Publications related to Wavelets on non-Euclidean manifolds

3D Shape Extraction of Human Face in Presence of Facial Hair: A Profilometric Approach

The increasing use of 3D modeling of Human Face in Face Recognition systems, User Interfaces, Graphics , Gaming and the like has made it an area of active study. Majority of the 3D sensors rely on color coded light projection for 3D estimation. Such system ...

2007

Fast Wavelet-Regularized Image Deconvolution

Michaël Unser, Cédric René Jean Vonesch

We present a modified version of the deconvolution algorithm introduced by Figueiredo and Nowak, which leads to a substantial acceleration. The algorithm essentially consists in alternating between a Landweber-type iteration and a wavelet-domain denoising ...

IEEE2007

Low-Rate Reduced Complexity Image Compression using Directionlets

Martin Vetterli, Vladan Velisavljevic, Pier Luigi Dragotti

The standard separable two-dimensional (2-D) wavelet transform (WT) has recently achieved a great success in image processing because it provides a sparse representation of smooth images. However, it fails to capture efficiently one-dimensional (1-D) disco ...

2006

Locally Adaptive Wavelet-Based Image Interpolation

Martin Vetterli

We describe a spatially adaptive algorithm for image interpolation. The algorithm uses a wavelet transform to extract information about sharp variations in the low-resolution image and then implicitly applies interpolation which adapts to the image local s ...

2006

Image Coding of 3D Volume Using Wavelet Transform for Fast Retrieval of 2D Images

Vijayaraghavan Thirumalai

An encoder/decoder system for 3D volumetric medical data is proposed. The system allows fast access to any 2D image by decoding only the relevant information from each subband image and thus provides minimum decoding time. This will be of immense use for t ...

2006

On the use of continuous-wavelet transform for fault location in distribution power systems

Mario Paolone

The paper illustrates a procedure based on the continuous-wavelet transform (CWT) for the analysis of voltage transients due to line faults, and discusses its application to fault location in power distribution systems. The analysis carried out shows that ...

2006

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

The approximate behavior of wavelets as differential operators is often considered as one of their most fundamental properties. In this paper, we investigate how we can further improve on the wavelet's behavior as differentiator. In particular, we propose ...

SPIE2005

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson, Iva Bogdanova Vandergheynst

We propose here some basic approaches to direct processing of the

360^o

-images as we take into consideration the geometry of each one. Obviously, the geometry of each of these images is a consequence of the geometry of the sensor's mirror used. This tech ...

2005

Stereographic Wavelet Frames on the Sphere

Pierre Vandergheynst, Laurent Jacques, Iva Bogdanova Vandergheynst

In this paper we exploit the Continuous Wavelet Transform (CWT) on the two dimensional sphere, introduced previously by two of us, to build associated Discrete Wavelet Frames. We first explore half-continuous frames, i.e., frames where the position remains ...

2005

Wavelet Transform Analysis of Truncated Fringe Patterns in 3-D Surface Profilometry

Sai Siva Gorthi

Wavelet transform analysis of projected fringe pattern for phase recovery in 3-D shape measurement of objects is investigated. The present communication specifically outlines and evaluates the errors that creep in to the reconstructed profiles when fringe ...

2005

Wavelets on non-Euclidean manifolds

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3D Shape Extraction of Human Face in Presence of Facial Hair: A Profilometric Approach

Fast Wavelet-Regularized Image Deconvolution

Low-Rate Reduced Complexity Image Compression using Directionlets

Locally Adaptive Wavelet-Based Image Interpolation

Image Coding of 3D Volume Using Wavelet Transform for Fast Retrieval of 2D Images

On the use of continuous-wavelet transform for fault location in distribution power systems

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Stereographic Wavelet Frames on the Sphere

Wavelet Transform Analysis of Truncated Fringe Patterns in 3-D Surface Profilometry

3D Shape Extraction of Human Face in Presence of Facial Hair: A Profilometric Approach

Fast Wavelet-Regularized Image Deconvolution

Low-Rate Reduced Complexity Image Compression using Directionlets

Locally Adaptive Wavelet-Based Image Interpolation

Image Coding of 3D Volume Using Wavelet Transform for Fast Retrieval of 2D Images

Stereographic Wavelet Frames on the Sphere

Wavelet Transform Analysis of Truncated Fringe Patterns in 3-D Surface Profilometry

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

On the use of continuous-wavelet transform for fault location in distribution power systems

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators