A fully geometric procedure of quantization that utilizes a natural and necessary metric on phase space is reviewed and briefly related to the goals of the program of geometric quantization. Introduction and Background Purpose and achievements The goal of the present work is to present a conceptually simple, geometric prescription for quantization. Such a goal has been, and continues to be, the...

We discuss a general quantum theoretical example of quantum cohomology and show that various mathematical aspects of quantum cohomology have quantum mechanical and also observable significance. 1 The quantum cohomology is one of the most fundamental and intressting mathematical-physical fields and although it is introduced according to certain physical models [1], however it should be considere...

Age and gender of an individual, when available, can contribute to identification decisions provided by primary biometrics and help improve matching performance. In this paper, we propose a system which automatically infers age and gender from the fingerprint image. Current approaches for predicting age and gender generally exploit features such as ridge count, and white lines count that are ma...

Vector quantization methods are confronted with a model selection problem, namely the number of prototypical feature representatives to model each class. In this paper we present an incremental learning scheme in the context of figure-ground segmentation. In presence of local adaptive metrics and supervised noisy information we use a parallel evaluation scheme combined with a local utility func...

In this paper, the RD-OPT algorithm for optimizing Discrete Cosine Transform quantization tables RL95] is extended to incorporate global thresholding. Performance gains are possible by zeroing oo some DCT coeecients in DCT-based image compression. We describe a global thresholding scheme, in which the zeroing thresholds for coeecients can be arbitrarily diierent from those determined by the qua...

We revisit Additive Quantization (AQ), an approach to vector quantization that uses multiple, full-dimensional, and non-orthogonal codebooks. Despite its elegant and simple formulation, AQ has failed to achieve state-of-the-art performance on standard retrieval benchmarks, because the encoding problem, which amounts to MAP inference in multiple fully-connected Markov Random Fields (MRFs), has p...

Approaching a multi-codebook system as a codebook of codebooks, weighted universal vector quantization (WUVQ) uses traditional codeword design techniques to design locally optimal multi-codebook systems. Application of this technique to a sequence of medical images produces a 10.3 dB improvement over standard full search vector quantization followed by entropy coding at the cost of increased co...

In this paper, a writer-dependent signature verification method is proposed. Two different types of texture features, namely Wavelet and Local Quantized Patterns (LQP) features, are employed to extract two kinds of transform and statistical based information from signature images. For each writer two separate oneclass support vector machines (SVMs) corresponding to each set of LQP and Wavelet f...

We solve the problem of a quantization of the lightcone QCD. We find that boundary gauge fields are crucial for a consistent and complete quantization. By applying the symplectic Faddeev-Jackiw method, we very carefully remove unphysical degrees of freedom and obtain the true phase space and the complete Hamiltonian. The result is important for the high energy QCD evolution and for a further ex...

It is shown that in crystals the semiclassical quantization condition for energy levels of electrons in the magnetic field depends on Berry’s phase. When the electron orbit links to the band-contact line of the metal (i.e., surrounds it), Berry’s phase is nonzero and the quantization condition differs from that commonly used. This result is closely analogous to the Aharonov-Bohm’s effect provid...