Feature Flow Fields in Out-of-Core Settings

Feature Flow Fields (FFF) are an approach to tracking features in a time-dependent vector field v. The main idea is to introduce an appropriate vector field f in space-time, such that a feature tracking in v corresponds to a stream line integration in f. The original approach of feature tracking using FFF requested that the complete vector field v is kept in main memory. Especially for 3D vector fields this may be a serious restriction, since the size of time-dependent vector fields can exceed the main memory of even high-end workstations. We present a modification of the FFF-based tracking approach which works in an out-of-core manner. For an important subclass of all possible FFF-based tracking algorithms we ensure to analyze the data in one sweep while holding only two consecutive time steps in main memory at once. Similar to the original approach, the new modification guarantees the complete feature skeleton to be found. We apply the approach to tracking of critical points in 2D and 3D time-dependent vector fields.

[1]  Hans-Christian Hege,et al.  Eurographics -ieee Vgtc Symposium on Visualization (2005) Galilean Invariant Extraction and Iconic Representation of Vortex Core Lines , 2022 .

[2]  Hans Hagen,et al.  Continuous topology simplification of planar vector fields , 2001, Proceedings Visualization, 2001. VIS '01..

[3]  Rüdiger Westermann,et al.  Topology-Preserving Smoothing of Vector Fields , 2001, IEEE Trans. Vis. Comput. Graph..

[4]  Lambertus Hesselink,et al.  Representation and display of vector field topology in fluid flow data sets , 1989, Computer.

[5]  Christian Rössl,et al.  Combining topological simplification and topology preserving compression for 2D vector fields , 2003, 11th Pacific Conference onComputer Graphics and Applications, 2003. Proceedings..

[6]  Christian Rössl,et al.  Using Feature Flow Fields for Topological Comparison of Vector Fields , 2003, VMV.

[7]  Robert S. Laramee,et al.  Feature Extraction and Visualisation of Flow Fields , 2002, Eurographics.

[8]  Robert van Liere,et al.  Collapsing flow topology using area metrics , 1999, Proceedings Visualization '99 (Cat. No.99CB37067).

[9]  Xavier Tricoche,et al.  Tracking of vector field singularities in unstructured 3D time-dependent datasets , 2004, IEEE Visualization 2004.

[10]  Al Globus,et al.  A tool for visualizing the topology of three-dimensional vector fields , 1991, Proceeding Visualization '91.

[11]  Ronald Peikert,et al.  Vortex Tracking in Scale-Space , 2002, VisSym.

[12]  Hans-Peter Seidel,et al.  Topological methods for 2D time-dependent vector fields based on stream lines and path lines , 2005, IEEE Transactions on Visualization and Computer Graphics.

[13]  Hans-Peter Seidel,et al.  Boundary switch connectors for topological visualization of complex 3D vector fields , 2004, VISSYM'04.

[14]  Ronald Peikert,et al.  The "Parallel Vectors" operator-a vector field visualization primitive , 1999, Proceedings Visualization '99 (Cat. No.99CB37067).

[15]  Hans-Peter Seidel,et al.  Feature Flow Fields , 2003, VisSym.

[16]  Suresh K. Lodha,et al.  Topology Preserving Top-Down Compression of 2D Vector Fields Using Bintree and Triangular Quadtrees , 2003, IEEE Trans. Vis. Comput. Graph..

[17]  Hans Hagen,et al.  Topology tracking for the visualization of time-dependent two-dimensional flows , 2002, Comput. Graph..