## Method

The Complete Rank Transform: A Tool for Accurate and Morphologically Invariant Matching of Structure [CRTflow]

Submitted on 26 Apr. 2013 18:25 by
Oliver Demetz (Mathematical Image Analysis Group, Saarland University)

 Running time: 18 s Environment: GPU @ 1.0 Ghz (C/C++)

 Method Description: TV-L1-type variational optical flow method with a data term based on the complete rank transform. Parameters: \alpha=0.05 Latex Bibtex: @inproceedings{Demetz2013,author={O. Demetz and D. Hafner and J. Weickert},title={The Complete Rank Transform: A Tool for Accurate and Morphologically Invariant Matching of Structure},booktitle={Proc.~British Machine Vision Conference 2013 (BMVC)},year={2013},note={to appear}}

## Detailed Results

This page provides detailed results for the method(s) selected. For each of the first 20 test images, the number of erroneous pixels at all thresholds is depicted in the table. Underneath, the left input image, the disparity / end-point error map and the estimated (and interpolated) disparity / optical flow map are shown. The error map scales linearly between 0 (black) and >=5 (white) pixels error. Red denotes all occluded pixels, falling outside the image boundaries. The false color map is scaled to the largest ground truth disparity / flow value.

## Test Set Average

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 13.11 % 22.83 % 2.7 px 6.5 px 3 pixels 9.43 % 18.72 % 2.7 px 6.5 px 4 pixels 7.79 % 16.51 % 2.7 px 6.5 px 5 pixels 6.86 % 15.06 % 2.7 px 6.5 px
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## Test Image 0

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 14.33 % 25.12 % 2.6 px 5.7 px 3 pixels 11.95 % 22.18 % 2.6 px 5.7 px 4 pixels 10.51 % 20.13 % 2.6 px 5.7 px 5 pixels 9.52 % 18.49 % 2.6 px 5.7 px
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## Test Image 1

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 9.23 % 18.93 % 1.1 px 2.0 px 3 pixels 6.10 % 14.77 % 1.1 px 2.0 px 4 pixels 4.67 % 11.93 % 1.1 px 2.0 px 5 pixels 3.69 % 9.72 % 1.1 px 2.0 px
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## Test Image 2

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 10.64 % 23.30 % 1.0 px 3.0 px 3 pixels 6.54 % 18.67 % 1.0 px 3.0 px 4 pixels 4.62 % 16.08 % 1.0 px 3.0 px 5 pixels 3.52 % 14.06 % 1.0 px 3.0 px
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## Test Image 3

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 19.33 % 30.94 % 1.7 px 3.8 px 3 pixels 13.05 % 24.37 % 1.7 px 3.8 px 4 pixels 9.82 % 20.52 % 1.7 px 3.8 px 5 pixels 7.71 % 17.50 % 1.7 px 3.8 px
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## Test Image 4

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 9.77 % 12.71 % 1.0 px 1.1 px 3 pixels 4.42 % 6.30 % 1.0 px 1.1 px 4 pixels 2.10 % 3.44 % 1.0 px 1.1 px 5 pixels 1.18 % 2.23 % 1.0 px 1.1 px
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## Test Image 5

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 12.54 % 25.28 % 2.9 px 9.4 px 3 pixels 8.97 % 21.52 % 2.9 px 9.4 px 4 pixels 7.68 % 19.78 % 2.9 px 9.4 px 5 pixels 7.00 % 18.46 % 2.9 px 9.4 px
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## Test Image 6

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 12.97 % 20.81 % 1.3 px 2.6 px 3 pixels 7.90 % 14.68 % 1.3 px 2.6 px 4 pixels 5.58 % 11.01 % 1.3 px 2.6 px 5 pixels 4.50 % 9.30 % 1.3 px 2.6 px
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## Test Image 7

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 17.63 % 29.36 % 2.9 px 7.9 px 3 pixels 11.85 % 23.50 % 2.9 px 7.9 px 4 pixels 9.14 % 20.15 % 2.9 px 7.9 px 5 pixels 7.59 % 17.74 % 2.9 px 7.9 px
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## Test Image 8

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 11.55 % 26.54 % 3.0 px 10.0 px 3 pixels 9.52 % 24.40 % 3.0 px 10.0 px 4 pixels 8.57 % 23.18 % 3.0 px 10.0 px 5 pixels 7.97 % 22.10 % 3.0 px 10.0 px
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## Test Image 9

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 22.68 % 32.48 % 3.4 px 7.6 px 3 pixels 16.98 % 26.47 % 3.4 px 7.6 px 4 pixels 13.55 % 22.53 % 3.4 px 7.6 px 5 pixels 11.20 % 19.68 % 3.4 px 7.6 px
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## Test Image 10

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 14.82 % 28.83 % 3.9 px 13.9 px 3 pixels 11.38 % 25.41 % 3.9 px 13.9 px 4 pixels 9.68 % 23.26 % 3.9 px 13.9 px 5 pixels 8.67 % 21.71 % 3.9 px 13.9 px
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## Test Image 11

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 13.49 % 25.25 % 1.6 px 4.5 px 3 pixels 8.15 % 19.29 % 1.6 px 4.5 px 4 pixels 5.80 % 15.98 % 1.6 px 4.5 px 5 pixels 4.54 % 13.57 % 1.6 px 4.5 px
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## Test Image 12

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 12.01 % 24.11 % 2.2 px 6.3 px 3 pixels 9.47 % 20.96 % 2.2 px 6.3 px 4 pixels 8.13 % 18.71 % 2.2 px 6.3 px 5 pixels 7.14 % 16.96 % 2.2 px 6.3 px
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## Test Image 13

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 12.99 % 21.70 % 2.2 px 7.8 px 3 pixels 8.93 % 17.21 % 2.2 px 7.8 px 4 pixels 6.89 % 14.65 % 2.2 px 7.8 px 5 pixels 6.10 % 13.00 % 2.2 px 7.8 px
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## Test Image 14

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 22.06 % 34.33 % 5.4 px 12.5 px 3 pixels 17.43 % 29.79 % 5.4 px 12.5 px 4 pixels 15.15 % 27.30 % 5.4 px 12.5 px 5 pixels 14.01 % 25.76 % 5.4 px 12.5 px
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## Test Image 15

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 21.50 % 33.89 % 2.3 px 7.9 px 3 pixels 16.20 % 28.73 % 2.3 px 7.9 px 4 pixels 13.41 % 25.65 % 2.3 px 7.9 px 5 pixels 11.23 % 23.11 % 2.3 px 7.9 px
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## Test Image 16

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 3.91 % 9.73 % 0.7 px 1.6 px 3 pixels 1.55 % 7.11 % 0.7 px 1.6 px 4 pixels 0.80 % 6.00 % 0.7 px 1.6 px 5 pixels 0.49 % 5.46 % 0.7 px 1.6 px
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## Test Image 17

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 10.29 % 22.15 % 1.3 px 5.1 px 3 pixels 7.12 % 18.38 % 1.3 px 5.1 px 4 pixels 5.53 % 16.14 % 1.3 px 5.1 px 5 pixels 4.48 % 14.42 % 1.3 px 5.1 px
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## Test Image 18

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 1.88 % 9.12 % 0.5 px 1.7 px 3 pixels 0.71 % 6.64 % 0.5 px 1.7 px 4 pixels 0.39 % 5.48 % 0.5 px 1.7 px 5 pixels 0.26 % 4.73 % 0.5 px 1.7 px
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## Test Image 19

 Error Out-Noc Out-All Avg-Noc Avg-All 2 pixels 4.80 % 13.00 % 0.8 px 1.7 px 3 pixels 3.22 % 9.79 % 0.8 px 1.7 px 4 pixels 2.48 % 7.35 % 0.8 px 1.7 px 5 pixels 1.98 % 5.89 % 0.8 px 1.7 px
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