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Volumetric bias in segmentation and reconstruction : Secrets and solutions

Boykov, Yuri ; Isack, Hossam ; Olsson, Carl LU and Ayed, Ismail Ben (2016) 15th IEEE International Conference on Computer Vision, ICCV 2015 11-18-December-2015. p.1769-1777
Abstract

Many standard optimization methods for segmentation and reconstruction compute ML model estimates for ap- pearance or geometry of segments, e.g. Zhu-Yuille [23], Torr [20], Chan-Vese [6], GrabCut [18], Delong et al. [8]. We observe that the standard likelihood term in these formu- lations corresponds to a generalized probabilistic K-means energy. In learning it is well known that this energy has a strong bias to clusters of equal size [11], which we express as a penalty for KL divergence from a uniform distribution of cardinalities. However, this volumetric bias has been mostly ignored in computer vision. We demonstrate signif- icant artifacts in standard segmentation and reconstruction methods due to this bias. Moreover, we propose... (More)

Many standard optimization methods for segmentation and reconstruction compute ML model estimates for ap- pearance or geometry of segments, e.g. Zhu-Yuille [23], Torr [20], Chan-Vese [6], GrabCut [18], Delong et al. [8]. We observe that the standard likelihood term in these formu- lations corresponds to a generalized probabilistic K-means energy. In learning it is well known that this energy has a strong bias to clusters of equal size [11], which we express as a penalty for KL divergence from a uniform distribution of cardinalities. However, this volumetric bias has been mostly ignored in computer vision. We demonstrate signif- icant artifacts in standard segmentation and reconstruction methods due to this bias. Moreover, we propose binary and multi-label optimization techniques that either (a) remove this bias or (b) replace it by a KL divergence term for any given target volume distribution. Our general ideas apply to continuous or discrete energy formulations in segmenta- tion, stereo, and other reconstruction problems.

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author
; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Proceedings - 2015 IEEE International Conference on Computer Vision, ICCV 2015
volume
11-18-December-2015
article number
7410563
pages
9 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
15th IEEE International Conference on Computer Vision, ICCV 2015
conference location
Santiago, Chile
conference dates
2015-12-11 - 2015-12-18
external identifiers
  • scopus:84973931568
  • wos:000380414100198
ISBN
9781467383912
DOI
10.1109/ICCV.2015.206
language
English
LU publication?
yes
id
632a92cc-920b-48d2-96d0-a523a8a2b1bc
date added to LUP
2017-02-13 14:18:43
date last changed
2024-03-31 00:16:34
@inproceedings{632a92cc-920b-48d2-96d0-a523a8a2b1bc,
  abstract     = {{<p>Many standard optimization methods for segmentation and reconstruction compute ML model estimates for ap- pearance or geometry of segments, e.g. Zhu-Yuille [23], Torr [20], Chan-Vese [6], GrabCut [18], Delong et al. [8]. We observe that the standard likelihood term in these formu- lations corresponds to a generalized probabilistic K-means energy. In learning it is well known that this energy has a strong bias to clusters of equal size [11], which we express as a penalty for KL divergence from a uniform distribution of cardinalities. However, this volumetric bias has been mostly ignored in computer vision. We demonstrate signif- icant artifacts in standard segmentation and reconstruction methods due to this bias. Moreover, we propose binary and multi-label optimization techniques that either (a) remove this bias or (b) replace it by a KL divergence term for any given target volume distribution. Our general ideas apply to continuous or discrete energy formulations in segmenta- tion, stereo, and other reconstruction problems.</p>}},
  author       = {{Boykov, Yuri and Isack, Hossam and Olsson, Carl and Ayed, Ismail Ben}},
  booktitle    = {{Proceedings - 2015 IEEE International Conference on Computer Vision, ICCV 2015}},
  isbn         = {{9781467383912}},
  language     = {{eng}},
  month        = {{02}},
  pages        = {{1769--1777}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Volumetric bias in segmentation and reconstruction : Secrets and solutions}},
  url          = {{http://dx.doi.org/10.1109/ICCV.2015.206}},
  doi          = {{10.1109/ICCV.2015.206}},
  volume       = {{11-18-December-2015}},
  year         = {{2016}},
}