An efficient spatial interpolation method involving position shading

Abstract

The inverse distance weight interpolation method has a wide range of applications in aerospace, but it only considers the distance relationship and ignores the azimuth relationship. This shortcoming is addressed by the adjusted inverse distance weight interpolation method with position shading, although it is only appropriate for plane interpolation. Based on the basic assumption of this method, according to the different spatial distribution of normalized sample points, this paper formulates a unified uniformity quantization standard based on the plane uniform angle and spherical uniform angle, and proposes a three-dimensional spatial interpolation method. This study proposes a new technique that significantly increases the effectiveness of interpolation by searching sample points close to the interpolation points. Through the calculation of test functions, it is found that compared with the inverse distance weight interpolation method, the error of the proposed method issignificantly reduced. The proposed method is applied to the aerodynamic loads interpolation of a civil aircraft nacelle, and the results show that the proposed method has the advantages of high efficiency and high accuracy.