Method

Calibrated Backprojection Network [KBNet]
https://github.com/alexklwong/calibrated-backprojection-network

Submitted on 4 Oct. 2021 04:10 by
Alex Wong (UCLA)

Running time:0.01 s
Environment:1 core @ 2.5 Ghz (C/C++)

Method Description:
We propose a deep neural network architecture to
infer dense depth from an image and a sparse
point
cloud. It is trained using a video stream and
corresponding synchronized sparse point cloud, as
obtained from a LIDAR or other range sensor,
along
with the intrinsic calibration parameters of the
camera. At inference time, the calibration of the
camera, which can be different than the one used
for
training, is fed as an input to the network along
with the sparse point cloud and a single image.
A Calibrated Backprojection Layer backprojects
each
pixel in the image to three-dimensional space
using
the calibration matrix and a depth feature
descriptor. The resulting 3D positional encoding
is
concatenated with the image descriptor and the
previous layer output to yield the input to the
next
layer of the encoder. A decoder, exploiting skip-
connections, produces a dense depth map. The
resulting Calibrated Backprojection Network, or
KBNet, is trained without supervision.
Parameters:
w_{ph} = 1, w_{co}=0.15, w_{st}=0.95, w_{sz} = 0.6,
and w_{sm} = 0.04
Latex Bibtex:
@inproceedings{wong2021unsupervised,
title={Unsupervised Depth Completion with
Calibrated Backprojection Layers},
author={Wong, Alex and Soatto, Stefano},
booktitle={Proceedings of the IEEE International
Conference on Computer Vision (ICCV)},
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 Sparsity Invariant CNNs (THREEDV 2017), 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 Sparsity Invariant CNNs (THREEDV 2017), 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

iRMSE iMAE RMSE MAE
Error 2.95 1.02 1069.47 256.76
This table as LaTeX

Test Image 0

iRMSE iMAE RMSE MAE
Error 3.47 0.81 1196.95 220.74
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 1

iRMSE iMAE RMSE MAE
Error 3.63 0.87 1043.49 113.52
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 2

iRMSE iMAE RMSE MAE
Error 2.31 1.52 1593.60 504.17
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 3

iRMSE iMAE RMSE MAE
Error 3.61 1.61 733.65 254.43
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Input Image

D1 Result

D1 Error


Test Image 4

iRMSE iMAE RMSE MAE
Error 3.07 1.47 569.18 223.14
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 5

iRMSE iMAE RMSE MAE
Error 4.73 1.01 1231.58 208.74
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 6

iRMSE iMAE RMSE MAE
Error 7.09 1.45 1230.90 225.64
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Input Image

D1 Result

D1 Error


Test Image 7

iRMSE iMAE RMSE MAE
Error 4.51 1.34 1491.55 211.94
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 8

iRMSE iMAE RMSE MAE
Error 2.17 0.71 924.20 191.27
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Input Image

D1 Result

D1 Error


Test Image 9

iRMSE iMAE RMSE MAE
Error 2.65 1.18 1241.54 293.64
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 10

iRMSE iMAE RMSE MAE
Error 2.02 1.38 909.71 427.59
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 11

iRMSE iMAE RMSE MAE
Error 3.05 1.16 1654.76 478.45
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 12

iRMSE iMAE RMSE MAE
Error 7.42 1.75 1100.82 289.96
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 13

iRMSE iMAE RMSE MAE
Error 1.39 0.88 759.86 219.81
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 14

iRMSE iMAE RMSE MAE
Error 2.69 0.89 797.49 171.10
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 15

iRMSE iMAE RMSE MAE
Error 4.73 1.39 705.04 190.35
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 16

iRMSE iMAE RMSE MAE
Error 1.72 0.72 723.54 199.05
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 17

iRMSE iMAE RMSE MAE
Error 1.69 0.75 826.87 212.42
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 18

iRMSE iMAE RMSE MAE
Error 2.49 0.97 983.93 291.68
This table as LaTeX

Input Image

D1 Result

D1 Error


Test Image 19

iRMSE iMAE RMSE MAE
Error 1.35 0.87 961.82 261.43
This table as LaTeX

Input Image

D1 Result

D1 Error




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