Publications related to IMAGING - Administration

Harmonic Singular Integrals and Steerable Wavelets in $ L _{ 2 } $ $ (\mathbb{R} ^{ d } $ )

Here we present a method of constructing steerable wavelet frames in

L _{ 2 }

(\mathbb{R} ^{ d }

) that generalizes and unifies previous approaches, including Simoncelli's pyramid and Riesz wavelets. The motivation for steerable wavelets is the nee ...

Elsevier2014

Harmonic singular integrals and steerable wavelets in L-2(R-d)

Michaël Unser, John Paul Ward

Here we present a method of constructing steerable wavelet frames in L-2(R-d) that generalizes and unifies previous approaches, including Simoncelli's pyramid and Riesz wavelets. The motivation for steerable wavelets is the need to more accurately account ...

Academic Press Inc Elsevier Science2014

Accurate image registration using approximate Strang-Fix and an application in super-resolution

Adam James Scholefield, Pier Luigi Dragotti

Accurate registration is critical to most multi-channel signal processing setups, including image super-resolution. In this paper we use modern sampling theory to propose a new robust registration algorithm that works with arbitrary sampling kernels. The a ...

2014

Variational Justification of Cycle Spinning for Wavelet-Based Solutions of Inverse Problems

Michaël Unser, Emrah Bostan, Ulugbek Kamilov

Cycle spinning is a widely used approach for improving the performance of wavelet-based methods that solve linear inverse problems. Extensive numerical experiments have shown that it significantly improves the quality of the recovered signal without increa ...

Ieee-Inst Electrical Electronics Engineers Inc2014

Estimation of phase derivatives using discrete energy separation algorithm in digital holographic interferometry

Pramod Rastogi, Rishikesh Dilip Kulkarni

This Letter proposes a new method for the estimation of the first-and second-order phase derivatives corresponding to strain and curvature from a single fringe pattern in digital holographic interferometry. The method is based on a discrete energy separati ...

Optical Soc Amer2014

Multiscale Interior Tomography Using 1D Generalized Total Variation

Michaël Unser, John Paul Ward

We propose a method for accurate and fast reconstruction of the interior of a 2D or 3D tomographic image from its incomplete local Radon transform. Unlike the existing interior tomography work with 2D total variation, the proposed algorithm guarantees exac ...

The University of Utah2014

Wavelets: on the virtues and applications of the mathematical microscope

Michaël Unser

The paper provides a short introduction to wavelets and discusses their main applications in microscopy and biological imaging. ...

Wiley-Blackwell2014

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

Michaël Unser, Ricard Delgado Gonzalo, Virginie Sophie Uhlmann

We propose a novel active contour for the analysis of filament-like structures and boundaries—features that traditional snakes based on closed curves have difficulties to delineate. Our method relies on a parametric representation of an open curve involvin ...

IEEE2014

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

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Harmonic Singular Integrals and Steerable Wavelets in $ L _{ 2 } $ $ (\mathbb{R} ^{ d } $ )

Harmonic singular integrals and steerable wavelets in L-2(R-d)

Accurate image registration using approximate Strang-Fix and an application in super-resolution

Variational Justification of Cycle Spinning for Wavelet-Based Solutions of Inverse Problems

Estimation of phase derivatives using discrete energy separation algorithm in digital holographic interferometry

Multiscale Interior Tomography Using 1D Generalized Total Variation

Wavelets: on the virtues and applications of the mathematical microscope

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

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

Exponential Hermite Splines For The Analysis Of Biomedical Images

Harmonic Singular Integrals and Steerable Wavelets in $ L _{ 2 } $ $ (\mathbb{R} ^{ d } $ )

Wavelets: on the virtues and applications of the mathematical microscope

Accurate image registration using approximate Strang-Fix and an application in super-resolution

Harmonic singular integrals and steerable wavelets in L-2(R-d)

Variational Justification of Cycle Spinning for Wavelet-Based Solutions of Inverse Problems

Estimation of phase derivatives using discrete energy separation algorithm in digital holographic interferometry

Multiscale Interior Tomography Using 1D Generalized Total Variation

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

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

Exponential Hermite Splines For The Analysis Of Biomedical Images