We present an adaptive filtering method to denoise downhole microseismic data. The methodology uses the apex-shifted parabolic Radon transform. The algorithm is implemented in two steps. In the first step we apply the ...

We present a unified approach to the study of Radon transforms related to symmetric groups and to general linear groups GLn(q), regarded as q−analogues of the former. In both cases, we define a sequence of generalized ...

In an effort to deal with many ionizing radiation imaging mechanisms involving the Compton effect, we study a Radon transform on circular cone surfaces having a fixed axis direction, which is called here conical Radon ...

In an effort to promote Compton scatter tomography (CST) as an adequate modality for imaging the inner parts of large objects limited in a half-space of ℝ, we show that the standard CST can be ‘improved’ in some particular ...

We consider the problem of reconstructing a measurable function over G from a countable subset ofsamples, taken accordingly to a Poisson random point process, when G is a locally compact abelian group. Thisresults are ...

In this paper, methods are presented for automatic detection of the nipple and the pectoral muscle edge in mammograms via image processing in the Radon domain. Radon-domain information was used for the detection of ...