Coherence-Enhancing Diffusion Filtering

Authors:
Joachim Weickert
Affiliations:
Image Sciences Institute, University Hospital Utrecht, HP E01.334, P.O. Box 85500, 3508 GA, Utrecht, The Netherlands. joachim@cv.ruu.nl
Venue:
International Journal of Computer Vision
Year:
1999

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Abstract

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.