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平面曲线

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We systemically discuss how to uniquely decide an infinite plane homography matrix by using the structure information in scene and how to evaluate a homography matrix which convert affine reconstruction to Euclidean reconstruction by solving absolute conic images.

系统地讨论了如何利用场景中的结构信息,来唯一地确定无穷远平面的单应矩阵,进而由射影重构恢复仿射重构,以及如何通过绝对二次曲线的像求解将仿射重构变换为欧氏重构的单应矩阵。

The article introduces the interrelation between superelevation transition section and transition curve,and proposed the specific calculating method.

结合《公路工程技术标准》、《公路路线设计规范》等平面线形设计中设置缓和曲线的目的,介绍了超高过渡段和缓和曲线之间的相互关系,并提出进行超高设计的具体计算方法。

This paper analyses the tangent equation of space curve and the derivation process of the curved tangent plane equation in the higher-mathematics teaching-materials, and shows another method to extract the tangent equation of space curve.

分析高等数学教材中空间曲线的切线方程和曲面的切平面方程的推导过程,给出求空间曲线的切线方程的另一种方法。

In fact, we can get the optimal tangents just by solving a system of linear equations with tridiagonal coefficient matrix. Then we can construct interpolating curves with continuous curvature locally just with end points, tangents and curvatures.

整条曲线可以通过构造插值端点、端切向以及端曲率的曲线得到;通过对型值点处的曲率进行低通滤波处理并对型值点进行相应调整,可以得到平面点列的一种自动光顺算法。

And then, using Matlab, we give some examples on regular surfaces. For example, plane, helicoidal, 3-dimensional Gauss profile, etc.

最后利用数学软件Matlab,给出了一系列的由光滑曲面上的参数曲线网经过离散化得到的离散参数曲线网,如平面,正螺面,三维Gauss型分布图,由3dMax生成的一般曲面等。

Through a correlation between the lake-level fluctuation curve of the second-order sequence in the Jixi Group with the curve of global eustasy, it is confirmed that the tectonic movement and paleoclimatic change of the Jixi and Boli basins had the same tectonic setting as the global eustasy.

通过鸡西群二级层序湖平面升降曲线与全球海平面升降曲线对比,证实了鸡西盆地、勃利盆地的构造运动、古气候演变与全球海平面升降变化有着相同的大地构造背景。

The longitudinal and lateral manganin gauges were used to determine the principal stresses in the shocked specimens,the lateral stress and longitudinal stress were measured in the 3~11 GPa range of shock stresses.

通过一维平面撞击实验,在Al2 O3抗弹陶瓷材料中进行了冲击波速度、飞片速度的测量和纵向应力、横向应力测量,得到了Al2 O3抗弹陶瓷的冲击波D up 关系,以及抗弹陶瓷在 3~ 1 1GPa压力范围内相应的横向应力和纵向应力关系曲线,并根据这一曲线得到了抗弹陶瓷的纵向应力与剪切强度的关系。

The fitting algorithm of product section and overall unit performance curves, the plane interpolation algorithm and mathematical method of physical property parameter of various single gas are mainly discussed, and also dealt with the technique of information integration on developing environment and data base application etc.

介绍了设计开发的风机性能信息系统,着重论述了产品段性能曲线和整机性能曲线的拟合算法、各种单一气体物性参数的平面插值算法等数学方法,还涉及到开发环境的信息集成和数据库的应用等技术。

The fitting algorithm of product section and overall unit performance curves, the plane interpolation algorithm and mathematical method of physical property parameter of various single gas are mainly discussed, and also dealt with the technique of information integration on developing environment and data base application etc.

风机性能信息系统的设计开发摘要:介绍了设计开发的风机性能信息系统,着重论述了产品段性能曲线和整机性能曲线的拟合算法、各种单一气体物性参数的平面插值算法等数学方法,还涉及到开发环境的信息集成和数据库的应用等技术。

In addition, many studies of patients with AVN showed plenty of special characteristics,such as age distribution and bone quality.Objective:To study the geometric features of proximal femur for the Chinese AVN population,in order to prove the existence of special characteristic of proximal femur for the disease and then develop an AVN-specialized stem evaluated by a validated finite element analysis.Methods:1.The author investigated the standard X-ray data of 127 cases(179 hips) with definite diagnosis of AVN to provide anatomical references for this disease.At the same time,we conducted a meta-analysis of anatomical studies of normal proximal femur data,including the section of LT+20,LT,LT-20 and CFI to identify the potential difference between AVN and normal population.

方法1、通过研究AVN患者标准X线正、侧位片127例(179髋),获得股骨近端的解剖学数据,利用荟萃分析的方法比较AVN患者股骨近段髓腔特征平面(LT+20,LT,LT-20)及CFI的改变与以往研究数据的差异,并利用创伤性FNF患者资料代替正常人股骨数据进一步比较髓腔前、后、内、外四条曲线段上的差异。2、通过结合现代CAD技术,将内、外、前、后曲线拟合到AVN柄的外形上,选用短柄假体设计,近段设计利用AVN患者骨髓腔CT相对应位置的断面进行修正,设计AVN人工股骨柄。3、计算机三维有限元分析:①使用CAD软件SolidWorks和有限元软件Ansys所建立的髋关节股骨侧假体置换后的三维有限元模型。

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