球面

In order to reduce spherical aberration, the intraocular lens is needed to be aspherical.

为了减小球差的影响，人工晶状体的表面结构需采用非球面设计。

Based on the summarizing of the exiting algorithms of the texture mapping and antialiasing, this paper goes deeply into the basic theory and processing of texture mapping. The texture compress algorithm which can satisfy the need of the memory and time is given for the stochastic sampling in the inverse texture mapping; the geometry transformation in the texture mapping are discussed and the concepts of the unitary parametrization and the patch parametrization is proposed, some kinds of the unitary parametrization methods of parametric surfaces and the geometry transformation in the patch parametrization are also presented; in order to solve the aliasing in the parametrization of intermediate surface-sphere in two-part texture mapping, an area-preserving transformation is presented also; to improve the quality of the graph the aliasing in the texture mapping is analyzed from the aspect of signal process, and the modified summed-area tables algorithms is proposed; the distortion of the scanline conversion algorithms under perspective transformation is analyzed and the proper interpolation algorithm is presented so the aliasing problem of the polyhedral object after the unitary parametrization is efficiently solved.

本文在总结现有的纹理映射和反走样算法的基础上，深入研究了纹理映射的基本原理与过程，根据反向纹理映射对纹理随机采样的特殊要求，提出了一种可满足存储空间和寻址时间的纹理压缩存储算法；通过对纹理映射中几何变换理论的进一步深入探讨，提出了整体参数化和面片参数化的概念，并给出了参数化曲面的各种整体参数化方法和面片参数化的几何变换形式；针对现有的两步映射算法所存在的中间曲面—球面的参数化问题，提出一种等积映射方法，较好地实现了由非参数化面片拼接而成的多面体表面的纹理映射；从信号采样的角度深入分析了纹理映射中走样产生的原因，提出了改进的区域求和表算法，使图形生成的效果有所提高；还分析了一般的扫描线算法在透视变换中所存在的问题，提出了一种正确的插值算法，从而解决了整体参数化后多面体表面纹理映射的几何变形问题。

The formula group for the design of multi-phase micro Fresnel lens according to scalar diffraction theory was given and the transmission theory of spherical wave were used to deduce the relation of focal distance of the micro lens with spectrum resolution. According to the relation spectrum resolution is inverse proportional to focal distance given a certain incident wavelength and phase number, and the theoretic formula is consistent with reported experimental result.

光谱分辨率是评价衍射微透镜分光特性的主要指标，根据标量衍射理论，给出了多台阶位相型菲涅尔透镜的设计公式，并利用球面波的传输理论推导了微透镜主焦距与光谱分辨率之间的函数关系，得出在入射波长和位相台阶数一定的情况下，光谱分辨率与中心焦距之间呈反比；理论推导的结果与已发表的实验结果一致。

Parameterizing a 3D mesh means finding an isomorphic mapping between a discrete surface patch and a planar mesh.

三角网格的参数化是指从空间三角网格到参数区域的一个同构映射，参数区域的选择可以是平面区域、球面等。

The singularity and dexterity of spherical five-bar mechanisms are calculated and analyzed based on Jacobin matrix of mechanisms.

首先建立了球面五杆机构的运动学正、反解模型，并导出了机构的速度方程和雅可比矩阵。

The velocity equation imelvding the actuator and the end effector velocities, and the Jacobin matrix of mechanisms are derived.

针对非对称球面五杆机构，研究了机构的奇异轨迹曲线和灵巧度。

For example, machining centers and flexible manufacturing technology, break through the many varieties of case processing technology difficulties; spiral bevel gear machining technology to solve high-speed sewing machine driving accuracy and functioning of the key issues of noise; holes line grinding processing technology to meet the needs a key-hole parts precision and roughness of the basic requirements; sphere processing technology, adapted to the high-speed packet transmission machine components both inside and outside the spherical exercise the continuous improvement of machining accuracy; precision casting process technology and advanced heat treatment technology for the development of industrial machine effective support.

例如，加工中心及柔性制造技术，通过对案件的处理技术困难，许多品种突破；螺旋锥齿轮加工技术来解决高速缝纫机发球准确率和噪音的关键问题发挥作用；孔磨削加工技术路线的满足需求的关键孔零件的精度和粗糙度的基本要求；领域的加工技术，适应高速数据包传输内外球面行使加工精度的不断提高机械零件，精密铸造工艺技术和先进的热为工业机器处理技术发展的有效支持。

Only four surfaces are possible for such embedding:the sphere,the torus,the Klein bottle and the projective plane.

这样的嵌入只能在球面、环面、克莱因瓶和射影平面上实现，其五边形面的个数分别为12，0，0和6。

In the four section,we give a kind of method of construction method,we still give an alogrithm for computing Lagrange interpolation polynomial on sphere.and wo give a piecewise interpolation polynomial on sphere and its error estimate.

最后，给出了一种球面分片插值和它的误差估计。

Based upon the introduction above, the works in this paper focused on the simplifiedanalysis method of space grids structures and the research on wind-resistantperformance of single-layer latticed dome.

基于以上几点，本文的研究工作主要集中于空间网格结构的静动力简化分析方法和单层球面网壳结构的抗风性能研究。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。