We consider the geometric quantisation of Chern--Simons theory for closed genus-one surfaces and semisimple complex groups. First we introduce natural complexified analogue Hitchin connection in K\{a}hler quantisation, with polarisations coming from nonabelian Hodge hyper-K\{a}hler geometry moduli spaces flat connections, thereby complementing real-polarised approach Witten. Then Witten, identi...

1 .K . SivakamiSundari, Professor, IT Department, PSNA College of Engineering and Technology, Dindigul624622,Email:[email protected] 2 .Dr.V. Sadasivam, Professor &Head, CSE Department,Manonmanium Sundaranar University,Tirunelveli Email:[email protected] ABSTRACT Image enhancement algorithm for low vision viewers was developed. The current work sharpens the compressed images in th...

Efficient reduction of storage and complexity demands in VQ and MQ systems is a key issue when developing new, more powerful compression algorithms. Secondary Storage Quantisation (SSQ) is capable of drastically reducing VQ storage through an efficient representation of codebook elements. Rather than the conventional fixed or floating point representation, codebook elements are quantised using ...

This paper considers low-rate Waveform Interpolation (WI) coding. It compares the existing, common Slowly Evolving Waveform (SEW) quantisation scheme with two new schemes for representing and quantising the SEW. The first scheme uses a minimum phase estimate to reconstruct the SEW whilst the second scheme uses a pulse model whose parameters are implicitly transmitted in the quantised rapidly ev...

We introduce a scheme for optimally allocating a variable number of bits per LSH hyperplane. Previous approaches assign a constant number of bits per hyperplane. This neglects the fact that a subset of hyperplanes may be more informative than others. Our method, dubbed Variable Bit Quantisation (VBQ), provides a datadriven non-uniform bit allocation across hyperplanes. Despite only using a frac...

The study prcsents a formulation of a Hadaniard framework for analysing the vector quantisation aver channels with memory. In seeking faster response, classes of index assignments are defined in terms of the Hadamard transform of channel transition probabilities, An index assignment algorithm is developed that achieves high robustness against channel errors, and its performance i n vector quant...

Abstract In this paper we study the isomonodromic deformations of systems differential equations with poles any order on Riemann sphere as Hamiltonian flows product co-adjoint orbits truncated current algebra, also called generalised Takiff algebra. Our motivation is to produce confluent versions celebrated Knizhnik–Zamolodchikov and explain how their quasiclassical solution can be expressed vi...