19 October 1998 Pseudoframes for subspaces with applications
Author Affiliations +
Abstract
We define and characterize a frame-like stable decomposition for subspaces in a separable Hilbert space. We call in pseudoframes for subspaces (PFFS). Properties of PFFS are discussed. A necessary and sufficient condition for the construction is provided. An analytical formula for the construction of PFFS is also derived. An example is studied both as a motivation of the theoretical study of such pseudoframes and as an actual construction. Potential applications of PFFS are discussed.
© (1998) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Shidong Li, Hidemitsu Ogawa, "Pseudoframes for subspaces with applications", Proc. SPIE 3458, Wavelet Applications in Signal and Imaging Processing VI, (19 October 1998); doi: 10.1117/12.328126; https://doi.org/10.1117/12.328126
PROCEEDINGS
12 PAGES


SHARE
KEYWORDS
Virtual colonoscopy

Wavelets

Chromium

Computer science

Image processing

Lithium

Mathematics

RELATED CONTENT

Riesz wavelets and multiresolution structures
Proceedings of SPIE (December 05 2001)
Lower bounds for finite wavelet and Gabor systems
Proceedings of SPIE (December 04 2000)
Biorthogonality and multiwavelets in Hilbert spaces
Proceedings of SPIE (December 04 2000)
Connection between p frames and p Riesz bases in locally...
Proceedings of SPIE (December 04 2000)

Back to Top