This work is concerned with how we can mix conditions of both interpolation and approximation in order to find a blending surface joining two or more surfaces when approximating a given data point set, and modelled from a certain partial differential equation. We establish a variational characterization for the solution of this problem and we establish some convergence result. Finally, we discretize this problem in a finite element space
Partial differential equation (PDE)-based geometric modelling and computer animation has been extens...
AbstractIn this paper we present a numerical approximation of curves and surfaces from a given scatt...
In this paper, we develop a new approach to blending of constant and varying parametric surfaces wi...
In this paper we describe methods for computing smoothing and near-interpolatory (variational) subdi...
AbstractIn this paper we present an approximation problem of parametric curves and surfaces from a L...
AbstractWe study the problem of constructing a smooth approximant from a finite set of patches given...
AbstractWe deal with a smoothing method of constructing some discontinuous curve or surface from a L...
AbstractThis paper deals with the problem of constructing some free-form curves and surfaces from gi...
AbstractInterproximation methods for surfaces can be used to construct a smooth surface interpolatin...
Three methods are proposed to construct a piecewise Hermite interpolation surface (PHIS), which is a...
International audienceWe study the problem of constructing a smooth approximant from a finite set of...
Surface fitting and smoothing splines techniques are widely used in practice to fit data arising fro...
AbstractThis paper is Part III of the study on blending surfaces by partial differential equations (...
A new smoothing method is proposed which can be viewed as a finite element thin plate spline. This a...
Methods for the construction of constrained and smoothing subdivided surfaces will be presented. The...
Partial differential equation (PDE)-based geometric modelling and computer animation has been extens...
AbstractIn this paper we present a numerical approximation of curves and surfaces from a given scatt...
In this paper, we develop a new approach to blending of constant and varying parametric surfaces wi...
In this paper we describe methods for computing smoothing and near-interpolatory (variational) subdi...
AbstractIn this paper we present an approximation problem of parametric curves and surfaces from a L...
AbstractWe study the problem of constructing a smooth approximant from a finite set of patches given...
AbstractWe deal with a smoothing method of constructing some discontinuous curve or surface from a L...
AbstractThis paper deals with the problem of constructing some free-form curves and surfaces from gi...
AbstractInterproximation methods for surfaces can be used to construct a smooth surface interpolatin...
Three methods are proposed to construct a piecewise Hermite interpolation surface (PHIS), which is a...
International audienceWe study the problem of constructing a smooth approximant from a finite set of...
Surface fitting and smoothing splines techniques are widely used in practice to fit data arising fro...
AbstractThis paper is Part III of the study on blending surfaces by partial differential equations (...
A new smoothing method is proposed which can be viewed as a finite element thin plate spline. This a...
Methods for the construction of constrained and smoothing subdivided surfaces will be presented. The...
Partial differential equation (PDE)-based geometric modelling and computer animation has been extens...
AbstractIn this paper we present a numerical approximation of curves and surfaces from a given scatt...
In this paper, we develop a new approach to blending of constant and varying parametric surfaces wi...