Distance measures between digital fuzzy objects and their applicability in image processing

Authors:
Vladimir Ćurić;Joakim Lindblad;Nataša Sladoje
Affiliations:
Centre for Image Analysis, Uppsala University, Sweden;Centre for Image Analysis, Swedish University of Agricultural Sciences, Uppsala, Sweden and Mathematical Institute, Serbian Academy of Sciences and Arts, Belgrade, Serbia;Faculty of Technical Sciences, University of Novi Sad, Serbia
Venue:
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
Year:
2011

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Abstract

We present two different extensions of the Sum of minimal distances and the Complement weighted sum of minimal distances to distances between fuzzy sets. We evaluate to what extent the proposed distances show monotonic behavior with respect to increasing translation and rotation of digital objects, in noise free, as well as in noisy conditions. Tests show that one of the extension approaches leads to distances exhibiting very good performance. Furthermore, we evaluate distance based classification of crisp and fuzzy representations of objects at a range of resolutions. We conclude that the proposed distances are able to utilize the additional information available in a fuzzy representation, thereby leading to improved performance of related image processing tasks.