A Unified Feature Extraction Architecture

We present a unified feature extraction architecture consisting of only three core algorithms that allows to extract and track a rich variety of geometrically defined, local and global features evolving in scalar and vector fields. The architecture builds upon the concepts of Feature Flow Fields and Connectors, which can be implemented using the three core algorithms finding zeros, integrating and intersecting stream objects. We apply our methods to extract and track the topology and vortex core lines both in steady and unsteady flow fields.

[1]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.

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

[3]  Gerik Scheuermann,et al.  Visualizing Nonlinear Vector Field Topology , 1998, IEEE Trans. Vis. Comput. Graph..

[4]  Hans-Christian Hege,et al.  amira: A Highly Interactive System for Visual Data Analysis , 2005, The Visualization Handbook.

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

[6]  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.

[7]  Hans-Peter Seidel,et al.  Grid-independent Detection of Closed Stream Lines in 2D Vector Fields , 2004, VMV.

[8]  Jeff P. Hultquist,et al.  Constructing stream surfaces in steady 3D vector fields , 1992, Proceedings Visualization '92.

[9]  Gerik Scheuermann,et al.  Detection and Visualization of Closed Streamlines in Planar Flows , 2001, IEEE Trans. Vis. Comput. Graph..

[10]  B. R. Noack,et al.  On the transition of the cylinder wake , 1995 .

[11]  Ronald Peikert,et al.  Flow visualization for turbomachinery design , 1996, Proceedings of Seventh Annual IEEE Visualization '96.

[12]  Hans-Peter Seidel,et al.  Topological simplification of 3D vector fields and extracting higher order critical points , 2005 .

[13]  Suresh K. Lodha,et al.  Topology preserving compression of 2D vector fields , 2000, Proceedings Visualization 2000. VIS 2000 (Cat. No.00CH37145).

[14]  Hans-Peter Seidel,et al.  Extraction of parallel vector surfaces in 3D time-dependent fields and application to vortex core line tracking , 2005, VIS 05. IEEE Visualization, 2005..

[15]  Ronald Peikert,et al.  A higher-order method for finding vortex core lines , 1998, Proceedings Visualization '98 (Cat. No.98CB36276).

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

[17]  J. Debonis,et al.  Low Dimensional Modeling of Flow for Closed-Loop Flow Control , 2003 .

[18]  Nelson L. Max,et al.  Flow volumes for interactive vector field visualization , 1993, Proceedings Visualization '93.

[19]  Hans-Peter Seidel,et al.  Saddle connectors - an approach to visualizing the topological skeleton of complex 3D vector fields , 2003, IEEE Visualization, 2003. VIS 2003..

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

[21]  David C. Banks,et al.  A Predictor-Corrector Technique for Visualizing Unsteady Flow , 1995, IEEE Trans. Vis. Comput. Graph..

[22]  Hans-Peter Seidel,et al.  Extracting higher order critical points and topological simplification of 3D vector fields , 2005, VIS 05. IEEE Visualization, 2005..

[23]  Hans-Peter Seidel,et al.  Feature Flow Fields in Out-of-Core Settings , 2007, Topology-based Methods in Visualization.

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

[25]  Charles D. Hansen,et al.  Visualization of intricate flow structures for vortex breakdown analysis , 2004, IEEE Visualization 2004.

[26]  Holger Theisel.  Designing 2D Vector Fields of Arbitrary Topology , 2002, Comput. Graph. Forum.

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

[28]  Hans-Peter Seidel,et al.  Topological Construction and Visualization of Higher Order 3D Vector Fields , 2004, Comput. Graph. Forum.

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

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

[31]  D. Sujudi,et al.  Identification of Swirling Flow in 3-D Vector Fields , 1995 .

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

[33]  B. R. Noack,et al.  A low‐dimensional Galerkin method for the three‐dimensional flow around a circular cylinder , 1994 .

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