Methods approaching the problem of the Hermite Birkhoff interpolation of scattered data by combining Shepard operators with local interpolating polynomials are not new in literature [1–4]. In [3] combinations of Shepard operators with bivariate Hermite-Birkhoff local interpolating polynomials are introduced to increase the algebraic degree of precision (polynomial reproduction degree) of Shepar...

The term "T-strain" was applied by Shepard (1954) to a strain of mycoplasma which, when cultured on solid agar, shows morphological differences from other members of the species (Shepard, 1956). Shepard (1954) recovered T-strain mycoplasmas from urethral scrapings taken from cases of nongonococcal urethritis (NGU) and later found that this organism was present in some 70 per cent. of such cases...

This paper is about the visualization of positive data subject to positivity constraint. It presents an algorithm that produces a non-negative graph through scattered positive data sets using Modified Quadratic Shepard method. The objective of positivity has been achieved by scaling of basis functions as far as it is necessary. This method is improved in that it produces the positive graph with...

Inverse Distance Weighted (IDW) based interpolation method is also widely used in earth science studies. In the classical IDW method, directional distribution of reference points around point to be estimated within critical circle and slope differences are not taken into consideration. On other hand, IDW-based developed by Shepard, ratio distances radius (r), anisotropy this study, results Shep...

Many scientific applications use scattered data originated from samples. Interpolation techniques are necessary to estimate the values on non-sampled regions. In a previous work, the Modified Shepard interpolation method was implemented and some unpredictable results occurred. Due to the flexibility of parameter definition for the interpolant generation in this method we decided to investigate ...