Publications related to Iterative reconstruction

Suppression of the zero-order in off-axis digital holography through nonlinear filtering

Michaël Unser, Christian Depeursinge, Nicolas Pavillon, Jonas Kühn, Chandra Sekhar Seelamantula

We present experimental validation of a new reconstruction method for off-axis digital holographic microscopy (DHM). This method effectively suppresses the object auto-correlation — namely the zero-order term — from holographic data, thereby improving the ...

2009

Compressed Sensing with Probabilistic Measurements: A Group Testing Solution

Martin Vetterli, Amin Karbasi, Ali Hormati, Mahdi Cheraghchi Bashi Astaneh

Detection of defective members of large populations has been widely studied in the statistics community under the name ``group testing'', a problem which dates back to World War~II when it was suggested for syphilis screening. There the main interest is to ...

2009

Image Reconstruction in the Gigavision Camera

Martin Vetterli, Edoardo Charbon, Sabine Süsstrunk, Luciano Sbaiz, Feng Yang

Recently we have proposed a new image device called the gigavision camera. The main feature of this camera is that the pixels have a binary response. The response function of a gigavision sensor is non-linear and similar to a logarithmic function, which ma ...

2009

Noise-Resilient Group Testing: Limitations and Constructions

Mahdi Cheraghchi Bashi Astaneh

We study combinatorial group testing schemes for learning

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-sparse boolean vectors using highly unreliable disjunctive measurements. We consider an adversarial noise model that only limits the number of false observations, and show that any noise-resilie ...

Springer2009

Capturing 3D Stretchable Surfaces from Single Images in Closed Form

Pascal Fua, Mathieu Salzmann, Vincent Lepetit

We present a closed-form solution to the problem of re- covering the 3D shape of a non-rigid potentially stretchable surface from 3D-to-2D correspondences. In other words, we can reconstruct a surface from a single image without a priori knowledge of its d ...

2009

Robust single-view geometry and motion reconstruction

Mark Pauly, Hao Li

We present a framework and algorithms for robust geometry and motion reconstruction of complex deforming shapes. Our method makes use of a smooth template that provides a crude approximation of the scanned object and serves as a geometric and topological p ...

2009

Nonparametric Least Squares Regression for Image Reconstruction on the Sphere

Pascal Frossard, Ivana Tosic, Tamara Tosic

This paper addresses the problem of interpolating signals defined on a 2-d sphere from non-uniform samples. We present an interpolation method based on locally weighted linear and nonlinear regression, which takes into account the differences in importance ...

2009

A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity

Hoài-Minh Nguyên

We revisit the asymptotic formulas originally derived in [D.J. Cedio-Fengya, S. Moskow, M.S. Vogelius, Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction, Inverse ...

2009

Multiple-wavelength digital holographic microscopy

Jonas Kühn

In this thesis work, we extend digital holographic microscopy (DHM) capabilities and applications range by using from two to twenty different wavelength laser sources, either simultaneously or sequentially. As an overview, we present methods to increase th ...

EPFL2009

Depth-of-field extension and 3D reconstruction in digital holographic microscopy

Christian Depeursinge, Tristan Colomb, Nicolas Pavillon

The limited depth-of-field is a main drawback of microscopy that prevents from observing, for example, thick semi-transparent objects with all their features in focus. Several algorithms have been developed during the past years to fuse images having vario ...

SPIE2009

Iterative reconstruction

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Suppression of the zero-order in off-axis digital holography through nonlinear filtering

Compressed Sensing with Probabilistic Measurements: A Group Testing Solution

Image Reconstruction in the Gigavision Camera

Noise-Resilient Group Testing: Limitations and Constructions

Capturing 3D Stretchable Surfaces from Single Images in Closed Form

Robust single-view geometry and motion reconstruction

Nonparametric Least Squares Regression for Image Reconstruction on the Sphere

A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity

Multiple-wavelength digital holographic microscopy

Depth-of-field extension and 3D reconstruction in digital holographic microscopy

Compressed Sensing with Probabilistic Measurements: A Group Testing Solution

Multiple-wavelength digital holographic microscopy

Depth-of-field extension and 3D reconstruction in digital holographic microscopy

Noise-Resilient Group Testing: Limitations and Constructions

Suppression of the zero-order in off-axis digital holography through nonlinear filtering

Robust single-view geometry and motion reconstruction

Nonparametric Least Squares Regression for Image Reconstruction on the Sphere

Image Reconstruction in the Gigavision Camera

A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity

Capturing 3D Stretchable Surfaces from Single Images in Closed Form