Publications related to Discretization of the radon transform and of its inverse by spline convolutions

Variational B-Spline Level-Set: A Linear Filtering Approach for Fast Deformable Model Evolution

Michaël Unser, Philippe Thévenaz, Olivier Bernard

In the field of image segmentation, most level-set-based active-contour approaches take advantage of a discrete representation of the associated implicit function. We present in this paper a different formulation where the implicit function is modeled as a ...

IEEE2009

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

Michaël Unser, Cédric René Jean Vonesch

We present a fast variational deconvolution algorithm that minimizes a quadratic data term subject to a regularization on the

\ell ^{ 1 }

-norm of the wavelet coefficients of the solution. Previously available methods have essentially consisted in alte ...

IEEE2008

Inverse problems in acoustic tomography

Ivana Jovanovic

Acoustic tomography aims at recovering the unknown parameters that describe a field of interest by studying the physical characteristics of sound propagating through the considered field. The tomographic approach is appealing in that it is non-invasive and ...

EPFL2008

Edge Defect Detection in Ceramic Tile Based on Boundary Analysis Using Fuzzy Thresholding and Radon Transform

Gelareh Mohammadi, Mohsen Pashna

Applying image processing technology and machine vision in industry have had significant development in recent decade. Tile and ceramic industry was not excluded form this matter. By using image processing techniques in production line of this industry, it ...

2008

Direct Fourier Tomographic Reconstruction Image-To-Image Filter

Jean-Philippe Thiran, Meritxell Bach Cuadra, Dominique Zosso

We present an open-source ITK implementation of a direct Fourier method for tomographic reconstruction, applicable to parallel-beam x-ray images. Direct Fourier reconstruction makes use of the central-slice theorem to build a polar 2D Fourier space from th ...

2007

A Snake-Based Approach to Accurate Determination of Both Contact Points and Contact Angles

Patrik Willi Hoffmann, Daniel Sage, Laura Barbieri, Gerit Kulik

We present a new method based on B-spline snakes (active contours) for measuring high-accuracy contact angles. In this approach, we avoid making physical assumptions by defining the contour of the drop as a versatile B-spline curve. When useful, we extend ...

Elsevier2006

Nonideal Sampling and Interpolation from Noisy Observations in Shift-Invariant Spaces

Michaël Unser

Digital analysis and processing of signals inherently relies on the existence of methods for reconstructing a continuous-time signal from a sequence of corrupted discrete-time samples. In this paper, a general formulation of this problem is developed that ...

IEEE2006

An Optimized Spline-Based Registration of a 3D CT to a Set of C-Arm Images

Michaël Unser, Philippe Thévenaz

We have developed an algorithm for the rigid-body registration of a CT volume to a set of C-arm images. The algorithm uses a gradient-based iterative minimization of a least-squares measure of dissimilarity between the C-arm images and projections of the C ...

Hindawi Publishing Corporation2006

Rate-Distortion Optimized Tree-Structured Compression Algorithms for Piecewise Polynomial Images

Martin Vetterli, Pier Luigi Dragotti, Minh Do, Rahul Shukla

This paper presents novel coding algorithms based on tree-structured segmentation, which achieve the correct asymp- totic rate-distortion (R-D) behavior for a simple class of signals, known as piecewise polynomials, by using an R-D based prune and join sch ...

2005

Comparing Algorithms for Reconstructing Digital Off-Axis Fresnel Holograms

Michaël Unser

Three-dimensional information about an object, such as its depth, may be captured and stored digitally in a single, two-dimensional, real-valued hologram acquired in an off-axis geometry. Digital reconstruction of the hologram permits the quantitative retr ...

SPIE2005

Discretization of the radon transform and of its inverse by spline convolutions

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Variational B-Spline Level-Set: A Linear Filtering Approach for Fast Deformable Model Evolution

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

Inverse problems in acoustic tomography

Edge Defect Detection in Ceramic Tile Based on Boundary Analysis Using Fuzzy Thresholding and Radon Transform

Direct Fourier Tomographic Reconstruction Image-To-Image Filter

A Snake-Based Approach to Accurate Determination of Both Contact Points and Contact Angles

Nonideal Sampling and Interpolation from Noisy Observations in Shift-Invariant Spaces

An Optimized Spline-Based Registration of a 3D CT to a Set of C-Arm Images

Rate-Distortion Optimized Tree-Structured Compression Algorithms for Piecewise Polynomial Images

Comparing Algorithms for Reconstructing Digital Off-Axis Fresnel Holograms

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

Variational B-Spline Level-Set: A Linear Filtering Approach for Fast Deformable Model Evolution

Direct Fourier Tomographic Reconstruction Image-To-Image Filter

Inverse problems in acoustic tomography

Edge Defect Detection in Ceramic Tile Based on Boundary Analysis Using Fuzzy Thresholding and Radon Transform

A Snake-Based Approach to Accurate Determination of Both Contact Points and Contact Angles

Nonideal Sampling and Interpolation from Noisy Observations in Shift-Invariant Spaces

Comparing Algorithms for Reconstructing Digital Off-Axis Fresnel Holograms

An Optimized Spline-Based Registration of a 3D CT to a Set of C-Arm Images

Rate-Distortion Optimized Tree-Structured Compression Algorithms for Piecewise Polynomial Images