Quantization is the process of representing a large set of input values with a much smaller set. In signal processing and image processing, Vector Quantization is a classical quantization which extends the scalar quantization to multi-dimensional space. It is widely used in many applications such as data compression, data correction, pattern recognition, and density estimation. This project pro...

In this paper high dynamic range nonuniform two-dimensional vector quantization model for Laplacean source was provided. Semilogarithmic A-law compression characteristic was used as radial scalar compression characteristic of two-dimensional vector quantization. Optimal number value of concentric quantization domains (amplitude levels) is expressed in the function of parameter A. Exact distorti...

In this paper, we present a simple approach to the quantization of vertex-coordinate values of a very large terrain dataset, allowing both efficient representation and timely rendering of the data. We focus on uniform scalar quantization, which, although theoretically suboptimal in general, is shown to produce the same level of accuracy as a Lloyd-Max optimal quantizer for the terrain data unde...

We consider the thermodynamics of minimally coupled massive scalar field in 3+1 dimensional Taub-NUT background. The brick wall model of 't Hooft is used. A quantization condition on the energy of the matter field, similar to the Dirac quantization condition, is required to find well behaved solution of the scalar field wave equation.When Scharzschild like coordinates are used it is found that ...