Method

TV-L1 Optical Flow Estimation [TVL1_ROB]
http://www.ipol.im/pub/art/2013/26/

Submitted on 26 Mar. 2018 17:30 by
Alexander Brock (HCI)

Running time:3 s
Environment:4 cores @ 2.5 Ghz (C/C++)

Method Description:
(Baseline submission for the robust vision flow challenge)

This article describes an implementation of the optical flow estimation method introduced by Zach, Pock and Bischof in 2007. This method is based on the minimization of a functional containing a data term using the L1 norm and a regularization term using the total variation of the flow. The main feature of this formulation is that it allows discontinuities in the flow field, while being more robust to noise than the classical approach of Horn and Schunck. The algorithm is an efficient numerical scheme, which solves a relaxed version of the problem by alternate minimization.
Parameters:
Default parameters as implemented by the authors of the method.
Latex Bibtex:
@article{ipol.2013.26,
title = {{TV-L1 Optical Flow Estimation}},
author = {Sánchez Pérez, Javier and Meinhardt-Llopis, Enric and Facciolo, Gabriele},
journal = {{Image Processing On Line}},
volume = {3},
pages = {137--150},
year = {2013},
doi = {10.5201/ipol.2013.26},
}

Detailed Results

This page provides detailed results for the method(s) selected. For the first 20 test images, the percentage of erroneous pixels is depicted in the table. We use the error metric described in Object Scene Flow for Autonomous Vehicles (CVPR 2015), which considers a pixel to be correctly estimated if the disparity or flow end-point error is <3px or <5% (for scene flow this criterion needs to be fulfilled for both disparity maps and the flow map). Underneath, the left input image, the estimated results and the error maps are shown (for disp_0/disp_1/flow/scene_flow, respectively). The error map uses the log-color scale described in Object Scene Flow for Autonomous Vehicles (CVPR 2015), depicting correct estimates (<3px or <5% error) in blue and wrong estimates in red color tones. Dark regions in the error images denote the occluded pixels which fall outside the image boundaries. The false color maps of the results are scaled to the largest ground truth disparity values / flow magnitudes.

Test Set Average

Error Fl-bg Fl-fg Fl-all
All / All 51.15 51.12 51.14
All / Est 51.15 51.12 51.14
Noc / All 42.85 47.99 43.79
Noc / Est 42.85 47.99 43.79
This table as LaTeX

Test Image 0

Error Fl-bg Fl-fg Fl-all
All / All 42.78 95.30 49.99
All / Est 42.78 95.30 49.99
Noc / All 36.00 95.30 44.99
Noc / Est 36.00 95.30 44.99
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 1

Error Fl-bg Fl-fg Fl-all
All / All 31.86 82.02 37.46
All / Est 31.86 82.02 37.46
Noc / All 24.04 82.02 31.20
Noc / Est 24.04 82.02 31.20
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 2

Error Fl-bg Fl-fg Fl-all
All / All 72.17 47.56 70.97
All / Est 72.17 47.56 70.97
Noc / All 66.45 47.56 65.35
Noc / Est 66.45 47.56 65.35
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 3

Error Fl-bg Fl-fg Fl-all
All / All 76.89 96.45 78.70
All / Est 76.89 96.45 78.70
Noc / All 71.78 95.26 73.80
Noc / Est 71.78 95.26 73.80
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 4

Error Fl-bg Fl-fg Fl-all
All / All 58.23 93.90 64.14
All / Est 58.23 93.90 64.14
Noc / All 50.38 93.68 58.48
Noc / Est 50.38 93.68 58.48
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 5

Error Fl-bg Fl-fg Fl-all
All / All 39.50 0.00 35.95
All / Est 39.50 0.00 35.95
Noc / All 30.41 0.00 27.29
Noc / Est 30.41 0.00 27.29
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 6

Error Fl-bg Fl-fg Fl-all
All / All 49.48 0.55 44.32
All / Est 49.48 0.55 44.32
Noc / All 42.52 0.55 37.53
Noc / Est 42.52 0.55 37.53
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 7

Error Fl-bg Fl-fg Fl-all
All / All 2.47 100.00 21.56
All / Est 2.47 100.00 21.56
Noc / All 2.47 100.00 20.71
Noc / Est 2.47 100.00 20.71
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 8

Error Fl-bg Fl-fg Fl-all
All / All 3.35 100.00 21.20
All / Est 3.35 100.00 21.20
Noc / All 3.35 100.00 21.20
Noc / Est 3.35 100.00 21.20
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 9

Error Fl-bg Fl-fg Fl-all
All / All 3.54 99.76 28.13
All / Est 3.54 99.76 28.13
Noc / All 3.54 99.76 28.13
Noc / Est 3.54 99.76 28.13
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 10

Error Fl-bg Fl-fg Fl-all
All / All 46.89 66.05 51.26
All / Est 46.89 66.05 51.26
Noc / All 37.84 66.05 45.17
Noc / Est 37.84 66.05 45.17
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 11

Error Fl-bg Fl-fg Fl-all
All / All 49.01 68.70 52.55
All / Est 49.01 68.70 52.55
Noc / All 41.82 68.67 47.23
Noc / Est 41.82 68.67 47.23
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 12

Error Fl-bg Fl-fg Fl-all
All / All 62.00 75.26 62.90
All / Est 62.00 75.26 62.90
Noc / All 54.75 75.26 56.38
Noc / Est 54.75 75.26 56.38
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 13

Error Fl-bg Fl-fg Fl-all
All / All 59.41 100.00 64.39
All / Est 59.41 100.00 64.39
Noc / All 51.02 100.00 56.72
Noc / Est 51.02 100.00 56.72
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 14

Error Fl-bg Fl-fg Fl-all
All / All 58.62 29.85 58.12
All / Est 58.62 29.85 58.12
Noc / All 50.74 29.85 50.30
Noc / Est 50.74 29.85 50.30
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 15

Error Fl-bg Fl-fg Fl-all
All / All 73.37 73.35 73.37
All / Est 73.37 73.35 73.37
Noc / All 65.99 73.35 66.84
Noc / Est 65.99 73.35 66.84
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 16

Error Fl-bg Fl-fg Fl-all
All / All 61.87 99.22 67.36
All / Est 61.87 99.22 67.36
Noc / All 51.56 99.22 60.13
Noc / Est 51.56 99.22 60.13
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 17

Error Fl-bg Fl-fg Fl-all
All / All 71.66 87.16 73.28
All / Est 71.66 87.16 73.28
Noc / All 64.05 87.16 67.04
Noc / Est 64.05 87.16 67.04
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 18

Error Fl-bg Fl-fg Fl-all
All / All 62.30 100.00 80.21
All / Est 62.30 100.00 80.21
Noc / All 49.65 100.00 63.53
Noc / Est 49.65 100.00 63.53
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 19

Error Fl-bg Fl-fg Fl-all
All / All 70.12 87.85 72.13
All / Est 70.12 87.85 72.13
Noc / All 60.43 87.85 64.40
Noc / Est 60.43 87.85 64.40
This table as LaTeX

Input Image

Flow Result

Flow Error




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