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
Isomorphism of some anisotropic Besov and sequence spaces
An isomorphism between some anisotropic Besov and sequence spaces is established, and the continuity of a Stieltjes-type integral operator, acting on some of these spaces, is proved.