Concept

Euclidean group

Related publications (42)

Partial and approximate symmetry detection for 3D geometry

"Symmetry is a complexity-reducing concept [...]; seek it every-where." - Alan J. Perlis Many natural and man-made objects exhibit significant symmetries or contain repeated substructures. This paper presents a new algorithm that processes geometric models ...

2006

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

Chemical shift anisotropy tensors of carbonyl, nitrogen, and amide proton nuclei in proteins through cross-correlated relaxation in NMR spectroscopy

Geoffrey Bodenhausen

The principal components and orientations of the chem. shift anisotropy (CSA) tensors of the carbonyl (C'), nitrogen (N), and amide proton (HN) nuclei of 64 distinct amide bonds in human ubiquitin have been detd. in isotropic soln. by a set of 14 complemen ...

2005

Planar arrangement of high-dimensional biomedical data sets by isomap coordinates

Daniel Thalmann, Sofiane Sarni, Pablo Stanislaw De Heras Ciechomski, Ik Soo Lim

This article addresses 2-dimensional layout of high-dimensional biomedical datasets, which is useful for browsing them efficiently We employ the isomap technique, which is based on classical MDS (multi-dimensional scaling) but seeks to preserve the intrins ...

IEEE2003

Planar arrangement of high-dimensional biomedical data sets by Isomap coordinates

Daniel Thalmann, Sofiane Sarni, Pablo Stanislaw De Heras Ciechomski, Ik Soo Lim

This article addresses 2-dimensional layout of high-dimensional biomedical datasets, which is useful for browsing them efficiently. We employ the Isomap technique, which is based on classical MDS (multi-dimensional scaling) but seeks to preserve the intrin ...

Institute of Electrical and Electronics Engineers Computer Society2003

Planar arrangement of high-dimensional biomedical data sets by isomap coordinates

Daniel Thalmann, Sofiane Sarni, Pablo Stanislaw De Heras Ciechomski

IEEE2003

Registration and visualization of transcranial magnetic stimulation on magnetic resonance images

Olivier Cuisenaire, Benoît Macq

We propose a method for the registration of MRI brain images with the physical space. Points on the patients scalp are acquired using a magnetic-field digitizer. The registration transform is the rigid transform that minimizes the mean square distance bet ...

IEEE2001

Automatic Morphometry of Nerve Histological Sections

Olivier Cuisenaire, Benoît Macq

A method for the automatic segmentation, recognition and measurement of neuronal myelinated fibers in nerve histological sections is presented. In this method, the fiber parameters i.e. perimeter, area, position of the fiber and myelin sheath thickness are ...

2000

Automatic segmentation and measurement of axones in microscopic images

Olivier Cuisenaire

We propose a method for the automatic segmentation, recognition and measurement of neuronal fibers in microscopic images of nerves. This permits a quantitative analysis of the distribution of the areas of the fibers, while nowadays such morphometrical meth ...

IEEE1999

A Contribution to 3D Digital Lines

We propose in this paper a new approach to three-dimensional digital lines (3DDLs) based on the study of the integer lattice generated by the projection of Z3 onto an euclidean plane which reduces the problem to dimension 2. The many properties of this lat ...

1995

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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