# 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:

- (San Diego, CA)
- (Stony Brook, NY)

- Issue Date:

- Research Org.:
- New York State University Research Foundation

- OSTI Identifier:
- 874925

- Patent Number(s):
- 6490374

- Assignee:
- The Regents of the University of California (Oakland, CA) CHO

- DOE Contract Number:
- FG02-87ER40317

- Resource Type:
- Patent

- 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. Tue .
"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 = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2002},

month = {1}

}

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