Tensors provide a powerful language to describe physical phenomena. Consequently, they
have a long tradition in physics and appear in various application areas, either as the final …

Tensor field has been widely used in various applications, such as medical imaging,
industrial manufacturing, high-dimensional data analysis, and so forth. However, it is a …

We present a visual approach for the exploration of stress tensor fields. In contrast to
common tensor visualization methods that only provide a single view to the tensor field, we …

In this work, we propose a controlled simplification strategy for degenerated points in
symmetric 2D tensor fields that is based on the topological notion of robustness. Robustness …

Curvature analysis is frequently employed in shape interrogation. Umbilical points are of
particular interest in curvature analysis because of their identical normal curvatures in all …

Topological feature analysis is a powerful instrument to understand the essential structure of
a dataset. For such an instrument to be useful in applications, however, it is important to …

In this work we show how the variability of visualization methods like textures and glyphs
can be used to enhance established methods like topology. A topology-based segmentation …

The topological structure of scalar, vector, and second‐order tensor fields provides an
important mathematical basis for data analysis and visualization. In this paper, we extend …

This paper is concerned with the extraction of the surface topology of tensor fields on 2D
triangulated manifolds embedded in 3D. In scientific visualization topology is a meaningful …

基于扩散张量成像(diffusion tensor imaging, DTI) 进行人脑白质神经纤维追踪可以实现活体
无创重建纤维. 由于DTI 分辨率的局限性, 在追踪过程中需要对扩散张量场进行插值以获取连贯 …