Local weighted Gaussian curvature for image processing

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Contributors

Abstract

We present a variational model with local weighted Gaussian curvature as regularizer. We show its convexity for an area-weight function and provide a closed-form solution for this case. The corresponding regularization coefficient has a theoretical bound. Moreover, we prove that the model is convex for a wide range of weight functions and show that it can be efficiently solved using splitting techniques. Finally, we demonstrate several applications of the model in image de-noising, smoothing, texture decomposition, image sharpening, and regularization-coefficient optimization.

Details

Original languageEnglish
Title of host publication2013 IEEE International Conference on Image Processing, ICIP 2013 - Proceedings
PublisherIEEE Computer Society
Pages534-538
Number of pages5
ISBN (print)9781479923410
Publication statusPublished - 2013
Peer-reviewedYes

Publication series

SeriesIEEE International Conference on Image Processing (ICIP)

Conference

Title2013 20th IEEE International Conference on Image Processing, ICIP 2013
Duration15 - 18 September 2013
CityMelbourne, VIC
CountryAustralia

External IDs

ORCID /0000-0003-4414-4340/work/159608283

Keywords

Keywords

  • convex model, Gaussian curvature, image processing, regularization, variational form