Generalized multidimensional scaling: Difference between revisions

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'''Generalized multidimensional scaling''' ('''GMDS''') is an extension of metric [[multidimensional scaling]], in which the target space is non-Euclidean. 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 |authorvauthors=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 |date=January 2006 |pmid=16432211 |pmc=1360551 |doi=10.1073/pnas.0508601103 |urldoi-access=http://wwwfree |bibcode=2006PNAS.pnas.org/cgi/pmidlookup?view=long&pmid=16432211103.1168B }}

[[Category:Dimension reduction]]

[[Category:Multivariate statistics]]

{{statistics-stub}}