We present a novel technique for hierarchical super resolution (SR) with neural networks (NNs), which upscales volumetric data represented with an octree data structure to a high-resolution uniform grid with minimal seam artifacts on octree node boundaries. Our method uses existing state-of-the-art SR models and adds flexibility to upscale input data with varying levels of detail across the domain, instead of only uniform grid data that are supported in previous approaches. The key is to use a hierarchy of SR NNs, each trained to perform 2x SR between two levels of detail, with a hierarchical SR algorithm that minimizes seam artifacts by starting from the coarsest level of detail and working up. We show that our hierarchical approach outperforms baseline interpolation and hierarchical upscaling methods, and demonstrate the usefulness of our proposed approach across three use cases including data reduction using hierarchical downsampling+SR instead of uniform downsampling+SR, computation savings for hierarchical finite-time Lyapunov exponent field calculation, and super-resolving low-resolution simulation results for a high-resolution approximation visualization.
翻译:我们提出了一种具有神经网络(NNs)的超高等级解析(SR)的新技术,它将包含八叶形数据结构的体积数据升级为高分辨率统一网格,在八叶节边界上最小的缝合工艺;我们的方法使用现有最先进的SR模型,并增加灵活性,使具有不同详细程度的全域投入数据升级,而不只是以往方法所支持的统一网格数据。关键在于使用SRNP的等级,每个受过训练的SNP在两个详细级别之间执行2xSR,并采用从最粗细的细节和工作水平开始将缝合工艺最小化的等级SR算法。我们表明,我们的等级方法超越了基线的内推法和等级上升法,并表明我们所提议的方法在三个使用的案例中的实用性,包括使用下级降层抽样+SR而不是统一下调抽样+SR来减少数据,计算等级定时的Lyapunov排外场计算和高分辨率直观的超分辨率低分辨率模拟结果。