Coupling any interacting quantum mechanical system to gravity in one (time) dimension requires the cosmological constant to belong to the matter energy spectrum and thus to be quantised, even though the gravity sector is free of any quantum dynamics. Furthermore, physical states are also confined to the subspace of the matter quantum states for which the energy coincides with the value of the c...

Abstract: In this study, an efficient approach for detecting zero-quantised discrete cosine transform (DCT) coefficients for video coding is developed. Compared with conventional detection methods of zero-quantised DCT coefficients used in H.264/AVC, the proposed algorithm has two major features. First, a new classification of patterns for DCT, quantisation, inverse quantisation and inverse dis...

A generalisation of the recently formulated nonlinear quantisation of a parameterised theory is presented in the context of quantum gravity. The parametric quantisation of a Friedmann universe with a massless scalar field is then considered in terms of the analytic solutions of the resulting evolution equations. PACS numbers: 04.20.Fy, 04.60.Ds, 04.60.Kz, 11.10.Lm In a recent paper [1] the quan...

The deblurring of Gaussian blur by inverting the action of the diffusion equation has long been known. This technique is interesting but without much practical application since the images have to be blurred by convolution with a Gaussian to be "de-blur-able" with this technique. In this paper we investigate the possibility to use this blurring-deblurring process as a pre-post-processing step i...

In this paper, we present a non-linear method of embedding a signature in colour and monochrome images and demonstrate its recovery. The embedding process can be viewed as pseudo-random perturbations to angles between vector elements. The derived angles are dithered by the addition of a watermark, and encoded as a pseudo-noise sequence of dither angle offsets. This is followed by a re-quantisat...

In near-lossless image coding, each reconstructed pixel of the decoded image differs from the corresponding one in the original image by not more than a pre-specified value δ. Such schemes are mainly based on predictive coding techniques, which are not capable of scalable decoding. Lossless image coding with scalable decoding is mainly based on integer wavelet transforms. In this paper, methods...

This resembles a fractal transform, and the coefficient values can be calculated using a least squares fit as done by Monro [3] for fractals. The major difference from fractals is that the block(x,y) values are predetermined, and therefore to render the image there is no need for the iteration associated with fractals. The RIBs are effectively the difference between the polynomial coded image a...

Quantisation with Gaussian type states offers certain advantages over other quantisation schemes, in particular, they can serve to regularise formally discontinuous classical functions leading well defined quantum operators. In this work we define a squeezed state two dimensions using several families of for one- and two-mode configurations. The completeness relations the are exploited order ta...