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Splines and wavelets for image warping and projection

Publications associées (162)

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3D encoding/2D decoding of medical data

Jean-Philippe Thiran, Gloria Menegaz

We propose a fully three-dimensional wavelet-based coding system featuring 3D encoding/2D decoding functionalities. A fully three-dimensional transform is combined with context adaptive arithmetic coding; 2D decoding is enabled by encoding every 2D subband ...

2003

Mathematical Properties of the JPEG2000 Wavelet Filters

Michaël Unser, Thierry Blu

The LeGall 5⁄3 and Daubechies 9⁄7 filters have risen to special prominence because they were selected for inclusion in the JPEG2000 standard. Here, we determine their key mathematical features: Riesz bounds, order of approximation, and regularity (Hölder a ...

IEEE2003

A Fast and Robust 3D Feature Extraction Algorithm for Structured Environment Reconstruction

Roland Siegwart, Jan Weingarten

This paper describes an algorithm for generating compact feature-based 3D models of indoor environments with a mobile robot. The emphasis lies on the high performance of the algorithm, its possible incremental use, as well as its wide applicability to a va ...

2003

Multiresolution-Based Registration of a Volume to a Set of Its Projections

Michaël Unser, Philippe Thévenaz

We have developed an algorithm for the rigid-body registration of a 3D CT to a set of C-arm images by matching them to computed cone-beam projections of the CT (DRRs). We precomputed rescaled versions (pyramid) of the CT volume and of the C-arm images. We ...

SPIE2003

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

Michaël Unser, Michael Stefan Daniel Liebling, Stefan Horbelt

We present an explicit formula for B-spline convolution kernels; these are defined as the convolution of several B-splines of variable widths hi and degrees ni. We apply our results to derive spline-convolution-based algorithms for two closely related prob ...

IEEE2002

Splines: A Perfect Fit for Medical Imaging

Michaël Unser

Splines, which were invented by Schoenberg more than fifty years ago, constitute an elegant framework for dealing with interpolation and discretization problems. They are widely used in computer-aided design and computer graphics, but have been neglected i ...

SPIE2002

Rate-distortion optimal mesh simplification for communications

Laurent Balmelli

The thesis studies the optimization of a specific type of computer graphic representation: polygon-based, textured models. More precisely, we focus on meshes having 4-8 connectivity. We study a progressive and adaptive representation for textured 4-8 meshe ...

EPFL2002

Mesh Optimization Using Global Error with Application to Geometry Simplification

Martin Vetterli, Thomas Liebling, Laurent Balmelli

Meshes with (recursive) subdivision connectivity, such as subdivision surfaces, are increasingly popular in computer graphics. They present several advantages over their Delaunay-type based counterparts, e.g., Triangulated Irregular Networks (TINs), such a ...

Elsevier2002

Pointshop 3D: An interactive system for point-based surface editing

Mark Pauly

We present a system for interactive shape and appearance editing of 3D point-sampled geometry. By generalizing conventional 2D pixel editors, our system supports a great variety of different interaction techniques to alter shape and appearance of 3D point ...

2002

Point-based computer graphics

Mark Pauly

Introduction • point rendering • how adapt point densities? • for a given viewing position, how can we get n points that suffice for that viewer? • how render the points? • given n points, how can we render an image from them? ...

Eurographics Association2002