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Path Planning for Product Function Transformation based on Kruskal Algorithm 基于Kruskal算法的产品函数变换路径规划
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.128-133
Jinpu Zhang, G. Cao, Q. Peng, R. Tan, Huan-ke Zheng
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引用次数: 0
Haptic Feedback Glove for Arm Rehabilitation 手臂康复触觉反馈手套
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.303-307
Natalia Y. Rodríguez, Matteo Sangalli, Monika Smukowska, M. Covarrubias
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引用次数: 0
A Predictor-Corrector Type Incremental Algorithm for Weighted Straight Skeletons 加权直骨架的预测校正型增量算法
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.56-60
B. Irhan
Introduction: In classical straight skeleton problem, each edge of the polygon moves inwards with a constant unit velocity in such a way that it remains essentially parallel to itself throughout the course of the shrinking process. The regions swept by the polygon edges construct the faces of the straight skeleton structure of the underlying polygon. During the shrinking process, polygon topology might change due to edge collapse and edge split events. The edge collapse event takes place at an instance when at least one edge of the polygon collapses down to a point, whereas the edge split event comes into play as at least one of the vertices hits an edge or another vertex of the polygon. The existing algorithms for the construction of straight skeletons are based on wave propagation and they make use of the additional tools like kinetic triangulation [1] or motorcycle graph [2]. The weighted version of the straight skeleton algorithm was pioneered in [3].
简介:在经典的直线骨架问题中,多边形的每条边都以恒定的单位速度向内移动,在整个收缩过程中,它基本上保持与自身平行。多边形边缘扫过的区域构成下一多边形的直骨架结构的面。在收缩过程中,多边形拓扑结构可能会由于边缘塌陷和边缘分裂事件而发生变化。当多边形至少有一条边坍缩为一个点时,就会发生边缘坍缩事件,而当至少有一个顶点碰到多边形的一条边或另一个顶点时,就会发生边缘分裂事件。现有的构造直骨架的算法是基于波传播的,它们利用了额外的工具,如动能三角测量[1]或摩托车图[2]。直骨架算法的加权版本是在b[3]中首创的。
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引用次数: 0
A Virtual Element Method for the Static Bending Analysis of Reissner-Mindlin Plates Reissner-Mindlin板静弯曲分析的虚元法
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.21-25
Xiaoxiao Du, Gang Zhao, Wei Wang
Introduction: The virtual element method (VEM), introduced in [3] is designed for solving numerical problems de ned on arbitrarily shaped polygonal/polyhedral discretizations. Therefore, it will greatly alleviate the heavy burden placed on meshing complex CAD geometries when compared with the traditional nite element method. Furthermore, VEM could handle the non-conforming discretizations by allowing the existence of hanging nodes, which are treated as normal nodes in the element. The local h-re nement and p-version re nement could be easily implemented under the VEM framework. So far VEM has been successfully applied to solve various problems including topology optimization, contact, fracture, plate bending and vibration, inelasticity. In this work, we develop an arbitrary order virtual element method for the static bending analysis of Reissner-Mindlin plates. The transverse displacement and rotations are independently interpolated with the functions de ned in VEM spaces. The interpolation functions for transverse displacement are one degree higher than the functions for rotations. A benchmark problem is studied to verify the developed method. The optimal convergence rates for transverse displacement and rotations could be obtained from the numerical example.
[3]中介绍的虚元法(virtual element method, VEM)是为求解任意形状多边形/多面体离散化的数值问题而设计的。因此,与传统的有限元方法相比,它将大大减轻复杂CAD几何图形的网格划分负担。此外,VEM通过允许悬挂节点的存在来处理非一致性离散化,将悬挂节点视为单元中的正常节点。在VEM框架下,本地h-re元素和p-version元素可以很容易地实现。到目前为止,VEM已经成功地应用于解决各种问题,包括拓扑优化、接触、断裂、板的弯曲和振动、非弹性。在这项工作中,我们开发了一种用于Reissner-Mindlin板静态弯曲分析的任意阶虚元方法。横向位移和旋转分别与VEM空间中定义的函数独立插值。横向位移的插值函数比旋转的插值函数高1度。通过一个基准问题对所提出的方法进行了验证。通过算例可以得到横向位移和旋转的最优收敛速率。
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引用次数: 0
GPU-Accelerated Post-Processing and Animated Volume Rendering of Isogeometric Analysis Results 等几何分析结果的gpu加速后处理和动画体绘制
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.177-181
Harshil S. Shah, Xin Huang, O. Bingol, M. Rajanna, A. Krishnamurthy
Introduction: Isogeometric analysis (IGA) [1] has enabled better CAD integration by using the same spline representations (Non-Uniform Rational B-Splines, NURBS) for modeling and analysis. Traditionally, the nite element analysis results are visualized by creating a texture map of the property of interest and superimposing them over the boundary representation (B-rep) model or the mesh. This technique cannot be directly used to render internal quantities of interest without computationally intensive sectioning and remapping of the textures, which does not allow for interactive interrogation of the analysis results. Ray-casting is usually used to render volume data and is computationally more intensive than rasterization. Performing ray casting with volumetric splines used in IGA is still computationally intensive to perform interactively. In this work, we rst voxelize the isogeometric mesh using a GPU-accelerated ray intersection algorithm for cubic-Bézier volumes to convert volumetric splines to time-varying voxelized data structures. We then use GPU ray casting to volume-render the time frames of the simulation. This approach leads to interactive volume rendering of the results of dynamic IGA simulations, allowing for real-time manipulation in the 3D environment. One of the early algorithms to compute ray intersection with surfaces can be found in [2], where they reduce the ray-surface intersection to computing roots of a polynomial. [4] presented the Newton iteration technique that uses subdivisions of a surface to compute all the roots for the ray-surface combinations. [3] developed a method to decompose the NURBS surfaces into Bézier patches and then perform the triangulation of the surface for rendering. However, most of these previous approaches were not fast enough for animated volume rendering or mainly rendered the analysis results on surfaces as textures. To voxelize the IGA models, we rst decompose the NURBS elements into Bézier elements by performing Bézier extraction. This is required to deal with the non-uniformity of the knot vector in a general NURBS element. We then perform a modi ed ray intersection test with the six Bézier surfaces of the element using a grid of rays. We then generate a variable density voxel model representing the analysis results using the intersection data, which is repeated for the di erent time frames of the analysis. The
介绍:等几何分析(IGA)[1]通过使用相同的样条表示(非均匀有理b样条,NURBS)进行建模和分析,实现了更好的CAD集成。传统上,通过创建感兴趣属性的纹理映射并将其叠加在边界表示(B-rep)模型或网格上,可以将有限元分析结果可视化。如果没有计算密集的纹理切片和重新映射,该技术不能直接用于渲染感兴趣的内部数量,这不允许对分析结果进行交互式询问。光线投射通常用于渲染体数据,并且在计算上比光栅化更密集。使用IGA中使用的体积样条进行光线投射仍然需要大量的计算才能进行交互。在这项工作中,我们首先使用gpu加速的射线相交算法对等高几何网格进行体素化,以将体积样条曲线转换为时变体素化数据结构。然后我们使用GPU光线投射来体渲染模拟的时间框架。这种方法导致动态IGA模拟结果的交互式体渲染,允许在3D环境中进行实时操作。早期计算射线与曲面相交的算法之一可以在[2]中找到,其中他们将射线与曲面相交简化为计算多项式的根。[4]提出了牛顿迭代技术,该技术使用曲面的细分来计算射线-曲面组合的所有根。[3]开发了一种方法,将NURBS曲面分解为bsamzier patch,然后对曲面进行三角剖分进行渲染。然而,这些先前的方法对于动画体渲染来说速度不够快,或者主要是将分析结果作为纹理在表面上渲染。为了使IGA模型体素化,我们首先通过执行bsamzier提取将NURBS元素分解为bsamzier元素。这需要处理一般NURBS元素中结向量的非均匀性。然后,我们使用射线网格对元素的六个bsamizier表面执行修改的射线相交测试。然后,我们使用交叉数据生成一个可变密度体素模型来表示分析结果,该模型在分析的不同时间框架中重复。的
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引用次数: 1
A Unified Approach for Airfoil Parameterization Using Bezier Curves 用Bezier曲线进行翼型参数化的统一方法
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.241-245
Dheeraj Agarwal, P. Sahu
Introduction: Parametrization is at the core of optimization, as it defines the design space that the optimizing algorithm explores. The success of any shape optimization methodology depends extensively on the type of parameterization technique employed [10]. One straightforward route which results in the most flexible parametrization strategy is to use the nodes of the computational mesh as the design variables. One major drawback for this parameterization strategy is that, as all surface mesh nodes can move independently, the implementation of a smoothing algorithm is required to prevent the appearance of non-smooth shapes during the optimization process. In this regard, the Free-form deformation (FFD) techniques have been successfully implemented for aerodynamic shape optimization problems [Ref]. The benefit of this approach is that it imparts smooth deformations to the analysis mesh and enables the parameterization to alter the thickness, sweep, twist, etc. for the design of an aerospace system. However, in either of these parameterization strategies it is only the mesh which reaches the optimum, and must be translated into a CAD model before it can be used for further analysis or manufacturing assessments. Thus, to align with the industrial ambition of having a more integrated design workflow, the compatibility of design parameterization with Computer-Aided Design (CAD) software has become very important. In the recent past, some authors have attempted to develop optimization processes based on parameterization developed with CAD systems. These include, parameterization based on nonuniform rational B-splines (NURBS) [8], B-Splines in the Open-Cascade Technology [6], parameters defining CAD features [3] and Bezier curves [4] within CATIA V5. But there has been no standard approach which can be followed to parameterize different airfoil geometries and can also be used within CAD systems. In this research, a unified approach is presented to obtain the Bezier parameterizations for different airfoil geometries obtained from the UIUC Airfoil Data Site [2].
参数化是优化的核心,因为它定义了优化算法所探索的设计空间。任何形状优化方法的成功在很大程度上取决于所采用的参数化技术的类型[10]。使用计算网格的节点作为设计变量是最灵活的参数化策略的一种直接途径。这种参数化策略的一个主要缺点是,由于所有表面网格节点都可以独立移动,因此需要实现平滑算法以防止在优化过程中出现非光滑形状。在这方面,自由形式变形(FFD)技术已经成功地应用于气动形状优化问题[参考文献]。这种方法的好处是它赋予分析网格平滑变形,并使参数化能够改变航空航天系统设计的厚度、扫描、扭曲等。然而,在这两种参数化策略中,只有网格达到最佳,并且必须在用于进一步分析或制造评估之前转换为CAD模型。因此,为了与拥有更集成的设计工作流的工业目标保持一致,设计参数化与计算机辅助设计(CAD)软件的兼容性变得非常重要。在最近的过去,一些作者试图开发基于参数化与CAD系统开发的优化过程。这些包括,基于非均匀有理b样条(NURBS)的参数化[8],开级联技术中的b样条[6],CATIA V5中的参数定义CAD特征[3]和Bezier曲线[4]。但一直没有标准的方法,可以遵循参数化不同的翼型几何形状,也可以在CAD系统内使用。在这项研究中,提出了一种统一的方法来获得来自UIUC翼型数据站点[2]的不同翼型几何形状的Bezier参数化。
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引用次数: 0
Comparative Study of 3D Reconstruction Methods for Medical Imaging 医学影像三维重建方法的比较研究
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.198-202
L. Lechelek, S. Gerbaud, R. Zrour, Mathieu Naudin, C. Guillevin, S. Horna
The work presented in this paper is about comparison and analysis of four different reconstruction methods applicable to MR images. Two of them are based on the marching cube algorithm and the other two are contour based algorithms. We describe the studied reconstruction methods and compare their results. The comparative study examined, allows to establish similarity, equivalence, or distinctness between the four methods. We show that the various reconstruction methods produce different 3D models and each one has its own advantages and limitations.
本文的工作是对适用于磁共振图像的四种不同重建方法进行比较和分析。其中两种是基于行进立方体算法,另外两种是基于轮廓算法。我们描述了所研究的重建方法,并比较了它们的结果。通过比较研究,可以确定四种方法之间的相似性、等价性或差异性。我们表明,各种重建方法产生不同的三维模型,每种方法都有自己的优点和局限性。
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引用次数: 0
The Issue of Virtual Reality in Industrial Design: a Discussion on Its Adoption and New Possible Approaches 工业设计中的虚拟现实问题:探讨其采用和新的可能途径
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.256-260
Marcello Lorusso, M. Rossoni, M. Bordegoni, G. Colombo, M. Carulli
Introduction The matter of Virtual Reality as a breakthrough technology in the design and engineering domains has recently become an interesting topic within the research community. In fact, in the current state, hardware and software tools have become widely available on the market, they are generally easily a ordable and have reached a decent level of optimization to be integrated into the design development work ow. Despite this, when considering industrial design and the complex shape generation methods needed for everyday products as well as in the automotive/transportation elds, the industry seems quite reluctant to embrace these new possibilities, sticking with traditional approaches that are deemed as more reliable. The reasons behind this mismatch are several. There are still some technological limitations that set more analog methods apart. For instance, we are still far from achieving a realistic feel of touch in Virtual Reality environments, though many e orts are also going in this direction [4]. The relevance of this aspect cannot be overlooked, given its importance in relation to some very common techniques such as physical clay modeling. As a result, many di erent approaches that have taken advantage of Virtual Reality have been investigated at research level in the last decade, and while few have actually turned into commercial successes, each contributed to pave the way in the current direction. However, the novelty of such a breakthrough technology also meant that interaction systems and user experiences in general had to be rethought from the ground up compared to traditional desktop solutions, which in turn have reached a very established level of con gurability in these regards. This aspect is enticing and yet critical at the same time: it is now possible to reimagine the user experience in ways that weren't even conceivable until a few years ago. On the other hand, Virtual Reality developers that are willing to invest their e orts in this domain have to face against the lack of well de ned guidelines, protocols and assessment methods to properly understand the actual potential of such solutions.
虚拟现实作为设计和工程领域的一项突破性技术,近年来已成为研究领域的热门话题。事实上,在目前的状态下,硬件和软件工具已经在市场上广泛使用,它们通常很容易使用,并且已经达到了适当的优化水平,可以集成到设计开发工作中。尽管如此,当考虑到工业设计和日常产品以及汽车/运输领域所需的复杂形状生成方法时,该行业似乎不太愿意接受这些新的可能性,而是坚持使用被认为更可靠的传统方法。这种不匹配背后的原因有几个。仍然存在一些技术限制,使更多的模拟方法脱颖而出。例如,我们离在虚拟现实环境中实现逼真的触感还很遥远,尽管许多人也在朝着这个方向努力[4]。这方面的相关性不容忽视,因为它与一些非常常见的技术(如物理粘土建模)有关。因此,在过去的十年中,许多利用虚拟现实的不同方法已经在研究层面进行了调查,虽然很少有实际转化为商业成功,但每种方法都为当前的方向铺平了道路。然而,这种突破性技术的新颖性也意味着,与传统的桌面解决方案相比,交互系统和用户体验总体上必须从头开始重新考虑,而传统的桌面解决方案在这些方面已经达到了非常稳定的水平。这个方面很诱人,但同时也很关键:现在可以用几年前还无法想象的方式来重新想象用户体验。另一方面,愿意在这一领域投入精力的虚拟现实开发人员不得不面对缺乏精心设计的指导方针、协议和评估方法来正确理解此类解决方案的实际潜力的问题。
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引用次数: 0
MidcurveNN: Neural Network for Computing Midcurve of a Thin Polygon MidcurveNN:计算薄多边形中曲线的神经网络
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.223-225
Yogesh H. Kulkarni
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引用次数: 0
Improving the Learning Experience within MCAD Education: A Tool for Students to Assist in Self-Assessment during Modeling Exercises 改善MCAD教育中的学习体验:学生在建模练习中协助自我评估的工具
Pub Date : 2021-05-12 DOI: 10.14733/CADCONFP.2021.149-153
F. Mandorli, Herald Otto
Introduction: Current developments and recent work in educational research have been aimed at creating awareness of and addressing the most prominent shortcomings and failures of current CAD education, in particular at institutions of higher education. Such efforts have provided new insights and recommendations, although the work is still limited and the results sometimes contradictory. Obviously, there is demand for a change of focus in traditional CAD education from the declarative knowledge relating to geometric algorithms and commands required for operating a CAD system, in the literature referred to as command knowledge, toward knowledge and expertise which can transcend a particular CAD system. This demand highlights the need for higher level thinking relating to what is commonly known as strategic knowledge, i.e. knowledge of the different methods of achieving a specific task (goal) and knowing how to choose among those methods. This requires, among other factors, a high-quality learning experience during frequent educational exercises in the CAD laboratory, providing opportunities for students to experience both design and creation of their own CAD models and the re-design and alteration of them. This also includes promoting good design practice by relating CAD model attributes and parameters to part functionality and design intent, which, in turn, depends on the restructuring of curricula. Current efforts are aimed at designing alternative teaching approaches and integrating suitable elements of those into CAD education so that it is transformed into a more student-centered, learning-oriented and practice-oriented system. It needs to be better structured so that it efficiently and effectively matches actual student learning outcomes with skills and competencies related to, among other attributes, spatial ability and mental visualization, cognitive model composition, meta-cognitive processes including planning, predicting, revision, and, most importantly, self-assessment and self-regulation (cf. [9,11,12]).
导读:目前教育研究的发展和最近的工作旨在提高人们对当前CAD教育的认识,并解决当前CAD教育中最突出的缺点和失败,特别是在高等教育机构。这些努力提供了新的见解和建议,尽管工作仍然有限,结果有时相互矛盾。显然,传统CAD教育的重点需要从与操作CAD系统所需的几何算法和命令相关的说明性知识(在文献中称为命令知识)转变为可以超越特定CAD系统的知识和专业知识。这种需求强调了对更高层次思维的需求,这种思维通常被称为战略知识,即了解实现特定任务(目标)的不同方法,并知道如何在这些方法中进行选择。除其他因素外,这需要在CAD实验室频繁的教学练习中获得高质量的学习体验,为学生提供体验设计和创建自己的CAD模型以及重新设计和更改模型的机会。这也包括通过将CAD模型属性和参数与零件功能和设计意图相关联来促进良好的设计实践,这反过来又取决于课程的重组。目前的努力旨在设计替代教学方法,并将这些方法中的适当元素纳入CAD教育,使其转变为一个更以学生为中心、以学习为导向和以实践为导向的系统。它需要更好的结构,以便有效地将学生的实际学习成果与空间能力和心理可视化、认知模型组成、元认知过程(包括计划、预测、修订,以及最重要的自我评估和自我调节)等属性相关的技能和能力相匹配(参见[9,11,12])。
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引用次数: 2
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CAD'21 Proceedings
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