Abstract This work presents the Domain Transform for Spherical Geometry Images (DT-SGIM): a filter designed for smoothing triangle meshes represented as spherical geometry images (SGIM) and, at the same time, preserving the meshes’ important curvatures. It is based on the domain transform filter (DT), a high-performance, real-time algorithm for edge-aware smoothing of color images. Our main contribution is the extension of the DT filter to the SGIM domain, resulting in the first method specifically designed for filtering 3-D objects represented by SGIMs, as well as the first demonstration of a domain transform-based filter applied to the problem of polygonal mesh filtering.

中文翻译：

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球面几何图像的域变换

摘要 这项工作提出了球面几何图像域变换 (DT-SGIM)：一种设计用于平滑表示为球面几何图像 (SGIM) 的三角形网格的滤波器，同时保留网格的重要曲率。它基于域变换滤波器 (DT)，这是一种用于彩色图像边缘感知平滑的高性能实时算法。我们的主要贡献是将 DT 过滤器扩展到 SGIM 域，从而产生了第一个专门用于过滤由 SGIM 表示的 3-D 对象的方法，以及第一个应用于基于域变换的过滤器的演示多边形网格过滤。