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The first is how to determine boundary curve of surface in triangular domain and after deducing, simultaneous equations is proposed in the dissertation. The second is how to determine the coupling parameter. The third is present simultaneous equations in order to obtain G1 continuous considering the continuity between two triangular patches and the fitness rules.

具体的工作体现在三个方面:一是对拟合条件下的三角域曲面边界线的确定,本文经过推演给出了求解方程组;二是对耦合参数的确定;三是在考虑相邻两片三角域曲面连续性的同时将拟合的规则纳入,给出了求解方程组以达到G 1连续。

A complete lattice L is a quasicontinuous lattice iff the lattice of all Scott open subsets of L is hypercontinuous and hypercontinuous lattices are continuous lattices which are Hausdorff in their interval topology.

Heckmann从幂domain的构造角度研究了拟连续domain并给出了拟连续domain的拓扑式刻画(见[25]),超连续格具有良好的性质,如可用有限正则关系进行表示,有纯序论的刻画等。

Making use of the continuity of the shape function of moving least squares methods, this scheme can obtain fine fitting results and achieve multi-level continuous range image surface fitting, which are convenient for calculating surface characteristics of range image.

该方法充分利用最小二乘法形函数多阶连续的特点,能够保持在较高拟合精度的前提下获得深度图像曲面多阶连续的拟合结果,这种拟合结果为计算深度图像的曲面特性提供了便利。

Degree B-Spline curve is chosen to fit the longitudinal settlement curves, which solves the problem of curvature continuum for joint notes due to its continuous second derivative vector and overcomes the efficiency and accuracy of computing curvature with 3 points by hand.

选取三次B样条方法对隧道纵向累计沉降曲线进行拟合,利用三次B样条曲线二阶导矢连续的特性,解决了拟合曲线在曲线连接点处曲率的连续性问题,克服了以往人工计算隧道曲率半径在效率和准确性方面的缺陷;并在此基础上,推导了隧道纵向变形曲率与纵向螺栓拉应力、相对弯曲与纵向螺栓剪应力之间的关系; 3。

A new curvature-based algorithm in free-form curve fitting was proposed to fit a 2D NURBS profile with an arc spline ,where a new form of curvature formula with matrix representation was also proposed,and then the arc spline tool path with G~(1) continuity was generated.

给出了一种平面曲线轮廓的圆弧样条拟合及刀具路径生成算法,该算法面向零件轮廓的光顺性刀具路径生成,通过应用曲线的曲率关系,对以NURBS表示的被拟合自由曲线按参数递增的方向用G1连续的圆弧或直线段逐段拟合,并生成相应的圆弧样条刀具路径,从而实现零件曲线轮廓表面的光顺加工。

In chapter one,the backgrounds and current situation of operator theory in Banach space are introduced and the preliminaries of Banach space are given.In chapter two,we study the existence and uniqueness of fixed point for decreasing strict-set-contraction operator in product space.Under the weak continuous condition,we obtain the existence and uniqueness of fixed point for decreasing operator and we give an application of these results; In chapter three,we get several positive fixed point theorems of decreasing operator and the existence and uniqueness theorems of positive fixed point for operator C=A+B,C=D-A in real Banach space where the order is decided by a normal cone; In chapter four,we obtained some existence and uniqueness theorems of fixed point for some mixed monotone operators in semi-ordered Banach space.

在第一章中,主要介绍了半序Banach空间非线性算子的研究历史背景、现状以及半序Banach空间中的预备知识;在第二章中,我们利用半序方法研究了Banach乘积空间中严格集压缩减算子不动点存在唯一性问题,在弱连续的条件下,得到了不动点的存在唯一性和迭代收敛性,同时,给出了它们的一些应用;在第三章中,我们建立了拟弱连续减算子的正不动点定理,并证明了算子C=A+B,C=D-A的正不动点存在唯一性定理;在第四章中,我们得到了半序Banach空间中混合单调算子的不动点存在性及唯一性定理。

Oilcan is a kind of typical rigid target with big backscattering coefficient, which takes on point figure if the resolution of SAR image is not very high; these point targets to be recognized gather together, and form a target region with some distribution area; the center of the region appears as a beeline, and the speckle noise appears scattered, therefore, considering the different grey distributions between point target and speckle noise region and the space geometry distribution, these point targets can be recognized by this algorithm.

由于在高分辨率情况下,合成孔径雷达图像中油罐个体的散射分别体现为由若干高亮度点围成的椭圆,待识别油罐目标的模糊边缘呈不连续的椭圆状,因此从二值化后的SAR图像中识别出拟目标的不连续边缘,判断其是否满足目标边缘特性来识别出最终结果,采用该方法解决了这类高分辨率下椭圆状目标的识别问题。本文运用了基于Gauss核函数支持向量机的SAR图像典型目标识别方法。

A new method, suitable for identification of distributed loading on continuous model with orthogonal polynomials by using limited measured data is introduced.

用正交多项式拟合的方法对连续系统的分布动态载荷进行识别的技术,为用有限的测量信息进行连续系统分布载荷的识别提供了可行的方法。

Making use of the construction of the Smyth power domain,it is proved that the category of continuous semilattices is reflective in that of continuous domains.

基于Smyth幂domain的构造,证明了连续半格范畴是拟连续domain范畴的反射子范畴。

A merge-split algorithm based on study property of neural net and sum aggregate is presented. Its merit is that its merge is disconnected a little and freedom satisfies the adaptability, and it is realized during learning rather than stipulating in advance. Furthermore, the method of fitting edge of uncontinuous image with neural net is given. The method can carry on the fit at self-learning, using its learning function fully under the circumstances without the mathematical function form of edge.

提出了一种基于神经网络学习特性和集合论的边缘分段算法(Merge-Split),优点在于它的分段间断点、自由度满足自适应性,能在学习过程中实现而不必事先规定;进一步提出神经网络拟合不连续的图像边缘的方法,在无边缘数学函数形式的情况下,充分利用其学习函数的任意逼近和自学习性进行拟合,实践证明该方法可以克服以往边缘拟合方法的不足。

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