Generalized multidimensional scaling
- Generalized multidimensional scaling
Generalized multidimensional scaling (GMDS) is an extension of metric multidimensional scaling, in which the target space is non-Euclidean. In case 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
* Bronstein, A. M, Bronstein, M.M, and Kimmel, R. (2006), "Generalized multidimensional scaling: a framework for isometry-invariant partial surface matching", Proc. National Academy of Sciences (PNAS), Vol. 103/5, pp. 1168-1172.
External links
* [http://www.cs.technion.ac.il/~mbron/research_gmds.html Michael Bronstein's GMDS homepage]
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