Invariant variational principle for model-based interpolation of high-dimensional clustered data

Ravi C. Venkatesan

doi:10.1117/12.411913

27 December 2000 Invariant variational principle for model-based interpolation of high-dimensional clustered data

Ravi C. Venkatesan

Proceedings Volume 4311, Internet Imaging II; (2000) https://doi.org/10.1117/12.411913
Event: Photonics West 2001 - Electronic Imaging, 2001, San Jose, CA, United States

Abstract

A self-consistent formulation for the model-based interpolation of high dimensional data, approximated by clusters, has been derived on the basis of the calculus of infinitesimal transformations. The model-based interpolation is represented in the form of a dynamical system, obtained as a consequence of Noether's theorem. The case for intra-cluster interpolation has been derived, and extensions to the case of mixture model interpolation are discussed. The present formulation has been proven to be computationally efficient. Numerical examples for exemplary cases are demonstrated.

Citation Download Citation

Ravi C. Venkatesan "Invariant variational principle for model-based interpolation of high-dimensional clustered data", Proc. SPIE 4311, Internet Imaging II, (27 December 2000); https://doi.org/10.1117/12.411913

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