spherical harmonics 中文意思是什麼
spherical harmonics
解釋
球函數-
These are called spherical harmonics.
這些叫做球諧函數。 -
Firstly, in spherical coordinate system, the sovp formulation for the time - harmonic electromagnetic fields of the current dipole in conductive infinite - space is derived, using reciprocity theorem and transforming relations between special functions. then, selecting appropriate coordinate system, using superposition principle, the boundary - value problem of modified magnetic vector potential on the problem of a time - harmonic current dipole in spherical conductor is solved and analytical solution is obtained. finally, by means of the addition formulas of legendre polynomial and spherical harmonics function of degree n and order 1, the analytical solution in spherical coordinate system specially located is transformed into that in spherical coordinate system arbitrarily located
首先利用特殊函數間的轉化關系和互易定理推導得到了無限大導體空間中球坐標下時諧電流元電磁場的二階矢量位形式：然後利用疊加原理，選擇合適坐標系，求解了導體球中時諧電流元的修正磁矢量位邊值問題，得到了問題的解析解；最後依據不同坐標系下電磁場解的轉化原理，藉助勒讓德多項式和n次1階球諧函數的加法公式，將坐標系特殊安放時的電磁場解析解變換到坐標系一般安放時的解析解，給出了球內電場和球外磁場的並矢格林函數。 -
The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated legendre polynomial. the relations among the magnetic vector potential, the modified magnetic vector potential and the second - order vector potential ( sovp ) are shown going forward one by one. it is explained that the solutions of electromagnetic fields in different coordinate systems can be transformed and an example having analytical solution is given
利用坐標旋轉后球坐標變量間的關系和連帶勒讓德多項式的性質推導得到了n次1階球諧函數的加法公式；以遞進的方式說明磁矢量位、修正磁矢量位與二階矢量位的關系，寫出了引入二階矢量位的過程；以時諧場矢量邊值問題為例，闡明了不同坐標系下電磁場解的相互轉化原理，給出了一個解析解的轉化例子；在球坐標下，引入了較球矢量波函數更普遍的兩類矢量函數，給出了其在球面上的正交關系。 -
Sampling data for brdf is analyzed with spherical harmonics, and then the brdf surface could be rendered fast under environment illumination
物體表面雙向反射分佈函數的采樣數據利用球面調和函數系進行分析，然後可以在環境光源下作快速繪制。 -
The two components have identical vertical structure and physical process. the global spectral model component uses spherical harmonics as horizontal basis functions
這兩部分採用相同的垂直結構和物理過程，都用球諧函數作為水平基本函數。 -
In this paper, we not only analysed the different effects of the disturbing gravitation on the trajectories of different ranges, but also discussed shortcomeings of the spherical harmonics model by which the external gravitation potential of the earth is shown usually. when the model is applied directly to the calculation of the trajectory, since the recurrent calculation can not be avoided, an increase in orders of model will result on a decrease in the speed of calculation
本文重點分析了擾動引力對不同射程導彈的落點偏差的影響，並且討論了原有計算擾動引力的球諧函數法在計算速度上的缺陷（由於勒讓德函數的遞推計算，使得隨著模型階數的增加模型的計算速度下降） ，然後對其進行改進使其能更好的適用於彈道計算。 -
With the recurrent calculation got rid of, the speed of calculation is increased. practical calculations have shown that the new model not only have the high precision but also enables us to enhance the speed of calculation 6 or 7 times. so it is testified that the new model is superior to the spherical harmonics model
通過將換極后的球諧函數用於彈道計算，得出換極后的球諧函數不僅在計算精度上可達較高要求，而且計算速度也明顯優于未換極的球諧函數（新模型的計算速度是約為換極前模型的6 7倍） 。 -
In this thesis, we propose a new spherical. harmonics based 3d texture model - illumination - dependent texture ( idt ). this texture model concentrates on presenting the 3d surface detail effects due to light movement, and ignores the effects caused by variation of viewing direction
本文提出了一種新的基於球面調和函數分析的3d紋理技術?光照相關紋理，著重表現3d紋理表面在不同光照下的視覺效果，同時忽略視角因素的影響。 -
A 3d model similarity matching algorithm based on spherical harmonics descriptor
一種基於球面調和描述子的3維模型相似性比較演算法
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