Three-Dimensional Flow Characterization Using Vector Pattern Matching

This paper describes a novel method for regional characterization of three-dimensional vector fields using a pattern matching approach. Given a three-dimensional vector field, the goal is to automatically locate, identify, and visualize a selected set of classes of structures or features. Rather than analytically defining the properties that must be fulfilled in a region in order to be classified as a specific structure, a set of idealized patterns for each structure type is constructed. Similarity to these patterns is then defined and calculated. Examples of structures of interest include vortices, swirling flow, diverging or converging flow, and parallel flow. Both medical and aerodynamic applications are presented in this paper.

[1]  Hans-Georg Pagendarm,et al.  Detecting vortical phenomena in vector data by medium-scale correlation , 1999, Proceedings Visualization '99 (Cat. No.99CB37067).

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

[3]  M. Yacoub,et al.  Asymmetric redirection of flow through the heart , 2000, Nature.

[4]  C. Schram,et al.  Vortex ring evolution in an impulsively started jet using digital particle image velocimetry and continuous wavelet analysis , 2001 .

[5]  Guang-Zhong Yang,et al.  Helical and Retrograde Secondary Flow Patterns in the Aortic Arch Studied by Three‐Directional Magnetic Resonance Velocity Mapping , 1993, Circulation.

[6]  T. Ebbers,et al.  Particle trace visualization of intracardiac flow using time‐resolved 3D phase contrast MRI , 1999, Magnetic resonance in medicine.

[7]  David Kenwright Automatic detection of open and closed separation and attachment lines , 1998 .

[8]  B. Wranne,et al.  Temporally resolved 3D phase‐contrast imaging , 1996, Magnetic resonance in medicine.

[9]  H. Lugt,et al.  The Dilemma of Defining a Vortex , 1979 .

[10]  R. Cucitore,et al.  On the effectiveness and limitations of local criteria for the identification of a vortex , 1999 .

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

[12]  M. S. Chong,et al.  Topology of flow patterns in vortex motions and turbulence , 1994 .

[13]  Hans Knutsson,et al.  Signal processing for computer vision , 1994 .

[14]  D. Degani,et al.  Graphical visualization of vortical flows by means of helicity , 1990 .

[15]  Hans-Georg Pagendarm,et al.  Selective visualization of vortices in hydrodynamic flows , 1998 .

[16]  H. Knutsson,et al.  Advanced Filter Design , 1999 .

[17]  T Ebbers,et al.  Three dimensional flow in the human left atrium , 2001, Heart.

[18]  Robert Haimes,et al.  Vortex identification—applications in aerodynamics: a case study , 1997 .

[19]  M. S. Chong,et al.  A general classification of three-dimensional flow fields , 1990 .

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

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

[22]  Ronald Peikert,et al.  A higher-order method for finding vortex core lines , 1998 .

[23]  B. Bellhouse,et al.  Fluid Mechanics of the Mitral Valve , 1969, Nature.

[24]  Paul D. Orkwis,et al.  Flow field saddles and their relation to vortex asymmetry , 1997 .

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

[26]  Lambertus Hesselink,et al.  Feature comparisons of vector fields using earth mover's distance , 1998 .

[27]  Robert Haimes,et al.  Automatic Vortex Core Detection , 1998, IEEE Computer Graphics and Applications.