Accelerated signal encoding and reconstruction using pixon method
Abstract
The method identifies a Pixon element, which is a fundamental and indivisible unit of information, and a Pixon basis, which is the set of possible functions from which the Pixon elements are selected. The actual Pixon elements selected from this basis during the reconstruction process represents the smallest number of such units required to fit the data and representing the minimum number of parameters necessary to specify the image. The Pixon kernels can have arbitrary properties (e.g., shape, size, and/or position) as needed to best fit the data.
 Inventors:
 Issue Date:
 Research Org.:
 Univ. of California, Oakland, CA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1175360
 Patent Number(s):
 6895125
 Application Number:
 10/308,450
 Assignee:
 The Regents of the University of California (Oakland, CA)
 Patent Classifications (CPCs):

G  PHYSICS G06  COMPUTING G06T  IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
 DOE Contract Number:
 FG0287ER40317
 Resource Type:
 Patent
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING
Citation Formats
Puetter, Richard, Yahil, Amos, and Pina, Robert. Accelerated signal encoding and reconstruction using pixon method. United States: N. p., 2005.
Web.
Puetter, Richard, Yahil, Amos, & Pina, Robert. Accelerated signal encoding and reconstruction using pixon method. United States.
Puetter, Richard, Yahil, Amos, and Pina, Robert. Tue .
"Accelerated signal encoding and reconstruction using pixon method". United States. https://www.osti.gov/servlets/purl/1175360.
@article{osti_1175360,
title = {Accelerated signal encoding and reconstruction using pixon method},
author = {Puetter, Richard and Yahil, Amos and Pina, Robert},
abstractNote = {The method identifies a Pixon element, which is a fundamental and indivisible unit of information, and a Pixon basis, which is the set of possible functions from which the Pixon elements are selected. The actual Pixon elements selected from this basis during the reconstruction process represents the smallest number of such units required to fit the data and representing the minimum number of parameters necessary to specify the image. The Pixon kernels can have arbitrary properties (e.g., shape, size, and/or position) as needed to best fit the data.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2005},
month = {5}
}
Works referenced in this record:
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conference, January 1993
 Xiong, Z.; Galatsanos, N. P.; Orchard, M. T.
 Proceedings of ICASSP '93, IEEE International Conference on Acoustics Speech and Signal Processing
A local update strategy for iterative reconstruction from projections
journal, January 1993
 Sauer, K.; Bouman, C.
 IEEE Transactions on Signal Processing, Vol. 41, Issue 2