Abstract #301158

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JSM 2002 Abstract #301158
Activity Number: 171
Type: Topic Contributed
Date/Time: Tuesday, August 13, 2002 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistical Graphics*
Abstract - #301158
Title: Visualizing 3-D Vectors in 3-D Space
Author(s): Darin Marriott*+ and Deanna Marriott+
Affiliation(s): Ohio State University and University of Michigan
Address: , , Ohio, , usa 1420 Washington Heights, SPH2, Ann Arbor, Michigan, 48109-2029, USA
Keywords: high-dimension ; color axes ; vector graphics ; plasma waves ; spherical harmonics ; visualization
Abstract:

Most physical problems involve three-dimensional vectors, which vary systematically relative to their location in three-dimensional spaces (e.g., problems in fluid mechanics, turbulent mixing, and electromagnetism.) Visualizing these vectors with respect to their physical location can be difficult.

We propose to plot these 6-D data using three-dimensional Cartesian coordinates and 3-D color axes. This method decomposes the standard one-dimensional color scale into a 3-D orthogonal basis using the "primary colors" of the computer industry, expressed as vectors.

In addition to introducing the method, we will consider several applications, including solutions to Maxwell's equations for resonant cavities, electric propulsion, and various magneto hydrodynamic waves.

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Revised March 2002