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Topologically certified approximation of umbilics and ridges on polynomial pa...
Given a smooth surface, a blue (red) ridge is a curve along which the maximum (minimum) principal curvature has an extremum along its curvature line. Ridges are curves... -
The implicit structure of ridges of a smooth parametric surface
Given a smooth surface, a blue (red) ridge is a curve along which the maximum (minimum) principal curvature has an extremum along its curvature line. Ridges are curves... -
Smooth surfaces, umbilics, lines of curvatures, foliations, ridges and the me...
The understanding of surfaces embedded in R^3 requires local and global concepts, which are respectively evocative of differential geometry and differential topology.... -
Diffusion Tensor Magnetic Resonance Imaging : Brain Connectivity Mapping
Diffusion tensor MRI probes and quantifies the anisotropic diffusion of water molecules in biological tissues, making it possible to non-invasively infer the... -
Estimating Differential Quantities using Polynomial fitting of Osculating Jets
This paper addresses the pointwise estimation of differential properties of a smooth manifold S ---a curve in the plane or a surface in 3D--- assuming a point cloud... -
Molecular Shape Analysis based uponthe Morse-Smale Complexand the Connolly Fu...
Docking is the process by which two or several molecules form a complex. Docking involves the geometry of the molecular surfaces, as well as chemical and energetical... -
On the angular defect of triangulations and the pointwise approximation of cu...
Let S be a smooth surface of E^3, p a point on S, k_m, k_M, k_G and k_H the maximum, minimum, Gauss and mean curvatures of S at p. Consider a set {p_ipp_(i+1)}... -
Efficient Surface Remeshing by Error Diffusion
We present a novel technique, both flexible and efficient, for interactive remeshing of irregular geometry. First, the original (arbitrary genus) mesh is substituted... -
Elasticity on a Thin Shell: Formal Series Solution
The three-dimensional equations of elasticity are posed on a domain of R^3 defining a thin shell of thickness 2ε. The traction free conditions are imposed on the upper... -
Differential Geometry-Based Tools for Automatic CAD Modeling from Range Images
Fichier généré en 2012 à partir des fichiers Word de 1997 - La thèse remaniée a été publiée en livre aux Presses de l'Ecole des Mines en 1999 :... -
Geometric phases in quantum control disturbed by classical stochastic processes
International audience -
A Finite-Element Method for Maxwell System Preserving Gauss Laws and Energy
We present a finite-element method for simulating the time domain Maxwell system in 3 dimensions for unstructured meshes. The geometrical approach of the equations of... -
Multiscale Extraction and Representation of Features from Medical Images
For automatic registration of medical images, we must search for geometric features that are invariant both with respect to rigid transformations and to smooth changes... -
The Extremal mesh and the understanding of 3D surfaces
This paper is about a new concept for the description of 3D smooth surfaces : the extremal mesh. In previous morks, we have shown how to extract the extremal lines... -
A Class of generalized Laplacians on vector bundles devoted to multi-channels...
In the context of fiber bundles theory, there exist some differential operators of order 2 , called generalized Laplacians, acting on sections of vector bundles over... -
Discrete-time quantum walks: continuous limit and symmetries
The continuous limit of one dimensional discrete-time quantum walks with time- and space-dependent coefficients is investigated. A given quantum walk does not... -
Canonical forms of time-delay systems
International audience
