Abstract：For the traditional calculation method for Gaussian filtering coefficient, when the filtering radius is large, the reference spherical radius is small, and the spherical harmonic order is high, there is often computational instability. In order to solve this problem, the extended exponential method is applied to the backward recursive calculation of the spherical harmonic coefficient of Gaussian filtering. The numerical calculation and practical applications show that, the method proposed in this paper realizes the high-precision computation of ultra-high-degree Gaussian filtering with arbitrary radius on any radius sphere.
QIAN Bohao,DU Jinsong,WANG Linsong et al. A Precise Calculation Method of Gaussian Filtering Coefficients in Spherical Harmonic Domain by Backward Recursion and Exponent Extension[J]. jgg, 2023, 43(9): 963-969.
