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High-Quality Parallel-Ray x-Ray CT Back Projection Using Optimized Interpolation

Related publications (34)

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A Box Spline Calculus for the Discretization of Computed Tomography Reconstruction Problems

Michaël Unser, Masih Nilchian

B-splines are attractive basis functions for the continuous-domain representation of biomedical images and volumes. In this paper, we prove that the extended family of box splines are closed under the Radon transform and derive explicit formulae for their ...

Institute of Electrical and Electronics Engineers2012

Wavelet-Based Reconstruction for Magnetic Resonance Imaging

Matthieu Guerquin-Kern

Magnetic resonance imaging (MRI) scanners produce raw measurements that are unfit to direct interpretation, unless an algorithmic step, called reconstruction, is introduced. Up to the last decade, this reconstruction was performed by algorithms of moderate ...

EPFL2012

A Primal-Dual Reconstruction Algorithm For Fluorescence And Bioluminescence Tomography

Michaël Unser, Jean-Charles Baritaux

We introduce a new primal-dual reconstruction algorithm for fluorescence and bioluminescence tomography. As often in optical tomography, image reconstruction is performed by optimizing a multi-term convex cost function. Current reconstruction methods emplo ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

A Primal-Dual Reconstruction Algorithm for Fluorescence and Bioluminescence Tomography

Michaël Unser, Jean-Charles Baritaux

IEEE2011

Use of Learned Dictionaries in Tomographic Reconstruction

Martin Vetterli, Ivana Jovanovic, Vincent Etter

We study the use and impact of a dictionary in a tomographic reconstruction setup. First, we build two different dictionaries: one using a set of bases functions (Discrete Cosine Transform), and the other that is learned using patches extracted from traini ...

Spie-Int Soc Optical Engineering, Po Box 10, Bellingham, Wa 98227-0010 Usa2011

A Box Spline Calculus for Computed Tomography

Michaël Unser

IEEE2010

Optical Imaging Using Binary Sensors

Michaël Unser, François Aguet, Aurélien Bourquard

This paper addresses the problem of reconstructing an image from 1-bit-quantized measurements, considering a simple but nonconventional optical acquisition model. Following a compressed-sensing design, a known pseudo-random phase-shifting mask is introduce ...

OSA2010

Inverse problems in acoustic tomography

Ivana Jovanovic

Acoustic tomography aims at recovering the unknown parameters that describe a field of interest by studying the physical characteristics of sound propagating through the considered field. The tomographic approach is appealing in that it is non-invasive and ...

EPFL2008

Hard X-ray phase tomography with low-brilliance sources

Christian David

We report on a method for tomographic phase contrast imaging of centimeter sized objects. As opposed to existing techniques, our approach can be used with low-brilliance, lab based x-ray sources and thus is of interest for a wide range of applications in m ...

2007

Direct Fourier Tomographic Reconstruction Image-To-Image Filter

Jean-Philippe Thiran, Meritxell Bach Cuadra, Dominique Zosso

We present an open-source ITK implementation of a direct Fourier method for tomographic reconstruction, applicable to parallel-beam x-ray images. Direct Fourier reconstruction makes use of the central-slice theorem to build a polar 2D Fourier space from th ...

2007