27 December 2000 Invariant variational principle for model-based interpolation of high-dimensional clustered data
Author Affiliations +
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.
© (2000) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Ravi C. Venkatesan, "Invariant variational principle for model-based interpolation of high-dimensional clustered data", Proc. SPIE 4311, Internet Imaging II, (27 December 2000); doi: 10.1117/12.411913; https://doi.org/10.1117/12.411913
PROCEEDINGS
9 PAGES


SHARE
RELATED CONTENT


Back to Top