Publications related to Snakes with Tangent-Based Control and Energies for Bioimage Analysis

Similarity-Based Shape Priors for 2D Spline Snakes

We present a new formulation of a shape space containing all continuously defined 2D spline curves up to a similarity transform of a reference shape. We are able to measure a distance between an arbitrary curve and the shape space itself. Our contribution ...

IEEE2015

Ellipse-Preserving Hermite Interpolation and Subdivision

Michaël Unser

We introduce a family of piecewise-exponential functions that have the Hermite interpolation property. Our design is motivated by the search for an effective scheme for the joint interpolation of points and associated tangents on a curve with the ability t ...

Elsevier2015

VENUS-LEVIS and its spline-Fourier interpolation of 3D toroidal magnetic field representation for guiding-centre and full-orbit simulations of charged energetic particles

Jonathan Graves, Wilfred Anthony Cooper, David Pfefferlé, Cyril Misev

Curvilinear guiding-centre drift and full-orbit equations of motion are presented as implemented in the code{VENUS-LEVIS} code. A dedicated interpolation scheme based on Fourier reconstruction in the toroidal and poloidal direction and cubic spline in the ...

Elsevier2014

Muscles in a Shoulder Model: Identification of the necessary number of muscle cables

Jeannette Liniger

The shoulder complex is a complex articulation of the human body. It consists of several bones and joints and is moved and stabilized by 16 muscles. The muscle forces can not be measured experimentally, but can be computed using numerical methods. An exist ...

2014

Cardinal Hermite Exponential Splines: Theoretical Insights and Applications to Active Contours

Michaël Unser, Virginie Sophie Uhlmann

Cardinal Hermite exponential spline functions are a generalization of the classical cardinal Hermite polynomial splines. In this work we consider the 4-dimensional space

ε _{ 4 }

= {1, x,

e ^{ \alpha x }

,

e ^{ -\alpha x }

} with α ∈ $ ℝ ^{ + } ...

SMAI-SIGMA2014

Exponential Hermite Splines For The Analysis Of Biomedical Images

Michaël Unser, Ricard Delgado Gonzalo, Virginie Sophie Uhlmann

We present a new exponential B-spline basis that enables the construction of active contours for the analysis of biomedical images. Our functions generalize the well-known polynomial Hermite B-splines and provide us with a direct control over the tangents ...

Ieee2014

Exponential Hermite Splines for the Analysis of Biomedical Images

Michaël Unser, Ricard Delgado Gonzalo, Virginie Sophie Uhlmann

We present a new exponential B-spline basis that enables the construction of active contours for the analysis of biomedical images. Our functions generalize the well-known polynomial Hermite B-splines and provide us with a direct control over the tangents ...

IEEE2014

Linear Interpolation Of Biomedical Images Using A Data-Adaptive Kernel

Michaël Unser, John Paul Ward, Aurélien Bourquard, Hagay Kirshner

In this work, we propose a continuous-domain stochastic model that can be applied to image data. This model is autoregressive, and accounts for Gaussian-type as well as for non-Gaussian-type innovations. In order to estimate the corresponding parameters fr ...

IEEE2013

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

Snakes With an Ellipse-Reproducing Property

Michaël Unser, Philippe Thévenaz, Ricard Delgado Gonzalo, Chandra Sekhar Seelamantula

We present a new class of continuously defined parametric snakes using a special kind of exponential splines as basis functions. We have enforced our bases to have the shortest possible support subject to some design constraints to maximize efficiency. Whi ...

IEEE2012

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

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Similarity-Based Shape Priors for 2D Spline Snakes

Ellipse-Preserving Hermite Interpolation and Subdivision

VENUS-LEVIS and its spline-Fourier interpolation of 3D toroidal magnetic field representation for guiding-centre and full-orbit simulations of charged energetic particles

Muscles in a Shoulder Model: Identification of the necessary number of muscle cables

Cardinal Hermite Exponential Splines: Theoretical Insights and Applications to Active Contours

Exponential Hermite Splines For The Analysis Of Biomedical Images

Exponential Hermite Splines for the Analysis of Biomedical Images

Linear Interpolation Of Biomedical Images Using A Data-Adaptive Kernel

GPU Prefilter for Accurate Cubic B-spline Interpolation

Snakes With an Ellipse-Reproducing Property

Similarity-Based Shape Priors for 2D Spline Snakes

Ellipse-Preserving Hermite Interpolation and Subdivision

Exponential Hermite Splines for the Analysis of Biomedical Images

Linear Interpolation Of Biomedical Images Using A Data-Adaptive Kernel

Muscles in a Shoulder Model: Identification of the necessary number of muscle cables

Cardinal Hermite Exponential Splines: Theoretical Insights and Applications to Active Contours

GPU Prefilter for Accurate Cubic B-spline Interpolation

Exponential Hermite Splines For The Analysis Of Biomedical Images

VENUS-LEVIS and its spline-Fourier interpolation of 3D toroidal magnetic field representation for guiding-centre and full-orbit simulations of charged energetic particles

Snakes With an Ellipse-Reproducing Property