Fonctions-spline et espérances conditionnelles de champs gaussiens
Fractal trigonometric approximation.
Free-form surfaces for scattered data by neural networks.
Fundamental quadratic splines and applications
General Franklin systems as bases in H¹[0,1]
By a general Franklin system corresponding to a dense sequence of knots 𝓣 = (tₙ, n ≥ 0) in [0,1] we mean a sequence of orthonormal piecewise linear functions with knots 𝓣, that is, the nth function of the system has knots t₀, ..., tₙ. The main result of this paper is a characterization of sequences 𝓣 for which the corresponding general Franklin system is a basis or an unconditional basis in H¹[0,1].
Generalized L-splines and the multi-point boundary value problem [Abstract of thesis]
Generalized splines in and optimal control.
-spaces, p≤1, and spline systems
Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation
This work is devoted to the numerical simulation of the Vlasov equation using a phase space grid. In contrast to Particle-In-Cell (PIC) methods, which are known to be noisy, we propose a semi-Lagrangian-type method to discretize the Vlasov equation in the two-dimensional phase space. As this kind of method requires a huge computational effort, one has to carry out the simulations on parallel machines. For this purpose, we present a method using patches decomposing the phase domain, each patch being...
Hyperbolic splines with given derivatives at the knots
Identities for piecewise polynomial spaces determinated by connection matrices.
Identities for piecewise polynomial spaces determined by connection matrices. (Summary).
Image Compression with Schauder Bases
As is known, color images are represented as multiple, channels, i.e. integer-valued functions on a discrete rectangle, corresponding to pixels on the screen. Thus, image compression, can be reduced to investigating suitable properties of such, functions. Each channel is compressed independently. We are, representing each such function by means of multi-dimensional, Haar and diamond bases so that the functions can be remembered, by their basis coefficients without loss of information. For, each...
Inf-convolution spline pour l'approximation de données discontinues
Interpolating and smoothing biquadratic spline
The paper deals with the biquadratic splines and their use for the interpolation in two variables on the rectangular mesh. The possibilities are shown how to interpolate function values, values of the partial derivative or values of the mixed derivative. Further, the so-called smoothing biquadratic splines are defined and the algorithms for their computation are described. All of these biquadratic splines are derived by means of the tensor product of the linear spaces of the quadratic splines and...
Interpolating bases for spaces of differentiable functions
Interpolation by Generalized Splines.
Interpolation by natural cubic spline.
Interpolation by periodic splines with Birkhoff knots.
Interpolation de Lagrange par des splines quadratiques sur un quadrilatère de