A guide to the TV zoo

Burger M, Osher S (2013)

Publication Language: English

Publication Type: Book chapter / Article in edited volumes

Publication year: 2013

Journal

Lecture Notes in Mathematics Springer Verlag Kg

Edited Volumes: Level Set and PDE-based Reconstruction Methods

Series: Lecture Notes in Mathematics

Pages Range: 1-70

ISBN: 9783319017112

DOI: 10.1007/978-3-319-01712-9-1

Abstract

Total variation methods and similar approaches based on regularizations with ℓ 1-type norms (and seminorms) have become a very popular tool in image processing and inverse problems due to peculiar features that cannot be realized with smooth regularizations. In particular total variation techniques had particular success due to their ability to realize cartoon-type reconstructions with sharp edges. Due to an explosion of new developments in this field within the last decade it is a difficult task to keep an overview of the major results in analysis, the computational schemes, and the application fields. With these lectures we attempt to provide such an overview, of course biased by our major lines of research. We are focusing on the basic analysis of total variation methods and the extension of the original ROF-denoising model due various application fields. Furthermore we provide a brief discussion of state-of-the art computational methods and give an outlook to applications in different disciplines. © 2013 Springer International Publishing Switzerland.

Authors with CRIS profile

Martin Burger

Involved external institutions

Westfälische Wilhelms-Universität (WWU) Münster DE Germany (DE) University of California Los Angeles (UCLA) US United States (USA) (US)

How to cite

APA:

Burger, M., & Osher, S. (2013). A guide to the TV zoo. In Burger Martin, Osher Stanley (Eds.), Level Set and PDE-based Reconstruction Methods. (pp. 1-70).

MLA:

Burger, Martin, and Stanley Osher. "A guide to the TV zoo." Level Set and PDE-based Reconstruction Methods. Ed. Burger Martin, Osher Stanley, 2013. 1-70.

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