International Journal of Computer Vision

, Volume 31, Issue 2, pp 111–127

Coherence-Enhancing Diffusion Filtering

  • Joachim Weickert

DOI: 10.1023/A:1008009714131

Cite this article as:
Weickert, J. International Journal of Computer Vision (1999) 31: 111. doi:10.1023/A:1008009714131


The completion of interrupted lines or the enhancement of flow-like structures is a challenging task in computer vision, human vision, and image processing. We address this problem by presenting a multiscale method in which a nonlinear diffusion filter is steered by the so-called interest operator (second-moment matrix, structure tensor). An m-dimensional formulation of this method is analysed with respect to its well-posedness and scale-space properties. An efficient scheme is presented which uses a stabilization by a semi-implicit additive operator splitting (AOS), and the scale-space behaviour of this method is illustrated by applying it to both 2-D and 3-D images.

image enhancementscale-spacetexturenonlinear diffusion

Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • Joachim Weickert
    • 1
  1. 1.Image Sciences InstituteUniversity Hospital Utrecht, HP E01.334UtrechtThe Netherlands