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2003

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

9 years 5 months ago
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.
Edson Ricardo de Andrade Silva, Creto Augusto Vida
Added 31 Oct 2010
Updated 31 Oct 2010
Type Conference
Year 2003
Where GEOINFO
Authors Edson Ricardo de Andrade Silva, Creto Augusto Vidal, Joaquim B. Cavalcante Neto
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