Nonparametric Belief Propagation and Facial Appearance Estimation

In many applications of graphical models arising in computer vision, the hidden variables of interest are most naturally specified by continuous, non-Gaussian distributions. There exist inference algorithms for discrete approximations to these continuous distributions, but for the high-dimension...

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Main Authors: Sudderth, Erik B., Ihler, Alexander T., Freeman, William T., Willsky, Alan S.
Language:en_US
Published: 2004
Subjects:
Online Access:http://hdl.handle.net/1721.1/5932
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author Sudderth, Erik B.
Ihler, Alexander T.
Freeman, William T.
Willsky, Alan S.
author_facet Sudderth, Erik B.
Ihler, Alexander T.
Freeman, William T.
Willsky, Alan S.
author_sort Sudderth, Erik B.
collection MIT
description In many applications of graphical models arising in computer vision, the hidden variables of interest are most naturally specified by continuous, non-Gaussian distributions. There exist inference algorithms for discrete approximations to these continuous distributions, but for the high-dimensional variables typically of interest, discrete inference becomes infeasible. Stochastic methods such as particle filters provide an appealing alternative. However, existing techniques fail to exploit the rich structure of the graphical models describing many vision problems. Drawing on ideas from regularized particle filters and belief propagation (BP), this paper develops a nonparametric belief propagation (NBP) algorithm applicable to general graphs. Each NBP iteration uses an efficient sampling procedure to update kernel-based approximations to the true, continuous likelihoods. The algorithm can accomodate an extremely broad class of potential functions, including nonparametric representations. Thus, NBP extends particle filtering methods to the more general vision problems that graphical models can describe. We apply the NBP algorithm to infer component interrelationships in a parts-based face model, allowing location and reconstruction of occluded features.
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spelling mit-1721.1/59322019-04-10T17:24:20Z Nonparametric Belief Propagation and Facial Appearance Estimation Sudderth, Erik B. Ihler, Alexander T. Freeman, William T. Willsky, Alan S. AI graphical model belief propagation nonparametric inference vision In many applications of graphical models arising in computer vision, the hidden variables of interest are most naturally specified by continuous, non-Gaussian distributions. There exist inference algorithms for discrete approximations to these continuous distributions, but for the high-dimensional variables typically of interest, discrete inference becomes infeasible. Stochastic methods such as particle filters provide an appealing alternative. However, existing techniques fail to exploit the rich structure of the graphical models describing many vision problems. Drawing on ideas from regularized particle filters and belief propagation (BP), this paper develops a nonparametric belief propagation (NBP) algorithm applicable to general graphs. Each NBP iteration uses an efficient sampling procedure to update kernel-based approximations to the true, continuous likelihoods. The algorithm can accomodate an extremely broad class of potential functions, including nonparametric representations. Thus, NBP extends particle filtering methods to the more general vision problems that graphical models can describe. We apply the NBP algorithm to infer component interrelationships in a parts-based face model, allowing location and reconstruction of occluded features. 2004-10-04T14:15:28Z 2004-10-04T14:15:28Z 2002-12-01 AIM-2002-020 http://hdl.handle.net/1721.1/5932 en_US AIM-2002-020 10 p. 3701870 bytes 2537534 bytes application/postscript application/pdf application/postscript application/pdf
spellingShingle AI
graphical model
belief propagation
nonparametric inference
vision
Sudderth, Erik B.
Ihler, Alexander T.
Freeman, William T.
Willsky, Alan S.
Nonparametric Belief Propagation and Facial Appearance Estimation
title Nonparametric Belief Propagation and Facial Appearance Estimation
title_full Nonparametric Belief Propagation and Facial Appearance Estimation
title_fullStr Nonparametric Belief Propagation and Facial Appearance Estimation
title_full_unstemmed Nonparametric Belief Propagation and Facial Appearance Estimation
title_short Nonparametric Belief Propagation and Facial Appearance Estimation
title_sort nonparametric belief propagation and facial appearance estimation
topic AI
graphical model
belief propagation
nonparametric inference
vision
url http://hdl.handle.net/1721.1/5932
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