球面调和函数的空间表示及其应用

Research on spatial representation of spherical harmonics and its application

文章通过讨论球面调和函数的相关理论与性质,由几种角度直观展示出球面调和基函数在空间中的几何结构及特征,并将其作为线性基的一种形式应用于光传输过程的预计算处理过程中,通过优化相关算法的性能,在一定程度上改进了模型的渲染效果,在保证足够渲染速度的同时,实现对光照环境的实时控制。

In this paper, the theories of spherical harmonics（SH） and its properties are studied, and the spatial geometric structures and characteristics of SH are displayed in several ways intuitively. As a kind of linear basis, the SH function is applied to the pre-computed process of the light transport. The rendering effects can be improved by optimizing the properties of the existing algorithms. And the re- al-time controlling of certain illumination environment can be realized with the required rendering speed.