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Splines: A Perfect Fit for Medical Imaging

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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 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

Image Segmentation With Background Correction Using A Multiplicative Smoothing-Spline Model

Michaël Unser, Aurélien Bourquard, Ramtin Madani

This paper presents an image-segmentation method which compensates multiplicative distortions based on smooth regularity assumptions. In this work, we generalize the original Chan-Vese functional to handle a continuous multiplicative bias. In the derivatio ...

Ieee2012

Image Segmentation with Background Correction Using a Multiplicative Smoothing-Spline Model

Michaël Unser, Aurélien Bourquard, Ramtin Madani

IEEE2012

Optimally Localized Wavelets and Smoothing Kernels

Kunal Narayan Chaudhury

It is well-known that the Gaussian functions and, more generally, their modulations-translations (the Gabor functions) have the unique property of being optimally localized in space and frequency in the sense of Heisenberg's uncertainty principle. In this ...

EPFL2011

Computing correspondences in geometric data sets

Mark Pauly, Hao Li

Shape registration and, more generally speaking, computing correspondence across shapes are fundamental problems in computer graphics and vision. Problems from this area show up in many diff erent variants such as scan registration, deformable shape matchi ...

2011

Convex Formulation of Region-based Image Registration

Shima Sepehri

Medical Imaging is a necessary component of many applications, such as clinical diagnosis, event tracking and decision making. Segmentation of anatomical organs in a medical image is a helpful processing of medical images for clinical purposes. Accurate ma ...

2011

A Stochastic Minimum-Norm Approach to Image and Texture Interpolation

Michaël Unser, Hagay Kirshner

We introduce an exponential-based consistent approach to image scaling. Our model stems from Sobolev reproducing kernels, motivated by their role in continuous-domain stochastic autoregressive processes. The proposed approach imposes consistency and applie ...

EURASIP2010

A Box Spline Calculus for Computed Tomography

Michaël Unser

IEEE2010

Isogeometric Analysis for Electromagnetic Problems

Annalisa Buffa, Rafael Vazquez Hernandez

Isogeometric analysis (IGA) is a novel discretization method, introduced by Hughes , which is based on nonuniform rational B-splines (NURBS). Among other features, IGA uses directly the geometry description coming from computer-aided design software withou ...

2010