? Abstract. Image formation is described by means of modern geometry in terms of curvatures. These curvatures are a quantisation of the set of rules for constructing the image. A simpliication of this set of rules is proposed by applying dynamic scale-space theory.

In this paper we continue the program initiated in Part I, that is study of entanglement measures sine-Gordon model. both parts, have focussed on one specific technique, well-known connection between branch point twist field correlators and 1+1D integrable quantum theory. Our papers apply technique for first time to a non-diagonal theory with an involved particle spectrum, II focus different me...

We consider 2d sigma models with a D = 2 + N dimensional Minkowski signature target space metric having a covariantly constant null Killing vector. These models are UV finite. The 2 +N -dimensional target space metric can be explicitly determined for a class of supersymmetric sigma models with N -dimensional ‘transverse’ part of the target space being homogeneous Kähler. The corresponding ‘tran...

Colour quantisation algorithms are essential for displaying true colour images using a limited palette of distinct colours. The choice of a good colour palette is crucial as it directly determines the quality of the resulting image. Colour quantisation can also be seen as a clustering problem where the task is to identify those clusters that best represent the colours in an image. In this paper...

We consider a family of fermionic star products generalising the Moyal product. The parameter space contains polarisations used to define quantum Hilbert spaces in geometric quantisation. For each polarisation, we find product functions on states and show that any function state remains state. establish associativity such products, which yields representations algebras spaces. is compatible wit...

In this contribution the impact of finite signal wordlengths on the performance of digital systems for arbitrary sampling rate conversion (ASRC), where input and output sampling rates are derived from independent clock generators, is investigated. For two different approaches to ASRC the noise power due to both, input/output quantisation and multiplication roundoff errors, is determined as a fu...

Quantisation of Lorentz invariant scalar field theory in Doplicher-Fredenhagen-Roberts (DFR) space-time, a invariant, non-commutative space-time is studied. We use an approach to quantisation that based on the equations motion alone and derive equal time commutation relation between Doplicher-Fredenhagen-Roberts-Amorim (DFRA) its conjugate, which has dependent modifications, but corresponding c...