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This method includes the method of profile data modeling in theory, bound searching method of expansion polar angle corresponding theoretical points and evaluation method of least-deviation profile error.

包括实现轮廓度测量的理论轮廓数据建模方法、对应理论点的扩展极角定界搜索方法以及满足最小条件的最小极偏差轮廓度误差评定方法。

Based on the fact in 3D restoration that most sequential section contours of an object are similar to adjacent ones, a quick method on triangulation between two section contours is proposed in this paper.

基于三维重建时物体截面轮廓线序列中的相邻轮廓线基本相似的事实,提出了一种物体截面轮廓线点集之间的三角划分的快速算法。

To fulfill the need of the application of RP technique in medical domain, reverse CAD modeling from medical cross sections is systematically studied in this dissertation. Firstly, Some algorithms related to the research of this dissertation are studied. New algorithms for orientation and inclusion test for simple polygon, an error constrained automatic faring algorithm for B-spline curve and a theorem regarding the termination criterion for subdivision of triangular Bézier patch are proposed. Then based on similarity between contours of adjacent sections, a methodology for surface reconstruction from cross sections is presented. Finally, a virtual measuring method is proposed.

本文针对RP技术在医学领域应用的需要,系统研究了基于医学断层轮廓数据的反求CAD建模理论和方法:(1)在基础算法研究部分,提出了简单多边形方向及点在多边形内外判断的新方法、三角Bézier曲面片离散的误差控制定理和一种带误差约束的B样条曲线的自动光顺方法;(2)提出了一种基于相邻层轮廓相似性的医学断层轮廓数据曲面重构方法;(3)提出了一种称为"虚拟测量"的曲面模型处理方法。

The CNE-AR model coefficients are invariant to translation, rotation, scale and choice of the starting point in tracing a boundary, in which both linear and nonlinear features of the shape boundary are taken into account, and the intrinsic characteristics of the shape boundary are further depicted.

CNE-AR模型系数具有平移、旋转、比例和轮廓跟踪起始点选择不变性,兼顾了图形轮廓中的线性与非线性特征,深刻反映了图形轮廓的本质特性。

In this paper, we propose the translation-invariant contourlet-like transform with lower redundancy than both the nonsubsampled contourlet transform and the translation invariant contourlet transform.

本文提出了一种具有平移不变性的类轮廓波变换,其冗余度比非抽样轮廓波变换和平移不变轮廓波变换更低。

In order to reduce the cost of matching, we used multiple scale technique. 4. We presented a novel method of searching for similar fragments of 3D curves. with this method, a hash vector is associated with each fixed-length fragments of 3D sherd. Each vector consists of low frequence component of Fourier-Like spectrum for the distance between profile curve and the centroid.

依据样条曲线的基本理论,研究了基于B样条的轮廓曲线的匹配方法,给出了由轮廓曲线不变量曲率和挠率构造的相似不变量的选取以及基于相似矩阵的匹配算法,并对该算法的时间复杂度作了估计,同时,将多尺度技术引入到物体轮廓的匹配问题中。

On the analysis of existed contour representation methods and application requirement,the paper designs and implements a specific vector contours representation method.

一种好的轮廓信息的描述将有利于从包含舰船和码头在内的轮廓信息中直接区分码头和停靠舰船所形成的部分轮廓

By the data in the images from the two frequency grating projector , the absolute phase at each pixel is then unwrapped by comparing the two wrapped phases and it is suit for the great craggedness of the measurement object.

在光学投影栅线法测量物体三维轮廓理论的基础上,本文提出了双频投影栅线法物体轮廓测量技术,通过两种不同频率的光栅投影图,能够直接得到包含物体高度信息的绝对相位值,能够实现具有陡峭边沿物体的测量,实验结果表明,利用该方法能够显著提高物体轮廓测量精度。

This thesis investigates the profile extraction and shape optimization on the result of topology optimization of planar compliant mechanisms. The main context includes the following work:(1) summarizing and analyzing the recent research status, some harvest and unsolved problems;(2) analyzing the conceptual design of planar path-generating compliant mechanisms and its mathematical model and tools;(3) Modifying the method of density contour as the method of profile extraction, and developing a method to optimize the density function in the profile extraction according to the requirement of the design of compliant mechanism;(4) developing a method to abstract the compliant mechanism into a form of links and joints by using the principle of connectivity on topology;(5) developing a method of shape optimization of planar path-generating compliant mechanisms, by representing the profile of the abstracted compliant mechanism as simple curves such as straight lines and arcs, establishing the models of the size optimization of the parameters of these curves, so that the compliant mechanism has a machinable shape;(6) At last, proving the feasibleness and effectiveness of the design method by making simulation design and validating it in FEA software.

主要工作包括:(1)分析了柔顺机构拓扑优化和形状优化的研究现状,分析了目前柔顺机构的研究重点、主要成果和尚未解决的问题;(2)分析了基于SIMP的柔顺机构概念设计方法及其相关工具和模型;(3)针对柔顺机构轮廓提取的特殊要求,提出了密度等值线法的改进方案,对密度函数插值点密度值进行优化,提出优化模型和选择优化算法;(4)根据轨迹输出平面全柔顺机构自身的形状特点,提出了轨迹输出平面全柔顺机构的抽象方法,即应用拓扑学上的连通性原理将柔顺机构抽象成杆件和结点形式,并对相应的数学原理进行了证明;(5)提出了平面全柔顺机构的形状还原和尺寸优化方法,对抽象的柔顺机构进行还原,将其轮廓还原成简单曲线的连接,从而建立尺寸优化模型,对机构进行尺寸优化设计,在得到可加工的机构轮廓的同时又能对关键部位进行特别处理;(6)进行了柔顺机构的数值仿真设计,并将所得设计结果导入商用有限元软件中进行仿真实验,证明了设计方法的可行性和有效性。

The silhouette of object on the turnable stage has been observed from multiple views through rotating. A bright background has been used to improve the contrast of images. An acquiring and processing system has been built. The 3D reconstruction algorithm has been studied based on Shape from Silhouette, and a 3D octree volume element structure model has been achieved through refining. The data will be used in 3D model repairing of laser scanning method.

本文采用单个固定CCD摄像机与转台相配合的方式,实现对物体轮廓图像的多角度采集,并使用背景照明来增加轮廓的清晰度,建立了一套自动的多视角轮廓3D测量系统,通过逐级细化的方式获得物体八叉树体元结构的三维模型,用于激光扫描法的数据修补。

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