was computed using: IF s > 1.5% or h > 1m, it was applied the following correction to all following points in the track: their height was offset in order that the new height for P K+1 is the value that makes the slope between P K and P K+1 equal to the average slope between the last 6 points. FIG 2010 Sydney, Australia 15 April 2010 23 Filtering Vertical Before FIG 2010 Sydney, Australia 15 April 2010 24 Sydney, Australia, 11 16 April 2010 12

Filtering Vertical After FIG 2010 Sydney, Australia 15 April 2010 25 Vertical Complete Profiles FIG 2010 Sydney, Australia 15 April 2010 26 Sydney, Australia, 11 16 April 2010 13

Filtering Vertical Real Offsets? FIG 2010 Sydney, Australia 15 April 2010 27 Vertical Statistics on the Track Height Differences Minimum: -3.9m Maximum: 0.6m Mean: -1.0m FIG 2010 Sydney, Australia 15 April 2010 28 Sydney, Australia, 11 16 April 2010 14

Concluding Remarks (1/14) The use of double tracks allowed us to have independent check of the quality of the observed (processed tracks). The application of filters are clearly necessary in order to correct the estimated tracks coming from GIPSY. The quality of the final product is dependent of the processing accuracy. Nevertheless, the filtering methodologies here developed independently of the quality of the original tracks. Future plans involve the development of adaptative filters. FIG 2010 Sydney, Australia 15 April 2010 29 Moments... FIG 2010 Sydney, Australia 15 April 2010 30 Sydney, Australia, 11 16 April 2010 15

Moments... FIG 2010 Sydney, Australia 15 April 2010 31 Moments... Thank You FIG 2010 Sydney, Australia 15 April 2010 32 Sydney, Australia, 11 16 April 2010 16