Method

Robust Optical Flow with Sparse Error Reconstrution [RSRS-Flow]


Submitted on 20 May. 2012 04:10 by
Pratim Ghosh (UC Santa Barbara)

Running time:4 min
Environment:1 core @ 2.5 Ghz (Matlab)

Method Description:
This method computes the optical flow using the robust pseudo L1 norm. In addition, it takes into account the errors caused due to gross pixel corruptions, partial occlusion, shading and reflections. The errors are efficiently handled using their sparse nature.
Parameters:
\alpha_u = 1,
\alpha_{g_1} = 0.01,
\alpha_{g_2} = 0.25
Latex Bibtex:
@article{10.1109/TPAMI.2012.103,
author = {Pratim Ghosh and B.S. Manjunath},
title = {Robust Simultaneous Registration and Segmentation with Sparse Error Reconstruction},
journal ={PAMI},
volume = {99},
number = {PrePrints},
issn = {0162-8828},
year = {2012},
doi = {http://doi.ieeecomputersociety.org/10.1109/TPAMI.2012.103},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}

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 22.61 % 31.78 % 6.2 px 12.1 px
3 pixels 20.78 % 29.75 % 6.2 px 12.1 px
4 pixels 19.60 % 28.32 % 6.2 px 12.1 px
5 pixels 18.70 % 27.20 % 6.2 px 12.1 px
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Reflective Regions

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Test Image 0

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 25.49 % 35.96 % 4.2 px 7.9 px
3 pixels 23.25 % 33.64 % 4.2 px 7.9 px
4 pixels 21.44 % 31.59 % 4.2 px 7.9 px
5 pixels 20.10 % 29.96 % 4.2 px 7.9 px
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Test Image 1

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 7.10 % 18.26 % 0.9 px 2.3 px
3 pixels 5.43 % 15.44 % 0.9 px 2.3 px
4 pixels 4.45 % 13.29 % 0.9 px 2.3 px
5 pixels 3.82 % 11.40 % 0.9 px 2.3 px
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Test Image 2

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 16.68 % 29.17 % 2.3 px 5.9 px
3 pixels 14.37 % 26.41 % 2.3 px 5.9 px
4 pixels 12.85 % 24.46 % 2.3 px 5.9 px
5 pixels 11.54 % 22.67 % 2.3 px 5.9 px
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Test Image 3

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 24.18 % 36.73 % 2.8 px 6.8 px
3 pixels 20.91 % 33.95 % 2.8 px 6.8 px
4 pixels 18.57 % 31.91 % 2.8 px 6.8 px
5 pixels 16.76 % 30.24 % 2.8 px 6.8 px
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Test Image 4

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 8.36 % 14.43 % 1.3 px 2.2 px
3 pixels 6.68 % 11.61 % 1.3 px 2.2 px
4 pixels 5.98 % 9.89 % 1.3 px 2.2 px
5 pixels 5.59 % 9.03 % 1.3 px 2.2 px
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Test Image 5

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 19.25 % 31.72 % 4.4 px 12.9 px
3 pixels 17.43 % 29.82 % 4.4 px 12.9 px
4 pixels 16.41 % 28.70 % 4.4 px 12.9 px
5 pixels 15.59 % 27.76 % 4.4 px 12.9 px
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Test Image 6

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 15.72 % 25.97 % 3.5 px 7.3 px
3 pixels 13.83 % 23.64 % 3.5 px 7.3 px
4 pixels 12.71 % 21.47 % 3.5 px 7.3 px
5 pixels 12.17 % 20.12 % 3.5 px 7.3 px
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Test Image 7

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 18.74 % 32.16 % 7.5 px 16.1 px
3 pixels 16.44 % 29.99 % 7.5 px 16.1 px
4 pixels 15.18 % 28.58 % 7.5 px 16.1 px
5 pixels 14.34 % 27.35 % 7.5 px 16.1 px
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Test Image 8

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 33.24 % 45.20 % 8.8 px 18.7 px
3 pixels 31.52 % 43.67 % 8.8 px 18.7 px
4 pixels 30.35 % 42.60 % 8.8 px 18.7 px
5 pixels 29.43 % 41.70 % 8.8 px 18.7 px
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Test Image 9

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 25.53 % 36.81 % 5.6 px 11.2 px
3 pixels 21.04 % 32.66 % 5.6 px 11.2 px
4 pixels 17.67 % 29.41 % 5.6 px 11.2 px
5 pixels 15.32 % 26.91 % 5.6 px 11.2 px
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Test Image 10

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 28.30 % 40.60 % 9.6 px 22.3 px
3 pixels 26.85 % 39.19 % 9.6 px 22.3 px
4 pixels 25.53 % 37.97 % 9.6 px 22.3 px
5 pixels 24.66 % 36.97 % 9.6 px 22.3 px
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Test Image 11

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 10.55 % 24.12 % 1.8 px 5.6 px
3 pixels 7.90 % 21.13 % 1.8 px 5.6 px
4 pixels 6.65 % 19.16 % 1.8 px 5.6 px
5 pixels 5.91 % 17.56 % 1.8 px 5.6 px
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Test Image 12

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 20.19 % 32.68 % 4.0 px 10.9 px
3 pixels 17.90 % 30.50 % 4.0 px 10.9 px
4 pixels 16.15 % 28.79 % 4.0 px 10.9 px
5 pixels 14.40 % 26.96 % 4.0 px 10.9 px
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Test Image 13

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 16.45 % 26.03 % 4.5 px 8.7 px
3 pixels 14.82 % 23.98 % 4.5 px 8.7 px
4 pixels 13.71 % 22.40 % 4.5 px 8.7 px
5 pixels 12.72 % 20.95 % 4.5 px 8.7 px
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Test Image 14

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 42.07 % 51.92 % 12.0 px 21.4 px
3 pixels 40.37 % 50.51 % 12.0 px 21.4 px
4 pixels 39.24 % 49.58 % 12.0 px 21.4 px
5 pixels 38.30 % 48.79 % 12.0 px 21.4 px
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Test Image 15

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 44.01 % 53.77 % 10.2 px 20.9 px
3 pixels 40.80 % 51.02 % 10.2 px 20.9 px
4 pixels 38.23 % 48.80 % 10.2 px 20.9 px
5 pixels 35.90 % 46.81 % 10.2 px 20.9 px
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Test Image 16

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 2.42 % 9.27 % 0.6 px 2.4 px
3 pixels 1.33 % 7.77 % 0.6 px 2.4 px
4 pixels 0.95 % 7.22 % 0.6 px 2.4 px
5 pixels 0.77 % 6.89 % 0.6 px 2.4 px
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Test Image 17

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 25.59 % 37.09 % 3.6 px 10.1 px
3 pixels 22.53 % 34.33 % 3.6 px 10.1 px
4 pixels 20.38 % 32.34 % 3.6 px 10.1 px
5 pixels 18.71 % 30.77 % 3.6 px 10.1 px
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Test Image 18

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 8.25 % 16.04 % 2.1 px 5.0 px
3 pixels 7.92 % 15.20 % 2.1 px 5.0 px
4 pixels 7.71 % 14.66 % 2.1 px 5.0 px
5 pixels 7.53 % 14.38 % 2.1 px 5.0 px
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Test Image 19

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 6.60 % 15.94 % 1.4 px 3.2 px
3 pixels 5.89 % 13.89 % 1.4 px 3.2 px
4 pixels 5.36 % 12.13 % 1.4 px 3.2 px
5 pixels 4.98 % 10.62 % 1.4 px 3.2 px
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