用AI逆向推演倒塌石块原结构,加速古建修复
GPU-Accelerated Inverse Structural Anastylosis from Block Collapse Dynamics

- 将重建任务视为逆向物理预测,结合刚体动力学与深度学习
- 在450次模拟中验证,可准确预测92%以上石块移除顺序与重心失衡风险
- 适合考古修复、文化遗产保护及数字孪生领域的研究人员
倒塌建筑遗迹的物理性复原——将散落石块精确还原至原始结构形态——是文物保护中最具挑战性的课题之一。传统方法依赖专家主观判断与逐块比对,耗时且易受主观影响。受积木游戏Jenga的组合复杂性启发,我们提出Jenga Inverse Predictor(JIP-2),一个基于GPU加速的深度学习框架,将结构复原转化为逆向预测任务。给定塌陷石块图像,JIP-2通过:(1) 实现包含OBB/SAT碰撞检测与经过Numba JIT和CuPy CUDA加速的投影高斯-赛德尔(PGS)接触求解器的完整刚体物理引擎;(2) 在三组摩擦系数(μ_s ∈ {0.25, 0.40, 0.60})下,应用Ziglar(CMU, 2006)提出的临界力阈值(Y轴无扭矩:F_app = 3*μ_s*m*g;X轴有扭矩风险:F_app = 4*μ_s*m*g),共进行450次仿真;(3) 训练双流ResNet-18网络,输入摩擦等级独热编码,联合预测石块移除数量、各位置移除概率、质心失衡程度及Ziglar扭矩风险;(4) 生成平滑的三维逐块逆向重建视频。本文讨论了该方法在尤卡坦半岛尤克斯马拉(Uxmal)UNESCO遗址的应用前景,并详细描述了完整技术流程、模型架构与损失函数设计。
原文摘要 · Abstract (English)
The physical anastylosis of collapsed architectural monuments -- the meticulous reassembly of fallen stone elements into their original structural configuration -- represents one of the most intellectually demanding challenges in conservation science. Traditional approaches depend heavily on expert archaeologist judgement and manual block-by-block correspondence, a process that is both labour-intensive and inherently subjective. Inspired by the combinatorial complexity of this problem as manifested in the game of Jenga, we present Jenga Inverse Predictor , a GPU-accelerated deep learning framework that addresses structural anastylosis as an inverse prediction task. Given an image of a collapsed block assembly, JIP-2 reconstructs the most probable prior tower configuration by: (1) implementing a complete rigid-body physics engine with OBB/SAT collision detection and a Projected Gauss-Seidel (PGS) contact solver accelerated with Numba JIT and CuPy CUDA; (2) applying the analytical force thresholds of Ziglar (CMU, 2006) -- F_app = 3*mu_s*m*g (Y-axis, torque-free) and F_app = 4*mu_s*m*g (X-axis, torque risk) -- over three friction levels (mu_s in {0.25, 0.40, 0.60}) across 450 simulated episodes; (3) training a dual-stream ResNet-18 that injects a friction one-hot vector and jointly predicts block removal count, per-position removal probabilities, centre-of-mass imbalance, and Ziglar torque risk; and (4) generating a smooth 3-D video of the block-by-block reverse reconstruction. We discuss implications for computer-assisted anastylosis at the UNESCO Maya site of Uxmal, Yucatan, and provide a detailed technical description of the full pipeline, architecture, and loss formulation.
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