Method

Learning Brightness Transfer Functions for the Joint Recovery of Illumination Changes and Optical [BTF-ILLUM]


Submitted on 7 Mar. 2014 12:04 by
Oliver Demetz (Mathematical Image Analysis Group, Saarland University)

Running time:80 seconds
Environment:1 core @ 3.0 Ghz (C/C++)

Method Description:
Variational optical flow method that also estimates the illumination changes in the scene. These changes are parametrised in a basis that it learned from training image sequences. Our energy functional demands (i) the compensated image intensity to coincide, (ii) the compensated image gradients to match, (iii) second-order smoothness of the flow field, and (iv) first-order smoothness of the illumination coefficients.
Parameters:
alpha=5.2, beta=3, nu=6.25
Latex Bibtex:
@incollection{Demetz2014,
author = {O. Demetz and M. Stoll and S. Volz and J. Weickert and A. Bruhn},
title = {Learning Brightness Transfer Functions for the Joint Recovery of Illumination Changes and Optical Flow},
booktitle = {Computer Vision -- ECCV 2014},
series = {Lecture Notes in Computer Science},
publisher = {Springer},
year = {2014},
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 8.84 % 14.14 % 1.5 px 2.8 px
3 pixels 6.52 % 11.03 % 1.5 px 2.8 px
4 pixels 5.38 % 9.29 % 1.5 px 2.8 px
5 pixels 4.64 % 8.11 % 1.5 px 2.8 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 10.34 % 14.39 % 1.3 px 1.8 px
3 pixels 8.35 % 11.61 % 1.3 px 1.8 px
4 pixels 7.22 % 9.81 % 1.3 px 1.8 px
5 pixels 6.33 % 8.52 % 1.3 px 1.8 px
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Test Image 1

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 5.39 % 9.91 % 0.7 px 0.9 px
3 pixels 3.89 % 7.31 % 0.7 px 0.9 px
4 pixels 2.99 % 5.55 % 0.7 px 0.9 px
5 pixels 2.16 % 3.90 % 0.7 px 0.9 px
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Test Image 2

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 7.36 % 12.43 % 0.8 px 1.3 px
3 pixels 4.26 % 8.72 % 0.8 px 1.3 px
4 pixels 2.91 % 6.61 % 0.8 px 1.3 px
5 pixels 2.27 % 5.45 % 0.8 px 1.3 px
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Test Image 3

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 9.28 % 14.92 % 1.0 px 1.5 px
3 pixels 6.57 % 10.71 % 1.0 px 1.5 px
4 pixels 4.94 % 8.14 % 1.0 px 1.5 px
5 pixels 3.86 % 6.41 % 1.0 px 1.5 px
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Test Image 4

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 4.72 % 6.80 % 0.9 px 1.3 px
3 pixels 2.99 % 4.58 % 0.9 px 1.3 px
4 pixels 2.25 % 3.68 % 0.9 px 1.3 px
5 pixels 1.91 % 3.26 % 0.9 px 1.3 px
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Test Image 5

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 9.64 % 15.19 % 1.5 px 4.3 px
3 pixels 7.74 % 12.82 % 1.5 px 4.3 px
4 pixels 6.70 % 11.49 % 1.5 px 4.3 px
5 pixels 5.94 % 10.56 % 1.5 px 4.3 px
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Test Image 6

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 7.88 % 13.75 % 0.9 px 1.5 px
3 pixels 5.25 % 10.12 % 0.9 px 1.5 px
4 pixels 4.12 % 8.16 % 0.9 px 1.5 px
5 pixels 3.35 % 6.55 % 0.9 px 1.5 px
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Test Image 7

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 13.01 % 19.07 % 2.5 px 6.0 px
3 pixels 10.36 % 16.12 % 2.5 px 6.0 px
4 pixels 8.73 % 14.40 % 2.5 px 6.0 px
5 pixels 7.80 % 13.37 % 2.5 px 6.0 px
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Test Image 8

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 4.92 % 12.78 % 0.9 px 2.4 px
3 pixels 3.55 % 10.61 % 0.9 px 2.4 px
4 pixels 2.79 % 9.27 % 0.9 px 2.4 px
5 pixels 2.33 % 8.37 % 0.9 px 2.4 px
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Test Image 9

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 22.13 % 28.81 % 2.5 px 4.6 px
3 pixels 16.36 % 22.82 % 2.5 px 4.6 px
4 pixels 12.75 % 18.19 % 2.5 px 4.6 px
5 pixels 10.50 % 15.47 % 2.5 px 4.6 px
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Test Image 10

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 6.15 % 12.85 % 0.8 px 1.2 px
3 pixels 4.06 % 9.33 % 0.8 px 1.2 px
4 pixels 3.13 % 7.45 % 0.8 px 1.2 px
5 pixels 2.57 % 6.02 % 0.8 px 1.2 px
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Test Image 11

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 10.85 % 14.99 % 1.3 px 2.7 px
3 pixels 7.51 % 11.05 % 1.3 px 2.7 px
4 pixels 5.76 % 9.05 % 1.3 px 2.7 px
5 pixels 4.48 % 7.60 % 1.3 px 2.7 px
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Test Image 12

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 13.50 % 18.83 % 2.1 px 3.4 px
3 pixels 11.35 % 16.11 % 2.1 px 3.4 px
4 pixels 9.51 % 13.99 % 2.1 px 3.4 px
5 pixels 8.22 % 12.50 % 2.1 px 3.4 px
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Test Image 13

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 12.87 % 17.43 % 2.0 px 2.6 px
3 pixels 10.43 % 14.61 % 2.0 px 2.6 px
4 pixels 9.08 % 12.59 % 2.0 px 2.6 px
5 pixels 8.09 % 10.86 % 2.0 px 2.6 px
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Test Image 14

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 7.44 % 15.10 % 0.7 px 1.6 px
3 pixels 4.57 % 11.18 % 0.7 px 1.6 px
4 pixels 3.24 % 8.83 % 0.7 px 1.6 px
5 pixels 2.57 % 7.48 % 0.7 px 1.6 px
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Test Image 15

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 11.55 % 19.34 % 1.3 px 3.5 px
3 pixels 8.90 % 15.42 % 1.3 px 3.5 px
4 pixels 7.20 % 12.68 % 1.3 px 3.5 px
5 pixels 5.74 % 10.50 % 1.3 px 3.5 px
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Test Image 16

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 1.94 % 7.27 % 0.5 px 0.9 px
3 pixels 0.81 % 5.62 % 0.5 px 0.9 px
4 pixels 0.44 % 4.85 % 0.5 px 0.9 px
5 pixels 0.27 % 4.16 % 0.5 px 0.9 px
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Test Image 17

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 10.23 % 15.93 % 1.3 px 3.8 px
3 pixels 7.73 % 12.96 % 1.3 px 3.8 px
4 pixels 6.35 % 11.15 % 1.3 px 3.8 px
5 pixels 5.30 % 9.92 % 1.3 px 3.8 px
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Test Image 18

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 1.04 % 5.94 % 0.4 px 0.6 px
3 pixels 0.37 % 3.97 % 0.4 px 0.6 px
4 pixels 0.20 % 2.03 % 0.4 px 0.6 px
5 pixels 0.08 % 0.85 % 0.4 px 0.6 px
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Test Image 19

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 4.75 % 7.79 % 0.7 px 1.1 px
3 pixels 3.76 % 6.43 % 0.7 px 1.1 px
4 pixels 3.01 % 5.51 % 0.7 px 1.1 px
5 pixels 2.47 % 4.84 % 0.7 px 1.1 px
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