International audiencePiecewise Polynomial Reconstruction of Functions from Simplified Morse-Smale complex: The main contribution is the application of a shapepreserving spline surfaces for reconstruction of a scalar field from a given Morse-Smale complex. In particular we approximate the jagged 1-cells on the complex with smooth B-splines. We introduce a C1 monotone Sibson spline interpolant and combine it with a reparameterization to reconstruct the 2-cells individually. The resulting surface piecewise smooth and obeys completely the given MS complex
Recently, new polynomial approximation formulas were proposed for the reconstruction of compactly su...
This paper describes a topological approach for simplifying continuous functions defined on volumetr...
We propose a new approach to reconstruct nondiscrete models from gridded volume samples. As a model...
International audiencePiecewise Polynomial Reconstruction of Functions from Simplified Morse-Smale c...
International audienceMorse-Smale (MS) complexes have been proposed to visualize topological feature...
Critical points of a scalar function (minima, saddle points and maxima) are important features to ch...
We present a construction for polynomial spline surfaces with a piecewise linear field of normal vec...
This Master's thesis is about constructing curves or surfaces by interpolating points with a given n...
Dans ce travail nous nous intéressons au problème d approximation ou d interpolation des données sur...
Splines are piecewise polynomial functions of a given order of smoothness r on a triangulated region...
The thesis covers two topics. First, the completeness question is adressed, i.e., whether the hierar...
This paper investigates the topology of piecewise linear scalar functions, such as the interpolation...
AbstractWe study the reconstruction of a function defined on the real line from given, possibly nois...
In a series of three articles, spline approximation is presented from a geodetic point of view. In p...
Recently, a new bivariate simplex spline scheme based on Delaunay configuration has been introduced ...
Recently, new polynomial approximation formulas were proposed for the reconstruction of compactly su...
This paper describes a topological approach for simplifying continuous functions defined on volumetr...
We propose a new approach to reconstruct nondiscrete models from gridded volume samples. As a model...
International audiencePiecewise Polynomial Reconstruction of Functions from Simplified Morse-Smale c...
International audienceMorse-Smale (MS) complexes have been proposed to visualize topological feature...
Critical points of a scalar function (minima, saddle points and maxima) are important features to ch...
We present a construction for polynomial spline surfaces with a piecewise linear field of normal vec...
This Master's thesis is about constructing curves or surfaces by interpolating points with a given n...
Dans ce travail nous nous intéressons au problème d approximation ou d interpolation des données sur...
Splines are piecewise polynomial functions of a given order of smoothness r on a triangulated region...
The thesis covers two topics. First, the completeness question is adressed, i.e., whether the hierar...
This paper investigates the topology of piecewise linear scalar functions, such as the interpolation...
AbstractWe study the reconstruction of a function defined on the real line from given, possibly nois...
In a series of three articles, spline approximation is presented from a geodetic point of view. In p...
Recently, a new bivariate simplex spline scheme based on Delaunay configuration has been introduced ...
Recently, new polynomial approximation formulas were proposed for the reconstruction of compactly su...
This paper describes a topological approach for simplifying continuous functions defined on volumetr...
We propose a new approach to reconstruct nondiscrete models from gridded volume samples. As a model...