几何与频域双约束的单步扩散海底地形超分辨率重建方法

Geometric and Frequency-Domain Constrained Single-Step Diffusion for Seabed Terrain Super-Resolution Reconstruction

  • 摘要: 针对传统海底地形超分辨率重建方法在复杂海底地形中存在细节模糊、陡坡区域结构失真以及大范围拼接区域连续性不足等问题,提出一种兼顾地形结构保持与区域一致性的高精度海底地形超分辨率重建方法。该方法构建了几何与频域双约束的单步扩散超分辨率模型,通过设计融合地形几何特征与频域约束的损失函数,引导模型在超分辨率重建过程中有效恢复陡坡结构及局部细节变化,从而提升复杂海底地形的结构保持能力与重建精度。同时,针对大范围超分辨率重建过程中子区域拼接易产生接缝的问题,提出基于距离变换的加权融合方法,通过构建与边界距离相关的空间权重,实现重叠区域的平滑过渡与一致性约束。实验结果表明,相较于公开的3″分辨率全球地形产品GDEM(global digital elevation model),所提方法在多个测试区域中获得了更高的重建精度。重建结果与实测多波束数据之间的平均均方根误差和平均绝对误差分别降低了35.40%和34.37%,平均峰值信噪比提高了4.25 dB,有效缓解了复杂地形区域中的陡坡失真与地形过度平滑问题。所提方法能够在保证地形结构特征的同时实现高质量海底地形超分辨率重建,为大范围海底地形精细建模提供了一种高效且具有实用价值的技术路径。

     

    Abstract:
    Objectives Bathymetric datasets are often constrained by limited observation coverage and high acquisition costs, resulting in insufficient spatial resolution, loss of fine-scale terrain features, and discontinuities in large-area reconstructions. To address these issues, a high-precision super-resolution reconstruction framework is developed to enhance both geometric fidelity and spatial consistency of seafloor topography.
    Methods A single-step diffusion-based super-resolution model incorporating terrain-aware constraints is constructed. The model is derived through distillation from an accelerated diffusion framework, enabling efficient one-step inference while preserving high reconstruction quality. To better capture complex geomorphological structures, slope and curvature information are introduced as geometric priors and embedded into the loss function design. In addition, a frequency-domain constraint based on discrete cosine transform is incorporated to enhance high-frequency detail recovery. To mitigate discontinuities caused by patch-wise reconstruction in large-area applications, a distance transform-based weighted fusion method is proposed. By assigning spatially adaptive weights according to the distance to patch boundaries, smooth transitions and consistency across overlapping regions are achieved.
    Results Experiments are conducted using bathymetric datasets, with the 3″ global digital elevation model as the baseline and multibeam sounding data as ground truth. Quantitative evaluations over multiple representative regions demonstrate that the proposed method significantly improves reconstruction accuracy and structural consistency. Specifically, the average root mean square error and mean absolute error are reduced from 37.23 m to 24.05 m and from 22.55 m to 14.80 m,corresponding to reductions of 35.40% and 34.37%,respectively. Meanwhile, the ave‑rage peak signal-to-noise ratio increases by 4.25 dB. Visual comparisons further indicate that the proposed method effectively preserves steep slopes and fine-scale terrain features while suppressing artifacts and over-smoothing effects. The proposed fusion strategy also substantially alleviates stitching artifacts and improves spatial continuity across reconstructed regions.
    Conclusions By integrating terrain geometry and frequency-domain constraints into a single-step diffusion framework, the proposed method achieves an effective balance between reconstruction accuracy and spatial consistency. The method provides an effective and scalable solution for bathymetric super-resolution reconstruction, with strong potential for applications in marine science, resource exploration, and ocean engineering.

     

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