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'''Generalized multidimensional scaling''' ('''GMDS)''') is an extension of metric [[multidimensional scaling]], in which the target space inis 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.
== References ==
*{{cite journal |vauthors=Bronstein, A.MAM, Bronstein,M.MMM, and Kimmel, R. (2006),''|title=Generalized multidimensional scaling: a framework for isometry-invariant partial surface matching'', |journal=Proc. NationalNatl. AcademyAcad. ofSci. Sciences (PNAS), VolU.S.A. |volume=103/ |issue=5,pp|pages=1168–72 |date=January 2006 |pmid=16432211 |pmc=1360551 |doi=10.1073/pnas.0508601103 1168|doi-1172access=free |bibcode=2006PNAS..103.1168B }}
[[Category:Dimension reduction]]
== External links ==
* [http://www.cs.technion.ac.il/~mbron/publications.html Michael Bronstein's homepage - GMDS publications]
