Three-Dimensional Vector Field Visualization Based on Tensor Decomposition

This paper presents a visualization method called the deformed cube for visualizing 3D velocity vector field. Based on the decomposition of the tensor which describes the changes of the velocity it provides a teclmique for visualizing local flow. A deformed cube, a cube transformed by a tensor in a local coordinate frame, shows the local stretch, shear and rigid body rotation of the local flow corresponding to the decomposed component of the tensor. Users can interactively view the local deformation or any …