Concept

Spline (mathematics)

Related publications (233)

Direct Detection of Small Motion from Computed Tomography Images

In this paper we present a new methodology to extract the small error-prone motion recorded during a Computed Tomography (CT) imaging directly from the sinogram. In comparison to the use of the usual reconstructed images, this approach has the advantage to ...

EUSIPCO2013

Characterization of T-splines with reduced continuity order on T-meshes

Annalisa Buffa, Mithlesh Kumar

The use of T-splines [30] in Isogeometric Analysis [24] has been proposed in [5] as a tool to enhance the flexibility of isogeometric methods. If T-splines are a very general concept, their success in isogeometric analysis relies upon some basic properties ...

2012

Spline- and Wavelet-based Models of Neural Activity in Response to Natural Visual Stimulation

Joao Emanuel Felipe Gerhard, Luca Szegletes

We present a comparative study of the performance of different basis functions for the nonparametric modeling of neural activity in response to natural stimuli. Based on naturalistic video sequences, a generative model of neural activity was created using ...

Ieee2012

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

Fourier Approximation Of Symmetric Ideal Knots

Henryk Gerlach, Mathias Carlen

Enforcing a specific symmetry group on a curve, knotted or not, is not trivial using standard interpolations such as polygons or splines. For a prescribed symmetry group we present a symmetrization process based on a Fourier description of a knot. The pres ...

2012

GPU Prefilter for Accurate Cubic B-spline Interpolation

Philippe Thévenaz

Achieving accurate interpolation is an important requirement for many signal-processing applications. While nearest-neighbor and linear interpolation methods are popular due to their native GPU support, they unfortunately result in severe undesirable artif ...

Oxford University Press2012

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

Isogeometric Analysis for Reduced Fluid-Structure Interaction Models in Haemodynamic Applications

Anna Tagliabue

Isogeometric analysis (IGA) is a computational methodology recently developed to numerically approximate Partial Differential Equation (PDEs). It is based on the isogeometric paradigm, for which the same basis functions used to represent the geometry are t ...

2012

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

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