用B样条直接从稀疏图像重建可模拟的三维模型
Spline-Based Boundary Representations for Sparse View Reconstruction and Simulation Using Isogeometric Analysis

- 通过优化B样条边界表示,自动从稀疏图像生成光滑封闭几何
- 重建模型支持热仿真与模态分析,精度满足工程需求
- 适合数字孪生、仿真驱动设计等需要高保真几何的场景
基于图像的三维重建旨在从图像中恢复几何结构。尽管近期进展实现了视觉细节丰富的模型重建,但这些表示形式不适用于数值模拟。模拟框架通常需要显式、封闭且平滑的几何体以保证数值鲁棒性和精度,而图像重建所得表面往往缺乏这些特性。本文提出FORGE-SIM方法,无需人工干预,即可从稀疏姿态的RGB图像直接重建多片B样条边界表示。通过优化样条自身,该方法生成紧凑、光滑且封闭的几何体,天然兼容计算机辅助设计与模拟工作流。此外,我们提出一种策略,将观测得到的场(如温度状态、语义信息)投影到同一样条基上,实现模拟中的即刻应用。实验表明,所获模型质量足以支持热仿真与模态分析。本工作通过统一图像重建与模拟就绪建模于单一优化框架,消除了计算机视觉与数值分析之间的长期障碍,有望推动仿真驱动设计、检测及数字孪生等新应用流程。
原文摘要 · Abstract (English)
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.
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