A similarity measure is needed in many Computer Vision problems. Although Euclidean
distance has traditionally been used, median distance was recently proposed as an …

In this paper we study set distances that are used in image processing. We propose a
generalization of Sum of minimal distances and show that its special case includes a Metric …

We develop expressions for measuring the distance between 2D point sets, which are
invariant to either 2D affine transformations or 2D similarity transformations of the sets, and …

Fuzzy techniques can be applied in several domains of image processing. In this paper, we
will show how notions of fuzzy set theory are used in establishing measures for image …

This paper is focused on the estimation of the degree of similarity of two planar shapes. This
estimation is based upon the use of adequate metrics (symmetrical difference metric …

The upper limit of the absolute error between Euclidean and m-neighbor distance has been
presented as a generalization of the results given in [1]. The conjecture regarding least …

Similarity and dissimilarity measures are widely used in many research areas and
applications. When a dissimilarity measure is used, it is normally required to be a distance …

Regularities in the world are human defined. Patterns in the observed phenomena are there
because we define and recognize them as such. Automatic pattern recognition tries to …

A distance transformation gives for every set in the image plane a function which measures
the distance to the set. Several different methods of measuring the distance are possible …

A comparison of two objects may be viewed as an attempt to determine the degree to which
they are similar or different in a given sense. Defining a good measure of proximity, or else …