Method

NccFLow [NccFLow]


Submitted on 9 Apr. 2022 08:53 by
Ren Shuaiqi (SJTU)

Running time:0.04 s
Environment:1 core @ 2.5 Ghz (C/C++)

Method Description:
This paper reveals novel geometric principles of
optical flow based on the insight and detailed
definition of non-occlusion. Then, two novel loss
functions are proposed for the unsupervised
learning of optical flow based on the geometric
principles of non-occlusion. Specifically, after
the occlusion part of the images are masked, the
flowing process of pixels is carefully considered
and geometric constraints are conducted based on
the geometric principles of optical flow. First,
neighboring pixels in the first frame will not
intersect during the pixel displacement to the
second frame. Secondly, when the cluster
containing adjacent four pixels in the first frame
moves to the second frame, no other pixels will
flow into the quadrilateral formed by them.
According to the two geometrical constraints, the
optical flow non-intersection loss and the optical
flow non-blocking loss in the non-occlusion
regions are proposed.
Parameters:
All parameters are listed in the paper.
Latex Bibtex:
@article{wang2021nccflow,
title={NccFlow: Unsupervised Learning of Optical
Flow With Non-occlusion from Geometry},
author={Wang, Guangming and Ren, Shuaiqi and
Wang, Hesheng},
journal={arXiv preprint arXiv:2107.03610},
year={2021}
}

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 8.81 17.36 10.24
All / Est 8.81 17.36 10.24
Noc / All 6.43 14.67 7.93
Noc / Est 6.43 14.67 7.93
This table as LaTeX

Test Image 0

Error Fl-bg Fl-fg Fl-all
All / All 4.16 25.22 7.05
All / Est 4.16 25.22 7.05
Noc / All 4.26 25.22 7.44
Noc / Est 4.26 25.22 7.44
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 1

Error Fl-bg Fl-fg Fl-all
All / All 4.49 15.34 5.70
All / Est 4.49 15.34 5.70
Noc / All 4.51 15.34 5.85
Noc / Est 4.51 15.34 5.85
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 2

Error Fl-bg Fl-fg Fl-all
All / All 7.76 14.46 8.09
All / Est 7.76 14.46 8.09
Noc / All 6.17 14.46 6.65
Noc / Est 6.17 14.46 6.65
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 3

Error Fl-bg Fl-fg Fl-all
All / All 11.95 27.22 13.36
All / Est 11.95 27.22 13.36
Noc / All 9.78 31.93 11.69
Noc / Est 9.78 31.93 11.69
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 4

Error Fl-bg Fl-fg Fl-all
All / All 9.08 35.00 13.38
All / Est 9.08 35.00 13.38
Noc / All 9.22 34.80 14.00
Noc / Est 9.22 34.80 14.00
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 5

Error Fl-bg Fl-fg Fl-all
All / All 9.83 0.00 8.95
All / Est 9.83 0.00 8.95
Noc / All 8.42 0.00 7.55
Noc / Est 8.42 0.00 7.55
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 6

Error Fl-bg Fl-fg Fl-all
All / All 8.21 0.97 7.45
All / Est 8.21 0.97 7.45
Noc / All 6.40 0.97 5.76
Noc / Est 6.40 0.97 5.76
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 7

Error Fl-bg Fl-fg Fl-all
All / All 3.99 48.78 12.76
All / Est 3.99 48.78 12.76
Noc / All 3.99 45.80 11.81
Noc / Est 3.99 45.80 11.81
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 8

Error Fl-bg Fl-fg Fl-all
All / All 3.40 14.59 5.47
All / Est 3.40 14.59 5.47
Noc / All 3.40 14.59 5.47
Noc / Est 3.40 14.59 5.47
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 9

Error Fl-bg Fl-fg Fl-all
All / All 3.91 23.99 9.04
All / Est 3.91 23.99 9.04
Noc / All 3.91 23.99 9.04
Noc / Est 3.91 23.99 9.04
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 10

Error Fl-bg Fl-fg Fl-all
All / All 4.69 12.07 6.38
All / Est 4.69 12.07 6.38
Noc / All 5.08 12.07 6.90
Noc / Est 5.08 12.07 6.90
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 11

Error Fl-bg Fl-fg Fl-all
All / All 4.85 7.35 5.30
All / Est 4.85 7.35 5.30
Noc / All 5.21 7.36 5.65
Noc / Est 5.21 7.36 5.65
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 12

Error Fl-bg Fl-fg Fl-all
All / All 5.27 6.96 5.38
All / Est 5.27 6.96 5.38
Noc / All 3.59 6.96 3.85
Noc / Est 3.59 6.96 3.85
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 13

Error Fl-bg Fl-fg Fl-all
All / All 4.74 15.08 6.01
All / Est 4.74 15.08 6.01
Noc / All 2.72 6.77 3.19
Noc / Est 2.72 6.77 3.19
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 14

Error Fl-bg Fl-fg Fl-all
All / All 3.69 10.74 3.81
All / Est 3.69 10.74 3.81
Noc / All 2.62 10.74 2.79
Noc / Est 2.62 10.74 2.79
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 15

Error Fl-bg Fl-fg Fl-all
All / All 11.46 6.36 11.00
All / Est 11.46 6.36 11.00
Noc / All 8.72 6.36 8.45
Noc / Est 8.72 6.36 8.45
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 16

Error Fl-bg Fl-fg Fl-all
All / All 19.18 25.60 20.12
All / Est 19.18 25.60 20.12
Noc / All 13.46 25.60 15.64
Noc / Est 13.46 25.60 15.64
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 17

Error Fl-bg Fl-fg Fl-all
All / All 7.88 14.76 8.59
All / Est 7.88 14.76 8.59
Noc / All 7.12 14.76 8.11
Noc / Est 7.12 14.76 8.11
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 18

Error Fl-bg Fl-fg Fl-all
All / All 19.16 88.80 52.24
All / Est 19.16 88.80 52.24
Noc / All 12.73 64.42 26.98
Noc / Est 12.73 64.42 26.98
This table as LaTeX

Input Image

Flow Result

Flow Error


Test Image 19

Error Fl-bg Fl-fg Fl-all
All / All 5.44 14.67 6.48
All / Est 5.44 14.67 6.48
Noc / All 5.44 14.67 6.77
Noc / Est 5.44 14.67 6.77
This table as LaTeX

Input Image

Flow Result

Flow Error




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