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Regularizing Image Intensity Transformations Using the Wasserstein Metric

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Author

Editor

  • Rasmus Paulsen
  • Kim Pedersen

Summary, in English

In this paper we direct our attention to the problem of discretization effects in intensity transformations of images. We propose to use the Wasserstein metric (also known as the Earth mover distance) to bootstrap the transformation process. The Wasserstein metric gives a mapping between gray levels that we use to direct our image mapping. In order to spatially regularize the image mapping we apply anisotropic filtering and use this to steer our mapping. We describe a general framework for intensity transformation, and investigate the application of our method on a number of special problems, namely histogram equalization, color transfer and bit depth expansion. We have tested our algorithms on real images, and we show that we get state-of-the-art results.

Publishing year

2015

Language

English

Pages

275-286

Publication/Series

Lecture Notes in Computer Science (Image Analysis, 19th Scandinavian Conference, SCIA 2015, Copenhagen, Denmark, June 15-17, 2015. Proceedings))

Volume

9127

Document type

Conference paper

Publisher

Springer

Topic

  • Computational Mathematics

Keywords

  • Image enhancement
  • Discretization
  • Wasserstein metric

Conference name

19th Scandinavian Conference on Image Analysis (SCIA 2015)

Conference date

2015-06-15 - 2015-06-17

Conference place

Copenhagen, Denmark

Status

Published

Research group

  • Mathematical Imaging Group

ISBN/ISSN/Other

  • ISSN: 1611-3349
  • ISSN: 0302-9743
  • ISBN: 978-3-319-19665-7
  • ISBN: 978-3-319-19664-0