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spherical harmonics造句
1. Three dimensional hydrogen atom spherical harmonics visualization. 2. These are called spherical harmonics. 3. Sampling data for BRDF is analyzed with Spherical Harmonics, and then the BRDF surface could be rendered fast under environment illumination. 4. Using vertex shader instructions the polynomial coefficients and spherical harmonics functions can be fast calculated, and then the corresponding irradiance environment maps are also generated. 5. The recursive formulas of the spherical harmonics integral between every other order are proved to be fast and stable by numerical computation. 5. Wish you can benefit fromand make progress everyday! 6. The false scattering and ray effect in spherical harmonics method, including P-1 and P-3 approximation, is studied. 7. A 3D model similarity matching algorithm based on spherical harmonics descriptor is proposed in this paper. 8. The approach starts from an analysis of spherical harmonics and finds out a quadratic polynomial form of environment mapping. 9. The dependent variables are expanded in series of spherical harmonics truncated rhomboidally at wavenumber 15. 10. In addition, the ray effect in the spherical harmonics approximation mitigates with increasing optical thickness within gray medium. 11. According as the expanding of spherical harmonics of the gravitational potential, the radial correction formula and the estimating error model are given. 12. The recurrence relations about the quantum number 1 of the spherical harmonics are derived with ladder operator. 13. The prevalent formula for nonzero perturbation matrix in the secular equation is gained by the perturbation theory in degenerate state and property of spherical harmonics function. 14. The two components have identical vertical structure and physical process. The global spectral model component uses spherical harmonics as horizontal basis functions. 15. A 3-D face model is constructed by the imaging theory and spherical harmonics, combining with the principle of 3-D projection and PCA. 16. As a result, we analyze the characteristics of the spherical harmonics spectral method. 17. In Chapter 4, we discuss a fast prefiltering method for environment maps based on spherical harmonics, which is the analogue on the sphere to the Fourier basis on the line or circle. 18. In this paper the barotropic vorticity equation, expanded with spherical harmonics is integrated.