Generalized multidimensional scaling: Difference between revisions

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Line 1: '''Generalized multidimensional scaling''' ('''GMDS)''') is an extension of metric [[multidimensional scaling]], in which the target space is non-Euclidean. ~~In case when~~When the dissimilarities are distances on a surface and the target space is another surface, GMDS allows finding the minimum-distortion embedding of one surface into another. GMDS is an emerging research direction. Currently, main applications are recognition of deformable objects (e.g. for [[three-dimensional face recognition]]) and texture mapping. == References == {{cite journal \|~~author~~vauthors=Bronstein AM, Bronstein MM, Kimmel R \|title=Generalized multidimensional scaling: a framework for isometry-invariant partial surface matching \|journal=Proc. Natl. Acad. Sci. U.S.A. \|volume=103 \|issue=5 \|pages=1168–72 \|~~year~~date=January 2006 ~~\|month=January~~ \|pmid=16432211 \|pmc=1360551 \|doi=10.1073/pnas.0508601103 \|~~url~~doi-access=~~http://www~~free \|bibcode=2006PNAS.~~pnas~~.~~org/cgi/pmidlookup?view=long&pmid=16432211~~103.1168B }} [[Category:Dimension reduction]] ~~== External links ==~~ [http://www.cs.technion.ac.il/~mbron/research_gmds.html Michael Bronstein's GMDS homepage] ~~[[Category:Multivariate statistics]]~~ {{statistics-stub}}