A Strategy for the Interpolation of Surfaces through the Use of Basis Functions

For the construction of digital terrain models based on surface interpolation, it is defined a bivariate function ¡£¢¥¤§¦©¨ that interpolates a finite set of  sample points, § ¢¤  ¦©¨  ¦   , such that, ¡£¢¤  ¦¨      . In this work, it is presented a strategy for the generation of interpolation surfaces through the use of basis functions. This methodology is based on a work by Chaturvedi and Piegl, where improvements related to the construction of the basis functions were made. The proposed strategy allows a larger expansion of the basis function’s support region, represented by the interior of a trajectory curve, composed of quadratic rational Bézier segments and reduces the approximation error between the reference surface and the interpolation surface.

• Type: Conference
• Year: 2003
• Where: GEOINFO
• Authors: Edson Ricardo de Andrade Silva, Creto Augusto Vidal, Joaquim B. Cavalcante Neto
• Keywords: Basis Function, GEOINFO 2003, GEOINFO 2007, Interpolation Surface, Surface Interpolation