Teleseismic wavefield interpolation and signal extraction using high-resolution linear radon transforms

Interpolation and signal extraction of teleseismic wavefields with the linear radon transform

We present a new method for data interpolation and signal/noise separation of teleseismic wavefields recorded by regional seismic arrays. The method exploits the plane wave nature of direct arrivals and receiver-side arrivals from regional scale structure by decomposing the recorded wavefield into a plane wave basis using the linear radon transform. Casting the radon transform as an inversion p...

Multi-linear Generalised Radon Transforms 2

holds for all open sets U ⊆ Σ in a sufficiently small neighbourhood of the origin. We have already seen that (1) holds for non-trivial values of p only if the family Xπ of associated vector fields satisfies the Hörmander condition. A deeper fact is that the converse of this statement is true. This converse may be expressed in a very precise fashion which relates the range of Lebesgue exponents ...

Multi - linear Generalised Radon Transforms 1 Jonathan

Image Resolution Enhancement using Multi - wavelet Transforms with Interpolation Technique

Images with high resolution give better results for image processing applications. Image resolution enhancement is the process of manipulating an image so that resultant image is more suitable for specific application such as medical, agricultural, satellite image processing. This paper is based on image resolution enhancement by combination of SWT & DWT .In DWT main loss is on high frequency c...

Radon Transforms and the Finite General Linear Groups

Using a class sum and a collection of related Radon transforms, we present a proof G. James’s Kernel Intersection Theorem for the complex unipotent representations of the finite general linear groups. The approach is analogous to that used by F. Scarabotti for a proof of James’s Kernel Intersection Theorem for the symmetric group. In the process, we also show that a single class sum may be used...