4 papers
Vector field multiplier operators and matrix-valued kernel quasi-interpolation
Zhengjie Sun, Biao Huang, Xingping Sun
We develop and analyze a class of matrix-valued spherical-convolution kernels stemming from scaled zonal functions on the unit sphere embedded in . Th…
Quasi-interpolation with random sampling centers
Wenwu Gao, Le Hu, Xingping Sun +1
We propose and study a general quasi-interpolation framework for stochastic function approximation, which stems and draws motivation from convolution-type solutions for certain pra…
Monte Carlo quasi-interpolation of spherical data
Zhengjie Sun, Mengyuan Lv, Xingping Sun
We establish a deterministic and stochastic spherical quasi-interpolation framework featuring scaled zonal kernels derived from radial basis functions on the ambient Euclidean spac…
Spherical quasi-interpolation using scaled zonal kernels
Zhengjie Sun, Wenwu Gao, Xingping Sun
We propose and study a new quasi-interpolation method on spheres featuring the following two-phase construction and analysis. In Phase I, we analyze and characterize a large family…