A Scale-Space Medialness Transform Based on Boundary Concordance Voting

Authors:
Ming Xu;David Pycock
Affiliations:
School of Electronic and Electrical Engineering, University of Birmingham, Birmingham, B15 2TT, UK. xum@eee.bham.ac.uk;School of Electronic and Electrical Engineering, University of Birmingham, Birmingham, B15 2TT, UK. d.pycock@bham.ac.uk
Venue:
Journal of Mathematical Imaging and Vision
Year:
1999

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Abstract

The Concordance-based Medial Axis Transform (CMAT) presented in thispaper is a multiscale medial axis (MMA) algorithm that computes themedial response from grey-level boundary measures. This non-linearoperator responds only to symmetric structures, overcoming thelimitations of linear medial operators which create “side-lobe”responses for symmetric structures and respond to edge structures. Inaddition, the spatial localisation of the medial axis and theidentification of object width is improved in the CMAT algorithmcompared with linear algorithms. The robustness of linear medialoperators to noise is preserved in our algorithm. The effectivenessof the CMAT is accredited to the concordance property described inthis paper. We demonstrate the performance of this method with testfigures used by other authors and medical images that are relativelycomplex in structure. In these complex images the benefit of theimproved response of our non-linear operator is clearly visible.