Generalized multidimensional scaling: Difference between revisions

Revision as of 15:49, 19 January 2014

Revision as of 03:57, 16 January 2016

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'''Generalized multidimensional scaling''' ('''GMDS)''') is an extension of metric [[multidimensional scaling]], in which the target space is non-Euclidean. In case whenWhen 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.

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== References ==

*{{cite journal |author=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 |url=http://www.pnas.org/cgi/pmidlookup?view=long&pmid=16432211}}

== External links ==

* [http://www.cs.technion.ac.il/~mbron/research_gmds.html Michael Bronstein's GMDS homepage]

[[Category:Multivariate statistics]]

{{statistics-stub}}