光谱建筑几何

IF 3 3区计算机科学 Q2 COMPUTER SCIENCE, SOFTWARE ENGINEERING

Computer-Aided Design Pub Date : 2025-07-23 DOI:10.1016/j.cad.2025.103927

Romain Mesnil , Kazuki Hayashi

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引用次数: 0

摘要

谱几何是一个将几何性质与曲面上微分算子的特征值联系起来的数学领域。尽管它是一种成熟的几何处理工具，并已在许多情况下使用，但结构工程和建筑几何社区尚未采用该框架进行形状建模。本文旨在探讨光谱方法在建筑几何中的应用。提出了一种基于用户定义的感兴趣区域生成各向异性拉普拉斯算子的新方法。通过用网格和图形表示的设计问题，说明了谱方法在结构设计中的潜力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Spectral architectural geometry

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Spectral architectural geometry

Spectral geometry is a mathematical field that links geometrical properties to eigenvalues of differential operators on surfaces. Although it is a well-established tool in geometry processing and has been used in many contexts, the structural engineering and architectural geometry communities have not yet adopted this framework for shape modeling. This paper aims to explore spectral methods for applications in architectural geometries. A novel methodology for generating anisotropic Laplacian operators based on regions of interest defined by the user is proposed. The potential of spectral methods in structural design is illustrated through design problems expressed on meshes and graphs.

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来源期刊

Computer-Aided Design 工程技术-计算机：软件工程

CiteScore

5.50

自引率

4.70%

发文量

117

审稿时长

4.2 months

期刊介绍： Computer-Aided Design is a leading international journal that provides academia and industry with key papers on research and developments in the application of computers to design. Computer-Aided Design invites papers reporting new research, as well as novel or particularly significant applications, within a wide range of topics, spanning all stages of design process from concept creation to manufacture and beyond.