查询词典 plane curve

In this paper, a region approximation idea that means using a "fat curve" with a width to approximate the offset curve is proposed, and a complete set of algorithms to approximate offset curve using disk Bézier curve are given and implemented. In the algorithms, the optimal and uniform approximate curve of the offset curve as the central curve of the Disk Bézier curve is found by using Remez method, and then the upper optimal and uniform approximation principle is proposed to compute the error radius function of the Disk Bézier curve. Thus, the whole Disk Bézier curve can be obtained. In the end of this paper, the approximate effect of the Disk Bézier curve is not only analyzed and assessed, but also some specific examples are provided.

提出用一条带宽度的"胖曲线"来逼近上述等距曲线的区域逼近思想，并建立与实现了圆域Bézier曲线等距逼近的整套算法，包括应用Remez方法求出等距曲线的最佳一致逼近曲线作为圆域Bézier曲线的中心曲线，提出上控最佳一致逼近的原理求出圆域Bézier曲线的误差半径函数，以及确定整条圆域Bézier曲线，最后还对该圆域Bézier逼近的效果做了分析和考核，并给出了一些具体实例。

This paper establishes cubic spline function, analyzes subsection curve function and curve slope and curvature, at last decides to place the curve especial points which can be obtain easement curve length and other line parameters, such as the ZH point (end of line and beginning of transition curve), the HY point (end of transition curve and beginning of circular curve), the QZ point, the YH point (end of circular curve and beginning of transition curve), the HZ point (end of transition curve and beginning of line).

针对公路平面线形的8种组合类型，其线形元素特征则由最基本的直线、圆曲线、缓和曲线组成的特点，解析三次样条函数模型，得分段曲线函数、曲线斜率、曲率，从而确定曲线特征点（直缓ZH点、缓圆HY点、曲中QZ点、圆缓YH点、缓直HZ点）位置，进而得到曲线缓和曲线长度及其他线形参数。

Result: Scoliosis was identified in 58 cases with Marfan syndrome (38 males and 20 females), the prevalence rate was 42.03%, male-female sex ratio was 1.18:1, 6 cases were in younger than 10-year-old group. 12 cases were in 11~20-year-old group, 19 cases were in 21~30-year-old group, 11 cases were in 31~40-year-old group, 7 cases were in 41~50-year-old group, 3 cases were in 51~60-year-old group. Mean magnitude of Cobb angle in coronal plane was 26.8°±27.8°, the types of scoliosis curve included thoracic curve (36 cases), thoracolumbar curve (11 cases), lumbar curve (2 cases), double curve (6 cases) and triple curve (3 cases), apex vertebraes were convex to the right side among single curves in 38 cases while 11 cases were convex to the left side. Mean magnitude of kyphosis in sagittal plane was 14.3°±13.2°, 5 patients had thoracic lordosis and 40 patients had hypokyphosis and 12 patients had normal kyphosis.

结果：58例(42.03%)患者合并脊柱侧凸，男38例，女20例，男女患病率比例为1.18：1，其中≤10岁6例，11~20岁12例，21~30岁19例，31~40岁11例，41~50岁7例，51~60岁3例；平均冠状面Cobb角为26.8°±27.8°；胸弯36例，胸腰弯11例，腰弯2例，双弯6例，三弯3例；单弯中顶椎凸向右侧38例，凸向左侧11例；矢状面胸椎后凸平均为14.3°±13.2°，其中胸椎前凸5例，胸椎后凸不足40例，胸椎正常后凸12例，仅1例胸椎后凸45°；11例患者冠状面Cobb角＞40°，平均年龄15.9岁。

In this paper, an iterative approach to potential field continuation from curved surface to plane is proposed. The continuation of potential field data from a curved surface to a plane can be viewed as an inverse problem of upward continuation of plane potential field data, getting a linear integral equation. Through viewing the potential field data on the curved surface as the data on the average elevation plane of the curved surface, then using the wavenumber domain generalized inverse algorithm to downward continue the data from the average elevation plane to a given plane, and a topography correction based on the change of curved surface relative to its average elevation is implemented to the downward continued data on the given plane, finally the downward continued data plane is upward continued to the curved surface.

本文提出一种位场数据曲化平的迭代方法，即通过把位场数据曲化平视为平面位场数据向上延拓的反问题，得到曲化平的线性积分方程，再把曲面上位场数据视为曲面平均高程面上的位场数据，利用向下延拓的波数域广义逆算法把平均高程面上的位场数据向下延拓到设定平面上，再根据曲面和其平均高程面的相对起伏对设定平面上的向下延拓数据进行起伏校正，最后再把所得平面上的位场数据向上延拓得到曲面上的位场数据，并进行迭代。

Finally it analyzes the feasibility that using hydromechanics to analyze traffic flow by contrasting various characters between traffic flow and fluid flow. It analyzes influence of road alignment to basic expressway segment capacity by hydromechanics, and obtains viscous resistance and viscous movement differential equation when the vehicle drives on circular curve segment of expressway. And it infers that viscous resistance is correlated with sideway force coefficient, slope of crown and radius of circular curve. Radius of circular curve, sideway force coefficient and slope of crown are bigger, viscous resistance is smaller, the influence to capacity is smaller when the vehicle is running on nearside lane of circular curve; but radius of circular curve and sideway force coefficient are bigger, slope of crown is smaller, viscous resistance is smaller, the influence to capacity is smaller when the vehicle is running on fast lane of circular curve.

最后通过对比交通流与流体流的相似性，运用流体力学分析了道路线形对快速路基本路段通行能力的影响，求出了车辆在曲线路段的粘性阻力，建立了车辆在曲线路段的粘性运动微分方程，并由此推知，粘性阻力与横向力系数、路拱横坡度和圆曲线半径都有关系，当车辆在圆曲线外侧车道上行驶时，圆曲线半径、横向力系数和路拱横坡度越大，粘性阻力就越小，对道路的通行能力影响就越小；而当车辆在圆曲线内侧车道上行驶时，圆曲线半径和横向力系数越大，路拱横坡度越小，粘性阻力就越小，对道路的通行能力影响就越小。

From a neutral gray balance curve, the curve Y, m, and the basic coincideut from neutral gray balance curve, the curve Y, m, and C coincideut basic curve the Y, m into a bow-shaped curve.

而从洋性灰不均弧线来看，Y、M弧线根基重分，而从洋性灰不均弧线来看，Y、M弧线根基重分，而C弧线则矮不入Y、M成为一条弓形弧线。

Analyze the failure models of rock slope, and then classify the sliding plane, the sliding plane can be divided into self-born sliding plane, appendiculate sliding plane and mixed sliding plane, furtherly summarize the selection method of mechanics parameters to each types. Based on the classification, the author establishes the mechanics model of each sliding plane.

论文主要研究内容和结论如下：(1)阐明了边坡滑动面力学参数取值的研究对象、重点及其研究意义，简要回顾了滑动面分类、结构面强度取值、滑动面试验强度取值和力学参数反算的研究现状，针对目前研究中存在的一些问题，提出了本文的主要研究内容。

Analyze the failure models of rock slope, and then classify the sliding plane, the sliding plane can be divided into self-born sliding plane, appendiculate sliding plane and mixed sliding plane, furtherly summarize the selection method of mechanics parameters to each types. Based on the classification, the author establishes the mechanics model of each sliding plane. Discuss the influence of water and weathering and sedimentation conditions on rock slope, and then specify the geological cause of rock bedding slope, counter-tilt rock slope and cracked rock slope.

2分析了岩质边坡的几种主要破坏模式，在此基础上对岩质边坡滑动带进行分类研究，从大的方面主要分为自生型滑动面、依附型滑动面和混合型滑动面三类，总结与各类滑动面相适应的力学参数取值方法，从而建立岩质边坡滑动面的力学分析模型，讨论水、风化和沉积环境对岩质边坡的影响，归纳了顺层岩质边坡、反倾岩质边坡和破碎岩质边坡滑动面的成因。

At the clock point to 1:20 minutes for,"E11" step on plane door's counter first , it give service to the figure appear Le,I at the moment take out our step on plane board stand up on front, thank let she check up and affirm for, she received out step on plane board after, at the moment at the it above writing same words after and pass on go back for I, I'm one look meane feeling big thing don't be good: she already take our step on plane broad on the "E11" step on plane door use red pencil for draw out,at it's side write on "C8A"three words.at once, I'm all body the spirit be encourage call into actior up: I'm at once for first response's consciousness to,we're wall unable to catch up with this one's regular plane Le.

当时钟指向1：20分时，&E11&登机口柜台前，其服务员的身影出现了，我立即拿出我们的登机牌起身上前，想让其检查并确认一下。她接过我们的登机牌后，立即在其上面写了几个字后又递还了给我，我一看就觉得大事不好：她已把我们登机牌上的&E11&登机口用红笔划掉，在其旁边写上&C8A&三个字。顿时，我全身的神经被激淩发动了起来：我当时的第一个反应是意识到，我们将赶不上这趟班机了。

A movable plane is built that is perpendicular to the projection of sightline in xz plane; a radial from camera position to mouse point is built and the mouse wheel is used to control the forward and backward movement of the movable plane along the sightline direction; the intersection point of the mouse radial and the movable plane can be moved to any position in 3D space by moving the moveable plane; the coordinate of the intersection point of the radial and the moving plane is calculated, taken as the new coordinate of the object to be moved which is added into the romance pipeline, and the object movement can be implemented.

论文摘要：为优化虚拟三维管理领域的物体移动操作，实现利用鼠标完成物体在三维空间中任意点的移动过程，引入可移动平面的概念，在三维空间建立垂直于视线在xz平面投影的可移动平面；建立1条从摄像机位置到鼠标位置的射线，由鼠标滚轮控制可移动平面在视线方向上的前后移动；通过移动可移动平面，使鼠标射线与可移动平面的交点可以到达三维空间中的任意位置；计算射线与可移动平面的交点坐标，将其作为待移动物体新坐标放入渲染流水线，从而完成物体移动。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。