Piecewise polynomial solutions to linear inverse problems

Per Christian Hansen; K. Mosegaard

Piecewise polynomial solutions to linear inverse problems

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

We have presented a new algorithm PP-TSVD that computes piecewise polynomial solutions to ill-posed problems, without a priori knowledge about the positions of the break points. In particular, we can compute piecewise constant functions that describe layered models. Such solutions are useful, e.g., in seismological problems, and the algorithm can also be used as a preprocessor for other methods where break points/discontinuities must be incorporated explicitly.

Original language	English
Title of host publication	Inverse Methods
Place of Publication	Berlin
Publisher	Springer
Publication date	1996
Publication status	Published - 1996
Event	Inverse Methods - Duration: 1 Jan 1996 → …

Conference

Conference	Inverse Methods
Period	01/01/1996 → …

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title = "Piecewise polynomial solutions to linear inverse problems",

abstract = "We have presented a new algorithm PP-TSVD that computes piecewise polynomial solutions to ill-posed problems, without a priori knowledge about the positions of the break points. In particular, we can compute piecewise constant functions that describe layered models. Such solutions are useful, e.g., in seismological problems, and the algorithm can also be used as a preprocessor for other methods where break points/discontinuities must be incorporated explicitly.",

author = "Hansen, {Per Christian} and K. Mosegaard",

year = "1996",

language = "English",

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publisher = "Springer",

note = "Inverse Methods ; Conference date: 01-01-1996",

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AU - Hansen, Per Christian

AU - Mosegaard, K.

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N2 - We have presented a new algorithm PP-TSVD that computes piecewise polynomial solutions to ill-posed problems, without a priori knowledge about the positions of the break points. In particular, we can compute piecewise constant functions that describe layered models. Such solutions are useful, e.g., in seismological problems, and the algorithm can also be used as a preprocessor for other methods where break points/discontinuities must be incorporated explicitly.

AB - We have presented a new algorithm PP-TSVD that computes piecewise polynomial solutions to ill-posed problems, without a priori knowledge about the positions of the break points. In particular, we can compute piecewise constant functions that describe layered models. Such solutions are useful, e.g., in seismological problems, and the algorithm can also be used as a preprocessor for other methods where break points/discontinuities must be incorporated explicitly.

M3 - Article in proceedings

BT - Inverse Methods

PB - Springer

CY - Berlin

T2 - Inverse Methods

Y2 - 1 January 1996

ER -

Piecewise polynomial solutions to linear inverse problems

Abstract

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