Title:	Multi scale color coding of derived curvature and torsion fields on a multi-block curvilinear grid
Authors:	Brener, Nathan Harhad, Farid Karki, Bijaya Benger, Werner
Citation:	WSCG 2014: communication papers proceedings: 22nd International Conference in Central Europeon Computer Graphics, Visualization and Computer Visionin co-operation with EUROGRAPHICS Association, p. 353-360.
Issue Date:	2014
Publisher:	Václav Skala - UNION Agency
Document type:	konferenční příspěvek conferenceObject
URI:	wscg.zcu.cz/WSCG2014/!!_2014-WSCG-Communication.pdf http://hdl.handle.net/11025/26434
ISBN:	978-80-86943-71-8
Keywords:	zakřivení;torze;vizualizace vektorových polí;nelineární barevná mapa;generování přenosových funkcí;výpočetní dynamika kapalin
Keywords in different language:	curvature;torsion;vector field visualization;nonlinear color map;transfer function generation;computational fluid dynamics
Abstract in different language:	We present a method to compute and visualize the curvature and torsion scalar fields derived from a vector field defined on a multi-block curvilinear grid. In order to compute the curvature and torsion fields, we define a uniform Cartesian grid of points in the volume occupied by the curvilinear grid and interpolate from the curvilinear grid to the Cartesian grid to get the vector field at the Cartesian grid points. We can then use finite difference formulas to numerically compute the derivatives needed in the curvature and torsion formulas. Once the curvature and torsion have been computed at the Cartesian grid points, we employ a multi scale color coding technique to visualize these scalar fields in orthoslices of the Cartesian grid. This multi scale technique allows one to observe the entire range of values of the scalar field, including small, medium and large values. In contrast, if uniform color coding is used to visualize curvature and torsion fields, it sometimes shows most of the values in a single predominant color, which makes it impossible to distinguish between the small, medium and large values. As an example of this multi-scale technique, we displayed the curvature and torsion fields in a computational fluid dynamics (CFD) simulation of an industrial stirred tank and used these images to identify regions of low, medium and high fluid mixing in the tank.
Rights:	@ Václav Skala - UNION Agency
Appears in Collections:	WSCG 2014: Communication Papers Proceedings

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