Yu Jie, Li Yangtenglong, Bai Xuan, Yang Ronghao, Cui Mengxue, Wu Haohao, Li Zheng, Su Fangzheng, Li Ze, Liang Taohuai, Yan Hongliang
College of Earth and Planetary Sciences, Chengdu University of Technology, Chengdu, 610059, China.
Key Laboratory of High-Speed Railway Engineering of Ministry of Education, Southwest Jiaotong University, Chengdu, 610031, China.
Sci Rep. 2025 Mar 28;15(1):10681. doi: 10.1038/s41598-025-94274-w.
In recent years, super-resolution reconstruction has been introduced into DEM. The process of mapping low-resolution DEM images to high-resolution DEM is highly uncertain. At present, DEM super-resolution reconstruction methods mainly solve the problem by designing a more sophisticated network. However, the existing methods fail to capture the complex conditional distribution of high-resolution DEM during training, resulting in blurring and artifacts in the reconstruction results. Based on the lack of explicit, high-resolution DEM conditional distribution modeling, this paper proposes a reversible network model based on normalized flow. The model uses the characteristics of real low-resolution DEM images as conditions and learns to map the distribution of high-resolution DEM images to simple Gaussian distribution, thereby simulating the conditional distribution of high-resolution DEM. The negative log-likelihood function and pixel loss function are used to accelerate the optimization to generate high-resolution DEM images that are closer to the natural terrain. Experiments show that the proposed model can preserve the terrain features and achieve good performance. Especially on the test set, compared with the traditional interpolation method (Bicubic) and the existing deep learning methods (SRGAN and Internal-External), the PSNR results of this model are improved by 2.03%, 0.43%, and 2.58%, respectively.
近年来,超分辨率重建已被引入到数字高程模型(DEM)中。将低分辨率DEM图像映射到高分辨率DEM的过程具有高度不确定性。目前,DEM超分辨率重建方法主要通过设计更复杂的网络来解决该问题。然而,现有方法在训练过程中未能捕捉到高分辨率DEM的复杂条件分布,导致重建结果出现模糊和伪影。基于缺乏对高分辨率DEM条件分布的显式建模,本文提出了一种基于归一化流的可逆网络模型。该模型以真实低分辨率DEM图像的特征为条件,学习将高分辨率DEM图像的分布映射到简单高斯分布,从而模拟高分辨率DEM的条件分布。利用负对数似然函数和像素损失函数加速优化,以生成更接近自然地形的高分辨率DEM图像。实验表明,所提出的模型能够保留地形特征并取得良好性能。特别是在测试集上,与传统插值方法(双立方插值)和现有深度学习方法(SRGAN和Internal-External)相比,该模型的峰值信噪比(PSNR)结果分别提高了2.03%、0.43%和2.58%。