Utilización de árboles de cubrimiento para interpolar usando funciones de base radial enfocado a la visualización cientíca de grandes volúmenes de datos

Abstract

In the following paper it is developed a new method to interpolate large volumes of scattered date, focused mainly on the results of the Mesh-free Methods, Points Methods and the Particles Methods application. Through this one, local radial basis functions are used as interpolating functions. Also, cover trees are used as the data structure that allows to accelerate the localization of the data that influences to interpolate the values at a new point, speeding up the application of scientific visualization techniques to generate images from large data volumes from the application of Mesh-free Methods, Points and Particles Methods, in the resolution of diverse models of physics-mathematics. As an example, the results obtained after applying this method using the local interpolation functions of Shepard are shown.

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