Asymptotic Topology of 3D Linear Symmetric Tensor Fields

3D symmetric tensor fields have a wide range of applications in science and engineering. The topology of such fields can provide critical insight into not only the structures in tensor fields but also their respective applications. Existing research focuses on the extraction of topological features such as degenerate curves and neutral surfaces. In this paper, we investigate the asymptotic behaviors of these topological features in the sphere of infinity. Our research leads to both theoretical analysis and observations that can aid further classifications of tensor field topology.