This is the fast-forward session video for our SciVis'09 paper with the same title on a general model for coloring three-dimensional line collections using Werner Boy's immersion of the real projective plane (RP2) in R3. This immersion is generally known as Boy's surface. The video is intended to be a fun snippet of our work. Below is also the abstract for the paper. if it sounds interesting, take a look at the paper at hci.stanford.edu/~cagatay/projects/boys/Demiralp-2009-CLF.pdf
We introduce a new method for coloring 3D line ﬁelds and show results from its application in visualizing orientation in Diffusion Tensor Imaging (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.