The Distance Conjecture holds that any infinite-distance limit in the scalar field moduli space of a consistent theory quantum gravity must be accompanied by tower light particles whose masses scale exponentially with proper distance $\Vert\phi\Vert$ as $m \sim \exp(- \lambda \Vert\phi\Vert)$, where $\lambda$ is order-one Planck units. While evidence for this conjecture formidable, there at pre...

In this paper, pipelining concepts is adopted to increase the processing speed of image scaling algorithms. The proposed algorithm consists of pipelining stages along with a linear space-variant edge detector, a low complicacy sharpening spatial filter, and a simplified bilinear interpolation. The linear space-edge detector is used to discover the image edges by a lowcost catching technique. Th...

Pan-sharpening is also known as image fusion, resolution merge, image integration, and multi sensor data fusion has been widely applied to imaging sensors. The purpose of pan-sharpening is to fuse a low spatial resolution multispectral image with a higher resolution panchromatic image to produces an image with higher spectral and spatial resolution. In this paper, we investigated these existing...

The block-matching and 3-D filtering (BM3D) algorithm is currently one of the most powerful and effective image denoising procedures. It exploits a specific nonlocal image modelling through grouping and collaborative filtering. Grouping finds mutually similar 2-D image blocks and stacks them together in 3-D arrays. Collaborative filtering produces individual estimates of all grouped blocks by f...

We give here a simple proof of weighted logarithmic Sobolev inequality, for example for Cauchy type measures, with optimal weight, sharpening results of BobkovLedoux [12]. Some consequences are also discussed.