The Visualization of Degenerate Surface in 3D Diffusion Tensor Field

Abstract

  The hyper streamline of diffusion tensor fields is a key technique to visualize the continuous behaviors of biological tissues such as neural or muscle fibers. However, due to the difficulty to handle possible rotational inconsistency (degeneracy), the visualization of hyper stramline is always a hard problem. In a previous research, a visualization result of the degenerate lines in the diffusion 3D Tensors have been showed without considering the possible linear double degenrate point. In this paper, we present an approach to finding the degenerate surfce of the 3D diffusion tensors by locating the possible degeneracy and removing the linear double degenerate point. To visualize the degenerate surface, we use the isosurface as the basic method to approximate the degenerate surface. By rendering the isosurface as an animation, we can obtain a precise degenerate surface in 3D diffusion tensor field.