几何仿真在数控车削加工过程中的应用

叙述了数控加工中NC代码的传统验证方法及几何仿真的目的和意义,着重讨论了数控车床几何仿真的系统结构以及NC代码验证程序的流程,最后分析了几何仿真中欠切与过切的布尔差算法。通过几何仿真,可以预见机械加工中的许多问题,从而降低设计与制造的成本,提高加工效率。     

三维面模型的几何压缩技术综述

随着应用需求的增长,三维模型的规模和复杂度急剧增长,给模型的存储和在有限带宽的网络上传输带来了很大的困难.因此,研究空间需求小、适合于计算机网络传输的三维模型的表示方法具有十分重要的意义.三维模型的压缩主要包括拓扑压缩和几何压缩.由于压缩数据中的大部分是几何压缩数据,因此已发展了许多几何压缩方法,以提高模型的压缩效率.为使相关的学者和工程技术人员较好地了解几何压缩技术,本文对这方面的工作进行了较全面的介绍.本文首先介绍了几何压缩的基本流程及几种几何压缩方法的分类原则,然后将几何压缩技术分为基础压缩方法和经过模型变换的压缩方法两大类并分别进行详细的介绍,讨论了各个方法的特点,最后结合我们自身的工作认识对几何压缩技术进行小结和展望.     

勒·柯布西耶绘画中空间观念的转向:纯粹主义前后

本文回溯了勒·柯布西耶在纯粹主义运动(1918—1925年)前后,其绘画中空间观念所经历的转向。彼时的让纳雷以绘画作为实验工具,发展了他对于空间的理解。本文把勒·柯布西耶在纯粹主义前后的绘画探索分为四个阶段,通过比较四个阶段的作品,指出勒·柯布西耶的空间观念经历了由注重写实与透视,到关注对象平面中的几何与秩序,再到用透明的块面相互叠加来营造深度感,最后转为对于大自然、人体等有机形式的探索,揭示出其不同绘画题材背后隐藏着的形式逻辑的必然联系。     

路易斯·康的几何学

该文通过对路易斯·康的设计手法的分析,认为其几何学构成中加法重于减法。路易斯·康在其空间单元概念形成之后,几乎所有的建筑设计手法均围绕着如何丰富这种空间单元的表现。路易斯·康对艺术与自然的区分,使得地形要素在其建筑构成中多半是辅助性的。     

关键几何尺寸对转子叶片疲劳可靠性的影响

基于改进的一次二阶矩法,利用线弹性随机有限元分析和局部应力应变法,考虑几何尺寸随机性进行转子叶片结构疲劳寿命可靠性的数值分析.根据榫头喉部关键尺寸的随机特性确定应力的统计特性,然后采用一种等概率方法,通过确定性数值计算得到叶片寿命的概率密度、均值和变异系数,讨论榫头喉部几何尺寸的随机性对危险点寿命可靠度的影响.     

QR码图像的矫正与定位方法研究

QR二维条码作为一种可高速、全方位识别的二维条码,已经在各行各业中得到了广泛的应用。本文针对QR条码图像的识别过程中可能遇到的图像倾斜、几何失真等问题进行了研究,提出了通过双线性变换矫正变形的条码图像,然后使用QR条码符号特性对图像进行旋转并定向。实验证明,本文的方法简单有效,可以用于提高QR条码的正确识别率。     

一种抗几何畸变的景象匹配方法

在分析景象匹配实时图获取过程中几何畸变产生原因的基础上,利用弹上高度传感器和姿态角传感器获取的图像高度和姿态信息,实现了畸变实时图的几何校正,给出了校正实时图大小和偏移量的确定方法,结合匹配计算和匹配结果修正,提出了一种抗几何畸变的景象匹配方法。仿真实验结果验证了该方法的有效性和实用性。     

Pictures worth a thousand tiles,a geometrical programming language for self-assembly

We present a novel way to design self-assembling systems using a notion of signal (or ray) akin to what is used in analyzing the behaviour of cellular automata. This allows purely geometrical constructions, with a smaller specification and easier analysis. We show how to design a system of signals for a given set of shapes, and how to transform these signals into a set of tiles which self-assemble into the desired shapes.     

Variable wall thickness scroll geometry modeling with use of a control volume approach

In a scroll-type compressor, compression is achieved through relative contact between two spiral curves. Since the scroll invention by Leon Creux (1905), multiple methods have been developed for calculating scroll geometry. What can generally be considered the most classical method, is defining each scroll curve as the involute of a circle. Gravesen and Henriksen (2001) introduced a new method to calculate scroll geometry by deriving each scroll curve from the radius of curvature parameterized with involute angle. This allows a wide range of involute geometries to be considered not included in the classical method. In this paper, Gravesen's method is extended to the tip region to include all tip geometries involved in a two arc configuration resulting in a more comprehensive scroll geometry definition. Lastly, with parametric representation of all scroll geometry, the pocket volume can be easily solved using a derived control volume approach.     

Electrostatic Halftoning

We introduce a new global approach for image dithering, stippling, screening and sampling. It is inspired by the physical principles of electrostatics. Repelling forces between equally charged particles create a homogeneous distribution in flat areas, while attracting forces from the image brightness values ensure a high approximation quality. Our model is transparent and uses only two intuitive parameters: One steers the granularity of our halftoning approach, and the other its regularity. We evaluate two versions of our algorithm: A discrete version for dithering that ties points to grid positions, as well as a continuous one which does not have this restriction, and can thus be used for stippling or sampling density functions. Our methods create very few visual artefacts, reveal favourable blue‐noise behaviour in the frequency domain, and have a lower approximation error under Gaussian convolution than state‐of‐the‐art methods.