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球面调和函数的空间表示及其应用
引用本文:高海峰,黄有度.球面调和函数的空间表示及其应用[J].合肥工业大学学报(自然科学版),2011(10):1588-1592.
作者姓名:高海峰  黄有度
作者单位:合肥工业大学数学学院;
摘    要: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.

关 键 词:球面调和函数  线性基  预计算处理

Research on spatial representation of spherical harmonics and its application
GAO Hai-feng,HUANG You-du.Research on spatial representation of spherical harmonics and its application[J].Journal of Hefei University of Technology(Natural Science),2011(10):1588-1592.
Authors:GAO Hai-feng  HUANG You-du
Institution:GAO Hai-feng,HUANG You-du(School of Mathematics,Hefei University of Technology,Hefei 230009,China)
Abstract: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 real-time controlling of certain illumination environment can be realized with the required rendering speed.
Keywords:spherical harmonics(SH)  linear basis  pre-computed process  
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