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In Defense of 3D-Label Stereo

Olsson, Carl LU ; Ulén, Johannes LU and Boykov, Yuri (2013) IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2013 p.1730-1737
Abstract
It is commonly believed that higher order smoothness

should be modeled using higher order interactions. For example,

2nd order derivatives for deformable (active) contours

are represented by triple cliques. Similarly, the 2nd

order regularization methods in stereo predominantly use

MRF models with scalar (1D) disparity labels and triple

clique interactions. In this paper we advocate a largely

overlooked alternative approach to stereo where 2nd order

surface smoothness is represented by pairwise interactions

with 3D-labels, e.g. tangent planes. This general paradigm

has been criticized due to perceived computational complexity

of optimization... (More)
It is commonly believed that higher order smoothness

should be modeled using higher order interactions. For example,

2nd order derivatives for deformable (active) contours

are represented by triple cliques. Similarly, the 2nd

order regularization methods in stereo predominantly use

MRF models with scalar (1D) disparity labels and triple

clique interactions. In this paper we advocate a largely

overlooked alternative approach to stereo where 2nd order

surface smoothness is represented by pairwise interactions

with 3D-labels, e.g. tangent planes. This general paradigm

has been criticized due to perceived computational complexity

of optimization in higher-dimensional label space.

Contrary to popular beliefs, we demonstrate that representing

2nd order surface smoothness with 3D labels leads

to simpler optimization problems with (nearly) submodular

pairwise interactions. Our theoretical and experimental results

demonstrate advantages over state-of-the-art methods

for 2nd order smoothness stereo. (Less)
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Computer Vision and Pattern Recognition (CVPR), 2013 IEEE Conference on
pages
8 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2013
conference location
Portland, Oregon, USA., United States
conference dates
2013-06-23 - 2013-06-28
external identifiers
  • wos:000331094301100
  • scopus:84887358167
ISSN
1063-6919
2163-6648
DOI
10.1109/CVPR.2013.226
language
English
LU publication?
yes
id
0bbd40f9-5373-4cdf-a789-03f470b97e46 (old id 3914799)
alternative location
http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6619070
date added to LUP
2016-04-01 10:02:41
date last changed
2024-04-06 23:44:29
@inproceedings{0bbd40f9-5373-4cdf-a789-03f470b97e46,
  abstract     = {{It is commonly believed that higher order smoothness<br/><br>
should be modeled using higher order interactions. For example,<br/><br>
2nd order derivatives for deformable (active) contours<br/><br>
are represented by triple cliques. Similarly, the 2nd<br/><br>
order regularization methods in stereo predominantly use<br/><br>
MRF models with scalar (1D) disparity labels and triple<br/><br>
clique interactions. In this paper we advocate a largely<br/><br>
overlooked alternative approach to stereo where 2nd order<br/><br>
surface smoothness is represented by pairwise interactions<br/><br>
with 3D-labels, e.g. tangent planes. This general paradigm<br/><br>
has been criticized due to perceived computational complexity<br/><br>
of optimization in higher-dimensional label space.<br/><br>
Contrary to popular beliefs, we demonstrate that representing<br/><br>
2nd order surface smoothness with 3D labels leads<br/><br>
to simpler optimization problems with (nearly) submodular<br/><br>
pairwise interactions. Our theoretical and experimental results<br/><br>
demonstrate advantages over state-of-the-art methods<br/><br>
for 2nd order smoothness stereo.}},
  author       = {{Olsson, Carl and Ulén, Johannes and Boykov, Yuri}},
  booktitle    = {{Computer Vision and Pattern Recognition (CVPR), 2013 IEEE Conference on}},
  issn         = {{1063-6919}},
  language     = {{eng}},
  pages        = {{1730--1737}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{In Defense of 3D-Label Stereo}},
  url          = {{http://dx.doi.org/10.1109/CVPR.2013.226}},
  doi          = {{10.1109/CVPR.2013.226}},
  year         = {{2013}},
}