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= Spacecraft Zenith Variations: Comparison of Results = ## page was renamed from Test11STU Comparative Results
## page was renamed from Spacecraft Zenith Variations
## page was renamed from Comparison
= Spacecraft Zenith Variations =
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'''Formal Uncertainty''' == Test Over11 S/T/U Comparative Results ==
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The measures of accuracy are plotted for each test in figures ?? to ?? under Tables and Figures (below).
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'''CompMapVec RMS''' Figure 1 illustrates the minimum uncertainty and RMSs for each test, and at which iteration each minimum occurs. The following patterns are apparent:
 * Test U achieves either the minimum value or within 0.03 cm of the minimum value for every RMS measure in the least number of iterations: 5 to 15 iterations sooner than Test T; and 15 to 20 iterations sooner than Test S (excluding Test S - CompMapVec RMS).
 * Test S consistently gives the largest RMS, with CompMapVec RMS showing no improvement from iterating.
 * CompareOBJ RMS (with and without optimal translation and rotation varies across tests by less than 0.2cm.
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Residuals (Figure 2) maintain a value of approx. 3.1cm through the first 13 iterations, then decrease through the remainder of the first 50 iterations, seemingly forming an asymptote at approximately 1.4cm after approximately 55 iterations.
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Despite the continuing decrease in formal uncertainties, the CompareOBJ RMSs (figure 3) achieve their minima around 1.0cm within the first 10 to 30 iterations and then increase monotonically with iterating, possibly beginning to round off at 2.2cm, a higher value than that achieved with the corresponding tiling step.
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'''CompareOBJ RMS''' CompareOBJ with optimal translation and rotation (figure 4) achieves the minimum values around 0.5cm within 5 to 20 iterations. Increase in RMS is small with further iteration, remaining below 0.7cm.
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With such a differing behavior between CompareOBJ and CompareOBJ with optimal translation and rotation, the tilting and drifting behavior of the bigmap should be investigated.
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== Tables and Figures ==
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'''CompareOBJ With Opt Tran & Rot''' '''Figure 1: Minima'''
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{{attachment:Minima-100-resized.png}}
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'''Figure 2: Formal Uncertainty'''

{{attachment:FormalUncertainty-resized.png}}

'''Figure 3: CompMapVec RMS'''

{{attachment:CompMapVec-resized.png}}

'''Figure 4: CompareOBJ RMS'''

{{attachment:CompareOBJRMS-resized.png}}

'''Figure 5: CompareOBJ With Opt Tran & Rot'''

{{attachment:CompOBJwOptTranRot-resized.png}}
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{{attachment:transitIt20200.png}}
{{attachment:transitIt40200.png}}
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{{attachment:transposedTransitIt20200.png}}
{{attachment:transposedTransitIt40200.png}}
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{{attachment:heatPlot-T11RFS-05stepB020-1cm-4m.png}}
{{attachment:heatPlot-T11RFT-05stepB020-1cm-4m.png}}
{{attachment:heatPlot-T11RFU-05stepB020-1cm-4m.png}}

{{attachment:heatPlot-T11RFS-05stepB040-1cm-4m.png}}
{{attachment:heatPlot-T11RFT-05stepB040-1cm-4m.png}}
{{attachment:heatPlot-T11RFU-05stepB040-1cm-4m.png}}

Spacecraft Zenith Variations

Test Over11 S/T/U Comparative Results

The measures of accuracy are plotted for each test in figures ?? to ?? under Tables and Figures (below).

Figure 1 illustrates the minimum uncertainty and RMSs for each test, and at which iteration each minimum occurs. The following patterns are apparent:

  • Test U achieves either the minimum value or within 0.03 cm of the minimum value for every RMS measure in the least number of iterations: 5 to 15 iterations sooner than Test T; and 15 to 20 iterations sooner than Test S (excluding Test S - CompMapVec RMS).

  • Test S consistently gives the largest RMS, with CompMapVec RMS showing no improvement from iterating.

  • CompareOBJ RMS (with and without optimal translation and rotation varies across tests by less than 0.2cm.

Residuals (Figure 2) maintain a value of approx. 3.1cm through the first 13 iterations, then decrease through the remainder of the first 50 iterations, seemingly forming an asymptote at approximately 1.4cm after approximately 55 iterations.

Despite the continuing decrease in formal uncertainties, the CompareOBJ RMSs (figure 3) achieve their minima around 1.0cm within the first 10 to 30 iterations and then increase monotonically with iterating, possibly beginning to round off at 2.2cm, a higher value than that achieved with the corresponding tiling step.

CompareOBJ with optimal translation and rotation (figure 4) achieves the minimum values around 0.5cm within 5 to 20 iterations. Increase in RMS is small with further iteration, remaining below 0.7cm.

With such a differing behavior between CompareOBJ and CompareOBJ with optimal translation and rotation, the tilting and drifting behavior of the bigmap should be investigated.

Tables and Figures

Figure 1: Minima

Minima-100-resized.png

Figure 2: Formal Uncertainty

FormalUncertainty-resized.png

Figure 3: CompMapVec RMS

CompMapVec-resized.png

Figure 4: CompareOBJ RMS

CompareOBJRMS-resized.png

Figure 5: CompareOBJ With Opt Tran & Rot

CompOBJwOptTranRot-resized.png

Traces Running North_South

transitIt20200.png transitIt40200.png

Traces Running West-East

transposedTransitIt20200.png transposedTransitIt40200.png

Heat Plots

heatPlot-T11RFS-05stepB020-1cm-4m.png heatPlot-T11RFT-05stepB020-1cm-4m.png heatPlot-T11RFU-05stepB020-1cm-4m.png

heatPlot-T11RFS-05stepB040-1cm-4m.png heatPlot-T11RFT-05stepB040-1cm-4m.png heatPlot-T11RFU-05stepB040-1cm-4m.png

Test Over11STU Comparative Results (last edited 2015-12-16 16:45:24 by DianeLambert)