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Title: 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:
;
Publication Date:
Research Org.:
Univ. of California, Oakland, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
874925
Patent Number(s):
6,490,374
Application Number:
09/905,528
Assignee:
The Regents of the University of California (Oakland, CA)
DOE Contract Number:  
FG02-87ER40317
Resource Type:
Patent
Resource Relation:
Patent File Date: 2001 Aug 22
Country of Publication:
United States
Language:
English
Subject:
accelerated; signal; encoding; reconstruction; pixon; method; identifies; element; fundamental; indivisible; unit; information; basis; set; functions; elements; selected; process; represents; units; required; fit; data; representing; minimum; parameters; specify; image; kernels; arbitrary; properties; shape; size; andor; position; /382/

Citation Formats

Puetter, Richard, and Yahil, Amos. Accelerated signal encoding and reconstruction using pixon method. United States: N. p., 2002. Web.
Puetter, Richard, & Yahil, Amos. Accelerated signal encoding and reconstruction using pixon method. United States.
Puetter, Richard, and Yahil, Amos. 2002. "Accelerated signal encoding and reconstruction using pixon method". United States. https://www.osti.gov/servlets/purl/874925.
@article{osti_874925,
title = {Accelerated signal encoding and reconstruction using pixon method},
author = {Puetter, Richard and Yahil, Amos},
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 = {},
url = {https://www.osti.gov/biblio/874925}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Jan 01 00:00:00 EST 2002},
month = {Tue Jan 01 00:00:00 EST 2002}
}

Works referenced in this record:

Marginal analysis prioritization for image compression based on a hierarchical wavelet decomposition
conference, January 1993


Representing probability distributions of image segments and segmentations
conference, January 1992


A local update strategy for iterative reconstruction from projections
journal, January 1993


Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
journal, November 1984


Bayesian image reconstruction in positron emission tomography
journal, April 1990