Computer Science Department, University of California, Santa Cruz
Abstract:
This paper addresses several issues related to topological
analysis of 3D second order symmetric tensor fields.
First, we show that the degenerate features in such data sets
form stable topological lines rather than points as previously
thought. Secondly, the paper presents two different methods for
extracting these features by identifying the individual points on
these lines and connecting them. Thirdly, this paper proposes an
analytical form of obtaining tangents at the degenerate points
along these topological lines. The tangents are derived from a
Hessian factorization technique on the tensor discriminant and
leads to a fast and stable solution. Together, these three advances
allow us to extract the backbone topological lines that form the
basis for topological analysis of tensor fields.
Paper:
Download full paper (pdf)
Results:
Click on the thumbnails to see the full images:
Click here to see more cool images and animations ...
Animations:
Use Windows Media Player to view the animation of feature lines
on a stress tensor field with a tensile and a compressive point
load. The data set is courtesy of Boris Jeremic:
Both type-P and type-L feature lines:
(download)
Only type-P lines:
(download)
Only type-L lines:
(download)
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