A vectorial approach to unbalanced optimal mass transport Journal Article

   


Authors: Zhu, J.; Elkin, R.; Oh, J. H.; Deasy, J. O.; Tannenbaum, A.
Article Title: A vectorial approach to unbalanced optimal mass transport
Abstract: Unbalanced optimal mass transport (OMT) seeks to remove the conservation of mass constraint by adding a source term to the standard continuity equation in the Benamou-Brenier formulation of OMT. In this study, we show how the unbalanced case fits into the vector-valued OMT framework simply by adding an auxiliary source layer and taking the flow between the source layer and the original layer(s) as the source term. This allows for unbalanced models both in the scalar and vector-valued density settings. The results are demonstrated on a number of synthetic and real vector-valued data sets. © 2013 IEEE.
Keywords: optimal mass transport; signal and image processing; source term; unbalanced transport; vector-valued distributions; auxiliary source; conservation of mass; continuity equations; real vector; source terms; vector valued
Journal Title: IEEE Access
Volume: 8
ISSN: 2169-3536
Publisher: IEEE  
Date Published: 2020-11-17
Start Page: 209224
End Page: 209231
Language: English
DOI: 10.1109/access.2020.3038567
PROVIDER: scopus
PMCID: PMC7709795
PUBMED: 33274174
DOI/URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85097353202&doi=10.1109%2fACCESS.2020.3038567&partnerID=40&md5=9ec23d391613b6ea6ca5763b6d025008
Notes: Article -- Export Date: 4 January 2021 -- Source: Scopus
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MSK Authors
  1. Jung Hun Oh
    187 Oh
  2. Joseph Owen Deasy
    524 Deasy
  3. Rena Elkin
    15 Elkin
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