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.
Referencesedit
Bronstein AM, Bronstein MM, Kimmel R (January 2006). "Generalized multidimensional scaling: a framework for isometry-invariant partial surface matching". Proc. Natl. Acad. Sci. U.S.A. 103 (5): 1168–72. doi:10.1073/pnas.0508601103. PMC1360551. PMID 16432211.
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generalized, multidimensional, scaling, gmds, extension, metric, multidimensional, scaling, which, target, space, euclidean, when, dissimilarities, distances, surface, target, space, another, surface, gmds, allows, finding, minimum, distortion, embedding, surf. 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 editBronstein AM Bronstein MM Kimmel R January 2006 Generalized multidimensional scaling a framework for isometry invariant partial surface matching Proc Natl Acad Sci U S A 103 5 1168 72 doi 10 1073 pnas 0508601103 PMC 1360551 PMID 16432211 nbsp This statistics related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Generalized multidimensional scaling amp oldid 1041435789, wikipedia, wiki, book, books, library,
