Extraction of surface quad layouts from quad layout immersions: application to an isogeometric model of car crash

IF 8.7 2区 工程技术 Q1 Mathematics Engineering with Computers Pub Date : 2024-08-14 DOI:10.1007/s00366-024-02007-w
Kendrick M. Shepherd, René R. Hiemstra, Xianfeng David Gu, Thomas J. R. Hughes
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Abstract

Extraction of quadrilateral layouts of surfaces is essential for surface rebuilding using splines, semi-structured bilinear quadrilateral mesh extraction, and texture mapping. Layout generation using integer grid based techniques on triangulated meshes have received particular attention for generation of well-structured layouts. In this work, we reiterate a generalization of integer grid parameterizations in which only topological constraints between singularities are necessary to ensure a valid quadrilateral parameterization (and specifically, the integral curves emanating from singularities are of finite length). This generalized representation is motivated by carefully discussing pros and cons of both integer grid and topologically constrained parameterization methods. A computational framework for extracting a quadrilateral layout from a valid input immersion is then presented, which will work for any parameterization that induces a valid quadrilateral layout. Results demonstrate the validity and the potential of the proposed computational framework on a variety of geometries. The proposed extraction framework is ultimately used to reconstruct the body-in-white of a 1996 Dodge Neon as a set of analysis-suitable bicubic B-splines, which are then used in the first known body-in-white crash analysis using boundary-conforming splines, demonstrating that the reconstruction method is viable for industrial use.

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从四维布局沉浸中提取表面四维布局:应用于汽车碰撞等距模型
提取曲面的四边形布局对于使用劈线重建曲面、半结构化双线性四边形网格提取和纹理映射至关重要。在三角网格上使用基于整数网格的技术生成布局,在生成结构良好的布局方面受到了特别关注。在这项工作中,我们重申了整数网格参数化的一般化,其中只需要奇点之间的拓扑约束即可确保有效的四边形参数化(具体来说,从奇点发出的积分曲线长度有限)。通过仔细讨论整数网格和拓扑约束参数化方法的利弊,我们得出了这种通用表示方法。然后提出了一个从有效输入浸入中提取四边形布局的计算框架,该框架适用于任何能诱导出有效四边形布局的参数化方法。结果表明了所提出的计算框架在各种几何图形上的有效性和潜力。提出的提取框架最终被用于将 1996 年道奇霓虹的白车身重建为一组适合分析的双三次 B 样条,然后将其用于首次使用边界拟合样条进行的已知白车身碰撞分析,证明该重建方法可用于工业领域。
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来源期刊
Engineering with Computers
Engineering with Computers 工程技术-工程:机械
CiteScore
16.50
自引率
2.30%
发文量
203
审稿时长
9 months
期刊介绍: Engineering with Computers is an international journal dedicated to simulation-based engineering. It features original papers and comprehensive reviews on technologies supporting simulation-based engineering, along with demonstrations of operational simulation-based engineering systems. The journal covers various technical areas such as adaptive simulation techniques, engineering databases, CAD geometry integration, mesh generation, parallel simulation methods, simulation frameworks, user interface technologies, and visualization techniques. It also encompasses a wide range of application areas where engineering technologies are applied, spanning from automotive industry applications to medical device design.
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