arXiv:2604.09700cs.CVcs.AI2026-04

用注意力引导的连续流匹配,让稀疏地质数据生成更真实3D模型。

Attention-Guided Flow-Matching for Sparse 3D Geological Generation

  • 将离散生成转为无模拟的连续向量场回归,稳定建模
  • 在2200个案例上优于传统插值和扩散模型,尤其对稀疏数据鲁棒
  • 适合地质建模、资源勘探等需要高保真结构的场景

从稀疏的一维钻孔和二维地表数据构建高分辨率三维地质模型是一个高度病态的反问题。传统启发式与隐式建模方法在极端稀疏条件下无法捕捉非线性拓扑不连续性,常产生不合理的伪影。尽管扩散模型等深度生成架构在连续域中取得突破,但其在稀疏类别网格条件下的表示会严重坍缩。为此,我们提出3D-GeoFlow,首个面向稀疏多模态地质建模的注意力引导连续流匹配框架。通过将离散类别生成重构为无需模拟的连续向量场回归,并以均方误差优化,模型建立了稳定、确定性的最优传输路径。关键在于,我们引入3D注意力门,动态传播局部钻孔特征至体素潜在空间,确保宏观结构一致性。为验证框架,我们构建了包含2,200个程序生成的三维地质案例的大规模多模态数据集。大量分布外(OOD)评估表明,3D-GeoFlow实现范式转变,显著优于启发式插值和标准扩散基线。

原文摘要 · Abstract (English)

Constructing high-resolution 3D geological models from sparse 1D borehole and 2D surface data is a highly ill-posed inverse problem. Traditional heuristic and implicit modeling methods fundamentally fail to capture non-linear topological discontinuities under extreme sparsity, often yielding unrealistic artifacts. Furthermore, while deep generative architectures like Diffusion Models have revolutionized continuous domains, they suffer from severe representation collapse when conditioned on sparse categorical grids. To bridge this gap, we propose 3D-GeoFlow, the first Attention-Guided Continuous Flow Matching framework tailored for sparse multimodal geological modeling. By reformulating discrete categorical generation as a simulation-free, continuous vector field regression optimized via Mean Squared Error, our model establishes stable, deterministic optimal transport paths. Crucially, we integrate 3D Attention Gates to dynamically propagate localized borehole features across the volumetric latent space, ensuring macroscopic structural coherence. To validate our framework, we curated a large-scale multimodal dataset comprising 2,200 procedurally generated 3D geological cases. Extensive out-of-distribution (OOD) evaluations demonstrate that 3D-GeoFlow achieves a paradigm shift, significantly outperforming heuristic interpolations and standard diffusion baselines.

地质建模生成模型流匹配稀疏数据

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。