Image appearance descriptors are needed for different computer vision applications dealing with, for example, detection, recognition and classification of objects, textures, humans, etc. Typically, such descriptors should be discriminative to allow for making the distinction between different classes, yet still robust to intra-class variations due to imaging conditions, natural changes in appea...

Vector quantization is a classical problem that appears in many fields. Unfortunately, the quantization problem is generally nonconvex, and therefore affords many local minima. The main problem is finding an initial approximation which is close to a “good” local minimum. Once such an approximation is found, the Lloyd–Max method may be used to reach a local minimum near it. In recent years, much...

A uniied analysis of several polar quantization schemes is developed by focusing on their point densities and inertial prooles and using Bennett's integral to express the mean-squared error. The subsequent analysis is straightforward and leads to new insights into the relationship between polar quantization and Cartesian quantization. With this approach, unrestricted polar quantization, which i...

Canonical quantization entails using Cartesian coordinates, and Cartesian coordinates exist only in flat spaces. This situation can either be questioned or accepted. In this paper we offer a brief and introductory overview of how a flat phase space metric can be incorporated into a covariant, coordinate-free quantization procedure involving a continuous-time (Wiener measure) regularization of t...

The relationship between the Dirac and reduced phase space quantizations is investigated for spin models belonging to the class of Hamiltonian systems having no gauge conditions. It is traced out that the two quantization methods may give similar, or essentially di erent physical results, and, moreover, it is shown that there is a class of constrained systems, which can be quantized only by the...

Consideration of the geometric quantization of the phase space of a particle in an external Yang-Mills field allows the results of the Mackey-Isham quantization procedure for homogeneous configuration spaces to be reinterpreted. In particular, a clear physical interpretation of the ‘inequivalent’ quantizations occurring in that procedure is given.