The constructed surface is c2 continuous on the whole domain , and is a piecewise cubic parametric polynomial on every subdomains . the interpolating surface can preserve the convexity , concavity , inflection property and monotonicity of the data set . in the end , each algorithm brought forward in the paper is exemplified , at the same time , error is discussed 3针对保形曲面插值问题，提出了一种插值于给定数据点集的参数型保形曲面插值算法，所构造的曲面在整个区域上是c ~ 2连续的，在每个子区域上是分片三次参数多项式，并且保持被插函数集的所有子区域的边界及其内部的轴向单调性、凸凹性以及拐点性质。
( 6 ) the real time dynamic lod model - generating algorithm of triangle net is studied . on the bases of existed algorithms , the functions of boundary points processing and form - keeping on boundary are added , and the relation between eyes - model distance and the resolution of simplified model is established 通过在己有算法基础上添加边界点的处理和边界保形，并将模型视距与简化模型分辨率相关联，可生成连续的lod模型，为真实感模型反求提供了方便的lod模型生成工具。
And the gist of dividing subarray is proposed . according to the gist , a new subarray whose configuration is simple is proposed , and makes its grating lobes unobvious and its adapted antenna pattern close to that of the full optimum processing by confusing the periodicity of subarry and making the power of output noise equal 然后在此基础上提出了一种新的结构简单的子阵结构,并且通过打乱子阵排列的周期性以及保证各子阵输出噪声功率相等,该子阵的栅瓣效应几乎可以忽略且其自适应方向图保形良好。
The author acquires three main results , i . e . an approach of constructing polynomial curves with some shape parameters , c2 - continuous spline curves of degree 4 with some shape parameter , and planar piecewise bezier curve of 3 4th and 6th degree with given control polygon and the curve segments are joined together with c1 c2 and c3 - continuity 作者在后三章得到了本文的三个主要结果： ( 1 )构造了一种带形状参数的多项式曲线； ( 2 )构造了一类c ~ -连续带形状参数的四次样条逼近曲线； ( 3 )构造了与给定多边形相切的可调控保形分段c ~ 1三次、 c ~ 3六次b zier样条曲线。
This thesis explains the necessity of the character recognition technology of the computer at first , describe the meaning in which the handwritten numeral discerns ; pretreatment technology of handwritten numeral recognition , including two value , line segmentation , word segmentation smooth , removing noising , standardization and thinning are discussed two value concretely discusses whole threshold value , some threshold value , dynamic threshold value and utilize space information to carry on threshold , which are several kinds of common method of choosing threshold value , especially utilize space information to carry on threshold value is describe in detail ; adopting to the foundation of thinning based on mathematics morphology , thinning algorithm of serials same and thinning algorithm of protecting shape are discussed ; afterwards , according to principle ' s diagram of the on - line character recognition , by analyzing the structure feature of the handwritten numeral , this thesis has proposed the online recognition te chnology of the free handwritten numeral based on the stroke feature and the online recognition technology of the free handwritten numeral based on the multistage classifying device . detail narrated noise removing , stroke characteristic definition and discernment , distance criterion of whole word match ; then under the foundation of handwritten numeral segmentation , off - line handwritten numeral recognition is researched . especially minimum distance classifying device , tree classifying device and adaptive resonance ( art ) network classifying device is discussed at the same time , believes degree analyses are introduced to integrate a lot of classifying devices ; at the end , the typical application of the handwritten numeral recognition was briefly narrated , its application in extensive data statistics , financial affairs , tax , finance and mail sorting have been explored 二值化时对整体阈值二值化、局部阈值二值化、动态阈值二值化和利用空间信息进行阈值选取几种常用的阈值选取方法进行讨论，特别对利用空间信息进行阈值选取进行了详细论述；在对通过对基于数学形态学的细化的基础上，讨论序贯同伦形态细化算法和保形的快速形态细化算法；然后依据联机字符识别原理框图，分析了手写数字的结构特点，提出了基于笔划特征的任意手写数字在线识别技术和基于多级分类器任意手写数字在线识别技术，对其中涉及的笔划识别前的噪声处理、笔划间特征量的定义及识别、整字匹配的距离准则进行了详细叙述；继而在对手写数字的分割的基础下对脱机手写数字识别进行了研究，对基于最小距离分类器字符识别、基于树分类器的字符识别、基于自适应共振( art )网络的字符识别分别进行了详细讨论，并引入置信度分析将多个分类器进行了混合集成；最后简单阐述了手写数字识别的典型应用，对其在大规模数据统计、财务、税务、金融及邮件分拣中的应用进行了探索。
