Channel distances and representation

Intuitionistic fuzzy sets: Spherical representation and distances

Most existing distances between intuitionistic fuzzy sets are defined in linear plane representations in 2D or 3D space. Here, we define a new interpretation of intuitionistic fuzzy sets as a restricted spherical surface in 3D space. A new spherical distance for intuitionistic fuzzy sets is introduced. We prove that the spherical distance is different from those existing distances in that it is...

Graph Theory and Representation of Distances :

Embedding-baased Representation of Signal Distances

Traditional signal representation and coding theory is focused on how to most efficiently represent and encode a signal with the goal of preserving it as best as possible. However, very often, the processing only concerns specific information in the signal and does not require conserving the signal itself. In this work we examine the problem of representing signals such that some function of th...

Class Representation and Image Retrieval with Non-Metric Distances

One of the key problems in appearance-based vision is understanding how to use a set of labeled images to classify new images. Classification systems that can model human performance, or that use robust image matching methods, often make use of similarity judgments that are non-metric; but when the triangle inequality is not obeyed, most existing pattern recognition techniques are not applicabl...

Classification with Nonmetric Distances: Image Retrieval and Class Representation

ÐOne of the key problems in appearance-based vision is understanding how to use a set of labeled images to classify new images. Classification systems that can model human performance, or that use robust image matching methods, often make use of similarity judgments that are nonmetric; but when the triangle inequality is not obeyed, most existing pattern recognition techniques are not applicabl...