Time-Varying meshes (TVMs), characterized by their varying connectivity and number of vertices, hold significant potential in immersive media and other various applications. However, their practical utilization is challenging due to their time-varying features and large file sizes. Creating a reference mesh that contains the most essential information is a promising approach to utilizing shared information within TVMs to reduce storage and transmission costs. We propose a novel method that employs volume tracking to extract reference meshes. First, we adopt as-rigid-as-possible (ARAP) volume tracking on TVMs to get the volume centers for each mesh. Then, we use multidimensional scaling (MDS) to get reference centers that ensure the reference mesh avoids self-contact regions. Finally, we map the vertices of the meshes to reference centers and extract the reference mesh. Our approach offers a feasible solution for extracting reference meshes that can serve multiple purposes such as establishing surface correspondence, deforming the reference mesh to different shapes for I-frame based mesh compression, or defining the global shape of the TVMs.

翻译：时变网格（TVMs）以其变化的连接关系和顶点数量为特征，在沉浸式媒体及其他多种应用中具有重要潜力。然而，由于其时变特性和庞大的文件尺寸，实际应用面临挑战。创建一个包含最核心信息的参考网格，是利用TVMs内部共享信息以降低存储和传输成本的有效途径。我们提出了一种采用体积追踪来提取参考网格的新方法。首先，我们对TVMs采用尽可能刚性（ARAP）的体积追踪，以获得每个网格的体积中心。接着，我们使用多维缩放（MDS）来获取参考中心，确保参考网格避开自接触区域。最后，我们将网格的顶点映射到参考中心，并提取出参考网格。我们的方法为提取参考网格提供了一个可行的解决方案，该网格可用于多种目的，例如建立表面对应关系、将参考网格变形为不同形状以用于基于I帧的网格压缩，或定义TVMs的整体形状。