Method

High Accuracy Optical Flow [HAOF]
http://lmb.informatik.uni-freiburg.de/resources/binaries/

Submitted on 21 Feb. 2012 18:44 by
Andreas Geiger (MPI Tübingen)

Running time:16.2 s
Environment:1 core @ 2.5 Ghz (C/C++)

Method Description:
We study an energy functional for computing
optical flow that combines three assumptions: a
brightness constancy assumption, a gradient
constancy assumption, and a discontinuity-
preserving spatio-temporal smoothness constraint.
In order to allow for large displacements,
linearisations in the two data terms are strictly
avoided. We present a consistent numerical scheme
based on two nested fixed point iterations. By
proving that this scheme implements a coarse-to-
fine warping strategy, we give a theoretical
foundation for warping which has been used on a
mainly experimental basis so far. Our evaluation
demonstrates that the novel method gives
significantly smaller angular errors than previous
techniques for optical flow estimation. We show
that it is fairly insensitive to parameter
variations, and we demonstrate its excellent
robustness under noise.
Parameters:
default parameters
Latex Bibtex:
@INPROCEEDINGS{Brox04,
author = {Thomas Brox and Andrés Bruhn and Nils
Papenberg and Joachim Weickert},
title = {High accuracy optical flow estimation
based on a theory for warping},
booktitle = {ECCV},
year = {2004}
}

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 38.29 % 45.78 % 11.1 px 18.3 px
3 pixels 35.87 % 43.46 % 11.1 px 18.3 px
4 pixels 34.10 % 41.72 % 11.1 px 18.3 px
5 pixels 32.59 % 40.23 % 11.1 px 18.3 px
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Reflective Regions

This table as LaTeX

Test Image 0

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 61.61 % 67.29 % 20.4 px 27.3 px
3 pixels 59.28 % 65.31 % 20.4 px 27.3 px
4 pixels 57.17 % 63.51 % 20.4 px 27.3 px
5 pixels 54.95 % 61.61 % 20.4 px 27.3 px
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Test Image 1

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 13.52 % 24.32 % 1.7 px 3.4 px
3 pixels 11.01 % 21.09 % 1.7 px 3.4 px
4 pixels 9.44 % 18.63 % 1.7 px 3.4 px
5 pixels 8.42 % 16.82 % 1.7 px 3.4 px
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Test Image 2

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 36.23 % 46.30 % 9.0 px 15.1 px
3 pixels 33.92 % 44.11 % 9.0 px 15.1 px
4 pixels 32.32 % 42.51 % 9.0 px 15.1 px
5 pixels 30.56 % 40.74 % 9.0 px 15.1 px
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Test Image 3

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 33.40 % 44.43 % 6.2 px 12.0 px
3 pixels 30.87 % 42.21 % 6.2 px 12.0 px
4 pixels 28.95 % 40.47 % 6.2 px 12.0 px
5 pixels 27.39 % 39.08 % 6.2 px 12.0 px
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Test Image 4

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 18.00 % 23.92 % 2.0 px 2.9 px
3 pixels 15.44 % 20.55 % 2.0 px 2.9 px
4 pixels 13.82 % 18.11 % 2.0 px 2.9 px
5 pixels 12.41 % 16.50 % 2.0 px 2.9 px
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Test Image 5

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 43.45 % 52.18 % 10.9 px 21.1 px
3 pixels 41.13 % 50.12 % 10.9 px 21.1 px
4 pixels 39.55 % 48.71 % 10.9 px 21.1 px
5 pixels 38.14 % 47.45 % 10.9 px 21.1 px
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Test Image 6

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 21.29 % 31.21 % 4.7 px 8.7 px
3 pixels 18.44 % 28.24 % 4.7 px 8.7 px
4 pixels 16.74 % 25.87 % 4.7 px 8.7 px
5 pixels 15.59 % 23.76 % 4.7 px 8.7 px
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Test Image 7

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 36.03 % 46.64 % 10.6 px 19.8 px
3 pixels 33.06 % 44.17 % 10.6 px 19.8 px
4 pixels 30.94 % 42.35 % 10.6 px 19.8 px
5 pixels 29.11 % 40.71 % 10.6 px 19.8 px
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Test Image 8

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 56.53 % 64.32 % 17.8 px 29.1 px
3 pixels 52.92 % 61.36 % 17.8 px 29.1 px
4 pixels 50.87 % 59.68 % 17.8 px 29.1 px
5 pixels 49.30 % 58.38 % 17.8 px 29.1 px
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Test Image 9

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 41.11 % 50.23 % 9.1 px 17.9 px
3 pixels 36.10 % 46.01 % 9.1 px 17.9 px
4 pixels 32.56 % 43.00 % 9.1 px 17.9 px
5 pixels 29.42 % 40.28 % 9.1 px 17.9 px
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Test Image 10

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 50.55 % 59.27 % 20.0 px 35.5 px
3 pixels 48.29 % 57.42 % 20.0 px 35.5 px
4 pixels 46.65 % 55.88 % 20.0 px 35.5 px
5 pixels 45.21 % 54.69 % 20.0 px 35.5 px
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Test Image 11

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 23.32 % 34.95 % 4.5 px 10.9 px
3 pixels 19.95 % 31.43 % 4.5 px 10.9 px
4 pixels 18.20 % 29.22 % 4.5 px 10.9 px
5 pixels 16.87 % 27.38 % 4.5 px 10.9 px
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Test Image 12

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 30.76 % 41.66 % 7.9 px 17.7 px
3 pixels 28.59 % 39.71 % 7.9 px 17.7 px
4 pixels 26.89 % 38.17 % 7.9 px 17.7 px
5 pixels 25.25 % 36.65 % 7.9 px 17.7 px
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Test Image 13

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 44.21 % 50.96 % 11.7 px 17.6 px
3 pixels 41.63 % 48.68 % 11.7 px 17.6 px
4 pixels 39.50 % 46.78 % 11.7 px 17.6 px
5 pixels 37.71 % 45.15 % 11.7 px 17.6 px
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Test Image 14

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 66.84 % 72.48 % 20.9 px 31.0 px
3 pixels 64.70 % 70.70 % 20.9 px 31.0 px
4 pixels 62.50 % 68.88 % 20.9 px 31.0 px
5 pixels 60.95 % 67.59 % 20.9 px 31.0 px
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Test Image 15

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 49.22 % 58.06 % 15.4 px 28.5 px
3 pixels 47.01 % 56.16 % 15.4 px 28.5 px
4 pixels 45.32 % 54.67 % 15.4 px 28.5 px
5 pixels 43.76 % 53.32 % 15.4 px 28.5 px
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Test Image 16

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 34.34 % 39.76 % 19.2 px 26.4 px
3 pixels 33.39 % 38.69 % 19.2 px 26.4 px
4 pixels 32.50 % 37.81 % 19.2 px 26.4 px
5 pixels 31.60 % 36.94 % 19.2 px 26.4 px
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Test Image 17

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 45.60 % 53.97 % 8.1 px 15.8 px
3 pixels 41.86 % 50.62 % 8.1 px 15.8 px
4 pixels 39.12 % 48.11 % 8.1 px 15.8 px
5 pixels 36.47 % 45.65 % 8.1 px 15.8 px
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Test Image 18

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 30.17 % 37.26 % 5.5 px 9.4 px
3 pixels 27.91 % 35.12 % 5.5 px 9.4 px
4 pixels 26.14 % 33.38 % 5.5 px 9.4 px
5 pixels 24.50 % 31.81 % 5.5 px 9.4 px
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Test Image 19

Error Out-Noc Out-All Avg-Noc Avg-All
2 pixels 30.61 % 38.87 % 5.8 px 9.7 px
3 pixels 28.08 % 36.57 % 5.8 px 9.7 px
4 pixels 26.02 % 34.56 % 5.8 px 9.7 px
5 pixels 24.35 % 32.61 % 5.8 px 9.7 px
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