Literature DB >> 23687536

A PERFECT MATCH CONDITION FOR POINT-SET MATCHING PROBLEMS USING THE OPTIMAL MASS TRANSPORT APPROACH.

Pengwen Chen1, Ching-Long Lin, I-Liang Chern.   

Abstract

We study the performance of optimal mass transport-based methods applied to point-set matching problems. The present study, which is based on the L2 mass transport cost, states that perfect matches always occur when the product of the point-set cardinality and the norm of the curl of the non-rigid deformation field does not exceed some constant. This analytic result is justified by a numerical study of matching two sets of pulmonary vascular tree branch points whose displacement is caused by the lung volume changes in the same human subject. The nearly perfect match performance verifies the effectiveness of this mass transport-based approach.

Entities:  

Keywords:  Lung registration; Optimal Monge-Kantorovich mass transport; Point-set matching problems; Wasserstein metrics

Year:  2013        PMID： 23687536      PMCID： PMC3656725          DOI： 10.1137/12086443X

Source DB:  PubMed          Journal:  SIAM J Imaging Sci        ISSN： 1936-4954            Impact factor:   2.867


  18 in total

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Journal:  Med Phys       Date:  2007-06       Impact factor: 4.071

5.  A framework for evaluation of deformable image registration spatial accuracy using large landmark point sets.

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6.  Pulmonary CT image registration and warping for tracking tissue deformation during the respiratory cycle through 3D consistent image registration.

Authors:  Baojun Li; Gary E Christensen; Eric A Hoffman; Geoffrey McLennan; Joseph M Reinhardt
Journal:  Med Phys       Date:  2008-12       Impact factor: 4.071

7.  Semi-automatic reference standard construction for quantitative evaluation of lung CT registration.

Authors:  K Murphy; B van Ginneken; J P W Pluim; S Klein; M Staring
Journal:  Med Image Comput Comput Assist Interv       Date:  2008

8.  Registration-based estimates of local lung tissue expansion compared to xenon CT measures of specific ventilation.

Authors:  Joseph M Reinhardt; Kai Ding; Kunlin Cao; Gary E Christensen; Eric A Hoffman; Shalmali V Bodas
Journal:  Med Image Anal       Date:  2008-04-12       Impact factor: 8.545

9.  A cubic B-spline-based hybrid registration of lung CT images for a dynamic airway geometric model with large deformation.

Authors:  Youbing Yin; Eric A Hoffman; Kai Ding; Joseph M Reinhardt; Ching-Long Lin
Journal:  Phys Med Biol       Date:  2010-12-09       Impact factor: 3.609

10.  Patient-specific finite element modeling of respiratory lung motion using 4D CT image data.

Authors:  René Werner; Jan Ehrhardt; Rainer Schmidt; Heinz Handels
Journal:  Med Phys       Date:  2009-05       Impact factor: 4.071
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