Literature DB >> 21278828

AN EFFICIENT NUMERICAL METHOD FOR THE SOLUTION OF THE L(2) OPTIMAL MASS TRANSFER PROBLEM.

Eldad Haber1, Tauseef Rehman, Allen Tannenbaum.   

Abstract

In this paper we present a new computationally efficient numerical scheme for the minimizing flow approach for the computation of the optimal L(2) mass transport mapping. In contrast to the integration of a time dependent partial differential equation proposed in [S. Angenent, S. Haker, and A. Tannenbaum, SIAM J. Math. Anal., 35 (2003), pp. 61-97], we employ in the present work a direct variational method. The efficacy of the approach is demonstrated on both real and synthetic data.

Entities:  

Year:  2010        PMID： 21278828      PMCID： PMC3028539          DOI： 10.1137/080730238

Source DB:  PubMed          Journal:  SIAM J Sci Comput        ISSN： 1064-8275            Impact factor:   2.373


  2 in total

1.  Nonrigid image registration in shared-memory multiprocessor environments with application to brains, breasts, and bees.

Authors:  Torsten Rohlfing; Calvin R Maurer
Journal:  IEEE Trans Inf Technol Biomed       Date:  2003-03

2.  Automatically parcellating the human cerebral cortex.

Authors:  Bruce Fischl; André van der Kouwe; Christophe Destrieux; Eric Halgren; Florent Ségonne; David H Salat; Evelina Busa; Larry J Seidman; Jill Goldstein; David Kennedy; Verne Caviness; Nikos Makris; Bruce Rosen; Anders M Dale
Journal:  Cereb Cortex       Date:  2004-01       Impact factor: 5.357
  2 in total
  9 in total

1.  An optimal transportation approach for nuclear structure-based pathology.

Authors:  Wei Wang; John A Ozolek; Dejan Slepčev; Ann B Lee; Cheng Chen; Gustavo K Rohde
Journal:  IEEE Trans Med Imaging       Date:  2010-10-25       Impact factor: 10.048

2.  Evaluation of nucleus segmentation in digital pathology images through large scale image synthesis.

Authors:  Naiyun Zhou; Xiaxia Yu; Tianhao Zhao; Si Wen; Fusheng Wang; Wei Zhu; Tahsin Kurc; Allen Tannenbaum; Joel Saltz; Yi Gao
Journal:  Proc SPIE Int Soc Opt Eng       Date:  2017-03-01

3.  A Transportation Lp Distance for Signal Analysis.

Authors:  Matthew Thorpe; Serim Park; Soheil Kolouri; Gustavo K Rohde; Dejan Slepčev
Journal:  J Math Imaging Vis       Date:  2017-03-23       Impact factor: 1.627

4.  A continuous linear optimal transport approach for pattern analysis in image datasets.

Authors:  Soheil Kolouri; Akif B Tosun; John A Ozolek; Gustavo K Rohde
Journal:  Pattern Recognit       Date:  2016-03-01       Impact factor: 7.740

5.  Cerebrospinal and interstitial fluid transport via the glymphatic pathway modeled by optimal mass transport.

Authors:  Vadim Ratner; Yi Gao; Hedok Lee; Rena Elkin; Maiken Nedergaard; Helene Benveniste; Allen Tannenbaum
Journal:  Neuroimage       Date:  2017-03-18       Impact factor: 6.556

6.  Discovery and visualization of structural biomarkers from MRI using transport-based morphometry.

Authors:  Shinjini Kundu; Soheil Kolouri; Kirk I Erickson; Arthur F Kramer; Edward McAuley; Gustavo K Rohde
Journal:  Neuroimage       Date:  2017-11-05       Impact factor: 6.556

7.  A linear optimal transportation framework for quantifying and visualizing variations in sets of images.

Authors:  Wei Wang; Dejan Slepčev; Saurav Basu; John A Ozolek; Gustavo K Rohde
Journal:  Int J Comput Vis       Date:  2013-01-01       Impact factor: 7.410

8.  Interpolation of Longitudinal Shape and Image Data via Optimal Mass Transport.

Authors:  Yi Gao; Liang-Jia Zhu; Sylvain Bouix; Allen Tannenbaum
Journal:  Proc SPIE Int Soc Opt Eng       Date:  2014-03-21

9.  Optimal Mass Transport: Signal processing and machine-learning applications.

Authors:  Soheil Kolouri; Serim Park; Matthew Thorpe; Dejan Slepčev; Gustavo K Rohde
Journal:  IEEE Signal Process Mag       Date:  2017-07-11       Impact factor: 12.551
  9 in total

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