Concept

Radon transform

Related publications (75)

Fibertract segmentation in position orientation space from high angular resolution diffusion MRI

Jean-Philippe Thiran, Reto Meuli, Patric Hagmann, Lisa Jonasson, Van Jay Wedeen, Thomas Deffieux

Abstract In diffusion MRI, standard approaches for fibertract identification are based on algorithms that generate lines of coherent diffusion, currently known as tractography. A tract is then identified as a set of such lines selected on some criteria. In ...

2006

Review of iterative Fourier-transform algorithms for beam shaping applications

Hans Peter Herzig

We present a comparison of some of the most used iterative Fourier transform algorithms (IFTA) for the design of continuous and multilevel diffractive optical elements (DOE). Our aim is to provide optical engineers with advice for choosing the most suited ...

2004

Pratiques sociales et transformations de l'espace

Vincent Kaufmann, Yves Pedrazzini, Jean-Claude Bolay

Here, the authors analyze the capacity of the social actors to transform the urban reality. ...

2004

A sampling theorem for the radon transform of finite complexity objects

Martin Vetterli, Irena Maravic

See full text ...

2002

Discretization of the radon transform and of its inverse by spline convolutions

Michaël Unser, Michael Stefan Daniel Liebling, Stefan Horbelt

We present an explicit formula for B-spline convolution kernels; these are defined as the convolution of several B-splines of variable widths hi and degrees ni. We apply our results to derive spline-convolution-based algorithms for two closely related prob ...

IEEE2002

Wavelets on the sphere : Implementation and approximations

Pierre Vandergheynst, Laurent Jacques

We continue the analysis of the continuous wavelet transform on the 2-sphere, introduced in a previous paper. After a brief review of the transform, we define and discuss the notion of directional spherical wavelet, i.e., wavelets on the sphere that are se ...

2002

Video-rate three-dimensional optical coherence tomography

René Salathé, Theo Lasser, Boris Clément Karamata, Markus Laubscher

Most current optical coherence tomography systems provide two-dimensional cross-sectional or en face images. Successive adjacent images have to be acquired to reconstruct three-dimensional objects, which can be time consuming. Here we demonstrate three-dim ...

Optical Society of America2002

Variational Approach to Tomographic Reconstruction

Michaël Unser, Thierry Blu

We formulate the tomographic reconstruction problem in a variational setting. The object to be reconstructed is considered as a continuous density function, unlike in the pixel-based approaches. The measurements are modeled as linear operators (Radon trans ...

SPIE2001

Generalized Sampling: A Variational Approach

Michaël Unser, Thierry Blu

We consider the problem of reconstructing a multidimensional and multivariate function ƒ:

ℜ ^{ m }

\rightarrow

ℜ ^{ n }

from the discretely and irregularly sampled responses of q linear shift-invariant filters. Unlike traditional approaches which r ...

SampTA2001

Splines and wavelets for image warping and projection

Stefan Horbelt

This thesis investigates advanced signal processing concepts and their application to geometric processing and transformations of images and volumes. In the first part, we discuss the class of transformations that project volume data onto a plane using par ...

EPFL2001

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Generalized Sampling: A Variational Approach

Michaël Unser, Thierry Blu

We consider the problem of reconstructing a multidimensional and multivariate function ƒ:

ℜ ^{ m }

\rightarrow

ℜ ^{ n }

from the discretely and irregularly sampled responses of q linear shift-invariant filters. Unlike traditional approaches which r ...

SampTA2001