# Applications of the POCS inversion method to interpolating topography and other geophysical fields. [Projection Onto Convex Sets]

## Abstract

The author applies the method of Projection Onto Convex Sets (POCS) to the problem of solving geophysical inverse problems. The advantage of this iterative method is its flexibility in handling non-linear equality and inequality constraints, including constraints on the spectrum of unknown functions. He gives examples of using POCS to interpolate topographic profiles, topographic maps, and the physical properties of the earth between well logs.

- Authors:

- (Columbia Univ., Palisades, NY (United States))

- Publication Date:

- OSTI Identifier:
- 5512025

- Resource Type:
- Journal Article

- Journal Name:
- Geophysical Research Letters (American Geophysical Union); (United States)

- Additional Journal Information:
- Journal Volume: 18:3; Journal ID: ISSN 0094-8276

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 58 GEOSCIENCES; TOPOGRAPHY; CALCULATION METHODS; GEOLOGIC STRATA; GEOPHYSICS; MAPPING; PHYSICAL PROPERTIES; PROJECTION OPERATORS; WELL LOGGING; GEOLOGIC STRUCTURES; MATHEMATICAL OPERATORS; 580000* - Geosciences

### Citation Formats

```
Menke, W.
```*Applications of the POCS inversion method to interpolating topography and other geophysical fields. [Projection Onto Convex Sets]*. United States: N. p., 1991.
Web. doi:10.1029/90GL00343.

```
Menke, W.
```*Applications of the POCS inversion method to interpolating topography and other geophysical fields. [Projection Onto Convex Sets]*. United States. doi:10.1029/90GL00343.

```
Menke, W. Fri .
"Applications of the POCS inversion method to interpolating topography and other geophysical fields. [Projection Onto Convex Sets]". United States. doi:10.1029/90GL00343.
```

```
@article{osti_5512025,
```

title = {Applications of the POCS inversion method to interpolating topography and other geophysical fields. [Projection Onto Convex Sets]},

author = {Menke, W.},

abstractNote = {The author applies the method of Projection Onto Convex Sets (POCS) to the problem of solving geophysical inverse problems. The advantage of this iterative method is its flexibility in handling non-linear equality and inequality constraints, including constraints on the spectrum of unknown functions. He gives examples of using POCS to interpolate topographic profiles, topographic maps, and the physical properties of the earth between well logs.},

doi = {10.1029/90GL00343},

journal = {Geophysical Research Letters (American Geophysical Union); (United States)},

issn = {0094-8276},

number = ,

volume = 18:3,

place = {United States},

year = {1991},

month = {3}

}

DOI: 10.1029/90GL00343

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