Piecewise L-splines are generalizations of L-splines, in the sense that they satisfy different differential equations in different mesh intervals. Prenter attempted in [P.M. Prenter, Piecewise L-Splines, Numer. Math. 18 (2) (1971) 243–253] to obtain results on piecewise L-splines by generalizing the results of Schultz and Varga on L-splines in [M.H. Schultz, R.S. Varga, L-Splines, Numer. Math. ...

Calibrated data for 65 flat-spectrum extragalactic radio sources are presented at a wavelength of 850μm covering a three-year period from April 1997. The data, obtained from the James Clerk Maxwell Telescope using the SCUBA camera in pointing mode, were analysed using an automated pipeline process based on the Observatory Reduction and Acquisition Control Data Reduction (ORAC-DR) system. This p...

We present an approach for modeling and filtering digitally scanned images. The digital contour of an image is segmented to identify the linear segments, the nonlinear segments and critical corners. The nonlinear segments are modeled by B-splines. To remove the contour noise, we propose a weighted least q m s model to account for both the fitness of the splines as well as their approximate cur...

The purpose of the present study was to investigate the use of personal and impersonal metadiscourse (MD) by Persian- and English-speaking writers in academic writing. For this purpose, 80 abstracts were selected (40 written by Persian-speaking writers and 40 by English-speaking ones) and analyzed. These abstracts were selected from endocrinology and metabolism journals published during 2010 to...

We characterize the dimension of fixed degree functional and implicit algebraic splines in three dimensional (x,y,z) space. For a a given planar triangulation T both functional and implicit algebraic splines interpolate specified Zi values at the vertices Vi = (XitY;) of T. For a three dimensional triangulation 57 the implicit algebraic splines interpolate the boundary vertices Vj = (Xj, Yj I Z...

Splines can be constructed by convolving the indicator function of the Voronoi cell of a lattice. This paper presents simple criteria that imply that only a small subset of such spline families can be refined: essentially the well-known box splines and tensor-product splines. Among the many non-refinable constructions are hex-splines and their generalization to non-Cartesian lattices. An exampl...

In computational dealings with splines, the question of representation is of primary importance. For splines of fixed order on a fixed partition, this is a question of choice of basis, since such splines form a linear space. Only three kinds of bases for spline spaces have actually been given serious attention; those consisting of truncated power functions, of cardinal splines, and of B-splines...

Three types of spherical splines are presented as developed in the recent literature on constructive approximation, with a particular view towards global (and local) geopotential modeling. These are the tensor-product splines formed from polynomial and trigonometric B-splines, the spherical splines constructed from radial basis functions, and the spherical splines based on homogeneous Bernstein...