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Coloring 3D Line Fields Using Boy’s Real Projective Plane Immersion
November/December 2009 (vol. 15 no. 6)
pp. 1457-1464
Çağatay Demiralp, Brown University
John F. Hughes, Brown University
David H. Laidlaw, Brown University
We introduce a new method for coloring 3D line fields and show results from its application in visualizing orientation in DTI brain data sets. The method uses Boy’s surface, an immersion of RP2 in 3D. This coloring method is smooth and one-to-one except on a set of measure zero, the double curve of Boy’s surface.

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Index Terms:
Line field, colormapping, orientation, real projective plane, tensor field, DTI.
Çağatay Demiralp, John F. Hughes, David H. Laidlaw, "Coloring 3D Line Fields Using Boy’s Real Projective Plane Immersion," IEEE Transactions on Visualization and Computer Graphics, vol. 15, no. 6, pp. 1457-1464, Nov.-Dec. 2009, doi:10.1109/TVCG.2009.125
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