Generalized multidimensional scaling: Difference between revisions

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Revision as of 03:29, 20 December 2006 edit Oleg Alexandrov (talk \| contribs) Extended confirmed users 47,270 edits m moved Generalized multidimensional scaling (GMDS) to Generalized multidimensional scaling: better name ← Previous edit		Latest revision as of 21:04, 16 April 2025 edit undo Citation bot (talk \| contribs) Bots 5,865,220 edits Added bibcode. \| Use this bot. Report bugs. \| Suggested by Dominic3203 \| Linked from User:LinguisticMystic/cs/outline \| #UCB_webform_linked 814/2277
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Line 1: '''Generalized multidimensional scaling''' ('''GMDS)''') is an extension of metric [[multidimensional scaling]], in which the target space inis 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 \|vauthors=Bronstein~~, A.~~ MAM, Bronstein, ~~M.M~~MM, ~~and~~ Kimmel, R~~. (2006),~~ ''\|title=Generalized multidimensional scaling: a framework for isometry-invariant partial surface matching~~'',~~ \|journal=Proc. ~~National~~Natl. ~~Academy~~Acad. ofSci. ~~Sciences (PNAS), Vol~~U.S.A. \|volume=103/ \|issue=5, pp\|pages=1168–72 \|date=January 2006 \|pmid=16432211 \|pmc=1360551 \|doi=10.1073/pnas.0508601103 ~~1168~~\|doi-~~1172~~access=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] ~~[[Category:Multivariate statistics]]~~ {{statistics-stub}}