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基于样条的边界表示法:采用等几何分析的稀疏视图重建与仿真

Spline-Based Boundary Representations for Sparse View Reconstruction and Simulation Using Isogeometric Analysis

Davor Dobrota, Vsevolod Skorokhodov, Chenghao Xu, Olga Fink, Malcolm Mielle

arXiv 2607.26234首次发表:更新:

发表机构

Schindler AG; École polytechnique fédérale de Lausanne(辛德勒公司; 洛桑联邦理工学院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

提出FORGE-SIM方法,从稀疏位姿RGB图像直接重建兼容仿真的多面片B样条边界表示,统一图像重建与仿真建模,消除计算机视觉与数值分析间的障碍。

AI 中文摘要

基于图像的重建旨在从图像中恢复三维几何结构。近期的进展已能实现视觉细节丰富的模型重建,但这类模型的表示形式并不适用于数值仿真。仿真框架通常需要明确、封闭且光滑的几何结构,以确保数值稳定性与精度,而基于图像重建得到的表面不具备这些特性。我们提出了FORGE-SIM,一种无需人工干预即可从稀疏位姿RGB图像直接重建多面片B样条边界表示的方法。通过优化样条表示本身,我们的方法生成紧凑、光滑且封闭的几何结构,天然兼容计算机辅助设计与仿真工作流。此外,我们引入一种策略,将观测衍生的场(如热状态和语义信息)投影到重建模型上,且使用相同的样条基,使其可直接用于仿真。我们证明所得模型质量足够高,可支持热仿真与模态分析。通过在单一优化框架内统一基于图像的重建与仿真就绪建模,本研究消除了计算机视觉与数值分析之间长期存在的障碍。我们预计,这将为仿真驱动的设计、检测及数字孪生应用开辟新的工作流。

英文摘要

Image-based reconstruction aims to recover three-dimensional geometry from images. Recent advances have enabled the recovery of visually detailed models, yet their representations are not well-suited for numerical simulation. Simulation frameworks typically require explicit, watertight, and smooth geometries to ensure numerical robustness and accuracy, properties that surfaces extracted from image-based reconstructions lack. We propose FORGE-SIM, a method to directly reconstruct a multi-patch B-spline boundary representation from sparse posed RGB images without manual intervention. By optimizing the spline representation itself, our approach produces compact, smooth, and watertight geometries that are natively compatible with both Computer Aided Design and simulation workflows. Additionally, we introduce a strategy to project observation-derived fields, such as a thermal state and semantic information, onto the reconstructed models in the same spline basis, enabling immediate use in simulation. We demonstrate that the obtained models are of sufficiently high quality to enable thermal simulation and modal analysis. By unifying image-based reconstruction and simulation-ready modeling within a single optimization framework, this work removes a long-standing barrier between computer vision and numerical analysis. We anticipate that it will enable new workflows for simulation-driven design, inspection, and digital twin applications.

Comments72 pages

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