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 ...

This paper discusses the problem of visualizing data where there are underlying constraints that must be preserved. For example, we may know that the data are inherently positive. We show how the Modified Quadratic Shepard method, which interpolates scattered data of any dimensionality, can be constrained to preserve positivity. We do this by forcing the quadratic basis functions to be positive...