http://ieeexplore.ieee.org TOC Alert for Publication# 2945 2012 February 10 18 3 c1 c1 169 18 3 c2 c2 153 18 3 353 353 33 18 3 354 355 100 18 3 356 368 1401 18 3 369 380 728 18 3 381 393 1637 18 3 394 406 1311 n based on the preservation of the Hausdorff metric in streamline space. The image of a vector field under this map is a set of 2-manifolds in IRⁿ with characteristic geometry and topology. Then standard clustering methods applied to the point sets in IRⁿ yield a segmentation of the original vector field. Our approach provides a global analysis of 3D vector fields which incorporates the topological segmentation but yields additional information. In addition to a pure segmentation, the established map provides a natural "parametrization” visualized by the manifolds. We test our approach on a number of synthetic and real-world data sets.]]> 18 3 407 420 1996 18 3 421 433 2808 18 3 434 446 2128 18 3 447 462 5207 18 3 463 474 1771 18 3 475 487 3139 18 3 488 500 1373 18 3 501 515 1714 18 3 516 526 527 18 3 527 527 1438 18 3 528 528 759 18 3 c3 c3 153 18 3 c4 c4 169