We consider the inverse prolem of the recovery of a gauge field in R 2 modulo gauge transformations from the non-abelian Radon transform. A global uniqueness theorem is proven for the case when the gauge field has a compact support. Extensions to the attenuated non-abelian Radon transform in R 2 and applications to the inverse scattering problem for the Schrödinger equation in R 2 with non-comp...

Cone-beam CT (CBCT) scanners are based on volumetric tomography, using a 2D extended digital array providing an area detector [1,2]. Compared to traditional CT, CBCT has many advantages, such as less X-ray beam limitation, and rapid scan time, etc. However, in CBCT images the x-ray beam has lower mean kilovolt (peak) energy, so the metal artifact is more pronounced on. The position of the shado...

Based on an explicit diagonalisation of Abel’s integral operator, we give an inversion of the plane Radon transformation R(f)(p, θ) = ∫ {x cos(θ)+y sin(θ)=p} f(x, y) ds by diagonalising explicitly R̃(f)(r, φ) = R(f(r, φ)/r). We calculate the spectrum and the kernel of R̃.

1 Summary The Radon-Nikodym derivative between a centered fractional Brownian motion Z and the same process with constant drift is derived by nding an integral transformation which changes Z to a process with independent increments. A representation of Z through a standard Brownian motion on a nite interval is given. The maximum likelihood estimator of the drift and some other applications are ...

As particular case of the Radon-Nikodym theorem we show that any count distribution is a weighted Poisson distribution (WPD) and, more generally, a weighted version of any other count distribution with suitable support. Several properties and consequences of this result are then given. With a condition on their supports, we deduce that two count distributions are connected by the weightening op...

Affine transformations are a well-known robustness issue in many multimedia fingerprinting systems. Since it is quite easy with modem computers to apply affine transformations to audio, image and video content, there is an obvious necessity for affine transformation resilient fingerprinting. In this paper we present a new method for affine transformation resilient fingerprints that is based upo...