Based on deep researching of electronic canceling image - rotation technique , it designs high speed digital video processing module of fpga + dsp hardware , provides the relating arithmetic , and adopts fpga to realize video value insert which has a strict timing characteristic and the image - space transformation with the complex control requirement , the trigonometric function with a lot of operation is finished by the dsp 本文在对电子消像旋技术深入研究的基础上,根据消像旋算法需求和实时性要求,设计了fpga + dsp硬件构架的高速数字视频处理平台vsb ,并提出一种与之相适应的算法解决方案。基于vsb硬件资源采用fpga完成时序要求较严格的视频预插值操作和控制复杂的图像坐标变换;由dsp完成控制简单但运算量较大的三角函数运算。
This paper focuses on the research of the stress mechanism of the ribbed shell structure in statics , dynamics and under the explosive load on the basis of the engineering practice of cave depot of single aircraft . in this paper , according to the classical shell theories , the basic differential equilibrium of the ribbed shell structure and the finite element analysis of 3d rippled plate are established , in which the function of annular ribs reinforcement bars and 3d ripped steel plates are distributed in the range of the steel , and the functions along the longitude direction of tension , bending , and torsion are neglected ; applied with dynamic analytical theory , the dynamic model of ribbed shell structure and the analytical theory model of elastic - plastic are set up ; the triangle series method is used to solve the displacement and stress under the distributed load and the concentrated load of the ribbed shell structure 本文以军用机场地面单机掩蔽库工程建设为工程背景，首次对内衬三维波纹钢板混凝土拱型复合结构的受力机理进行了静力、动力和爆炸荷载的分析研究。根据将横肋、钢筋及三维波纹钢板的作用均匀分布在壳体范围内的情况，忽略横肋、钢筋及三维波纹钢板沿壳体母线方向的抗拉、抗弯及其抗扭作用，首次推导出了内衬三维波纹钢板混凝土壳体的微分平衡方程，建立了有限元计算模型，并采用三角函数法，求解了三维波纹钢板混凝土拱型复合结构在分布荷载和集中荷载作用下的位移响应和应力响应，并与普通壳体进行了比较。
And then we introduce bezier , b - spline and non - polynomial curves and surfaces modeling , which include l - splines , helix splines , splines in tension and c - curves etc . by analyzing the characters of bezier curves and b - spline curves , we construct trigonometric polynomial curves in the space of trigonometric functions , which assume the characters of b zier curves and b - spline curves 阐述了cagd中参数曲线曲面造型的发展历史并介绍了bzier方法、 b样条方法以及非多项式曲线曲面造型方法，后者包括l -样条、螺旋样条、张力样条以及c -曲线等。文章以b zier曲线和b样条曲线的特点为基础，在三角函数空间中构造一组具有上述两类曲线特性的三角函数多项式曲线，称其为t - b zier曲线和t - b样条曲线。
8 . this thesis initiates the 8 - quadrant angle computing method . this method can rapidly recognize the adjacency relationship of all the edges linked with the same node and avoid the complicated computing of trigonometric function . furthermore , this method can rapidly construct the adjacency relationship of all the arcs linked with the same node , in the construction of topological data structure in gis , which is helpful to the rapid construction of topological structure 创造性地提出了a象限角度计算法，它可以实现快速确定与同一结点相连接的所有边的邻接关系；避免了复杂的三角函数计算，而且该算法还可以在gis的拓扑数据结构建立过程中，快速地构建与同一结点相连的所有弧段间的邻接关系，为拓扑结构的快速建立创造了条件。
( 2 ) by the jacobi elliptic function expansion method and computer symbolic systems ( maple , matlab or mathematica ) , many exact periodic solutions of nonlinear wave equations can be obtained and under some conditions , these solutions degenerate solitary wave solutions , shock wave solutions , trigonometric function solutions respectively ( 2 )利用jacobi椭圆函数展开法和数学计算软件( maple ， matlab ， mathematica等) ，可以求得一类常系数非线性发展方程的双周期解，这些解能退化成孤立子解、冲击波解、三角函数解。
Random process theory is a kind of effective mathematical tool to handle random vibration problem . through frequency spectra and time domain analysis for random course , the seemed complex vibration time - history can be transferred to trigonometric function series , thus makes it have certain periodic feature 随机过程是处理随机振动问题的一种有效的数学工具,通过对随机过程进行时域分析和频谱分析,可以将看似非常复杂和毫无规律的随机振动表示为三角函数的级数形式,从而使其具备了一定的周期性特征。
