Translator Disclaimer
Paper
15 March 1994 Wavelet approximations to Jacobians and the inversion of complicated maps
Author Affiliations +
Abstract
Principal orthogonal decomposition can be used to solve two related problems: distinguishing elements from a collection by making d measurements, and inverting a complicated map from a p- parameter configuration space to a d-dimensional measurement space. In the case where d is more than 1000 or so, the classical O(d3) singular value decomposition algorithm becomes very costly, but it can be replaced with an approximate best-basis method that has complexity O(d2 log d). This can be used to compute an approximate Jacobian for a complicated map from Rp to Rd in the case where p is much less than d.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Mladen Victor Wickerhauser "Wavelet approximations to Jacobians and the inversion of complicated maps", Proc. SPIE 2242, Wavelet Applications, (15 March 1994); https://doi.org/10.1117/12.170015
PROCEEDINGS
19 PAGES


SHARE
Advertisement
Advertisement
RELATED CONTENT

Spatial and temporal surface interpolation using wavelet bases
Proceedings of SPIE (September 01 1991)
Stability of Bareiss algorithm
Proceedings of SPIE (December 01 1991)
Accurate fast Hankel matrix solver
Proceedings of SPIE (December 01 1991)

Back to Top