Slide 38 of 42
There are a number of possible directions for further work. One of the most
important is the calculation of the position function, since that is what the
user relies on to have captured information about the boundaries in the volume.
Also, since we saw that a boundary in the volume is always manifested by a
particular shape in the histogram volume, it makes sense to try an object recognition
technique from computer vision, such as the Hough transform. We're also interested
in extending the technique to non-scalar data, such as multi-echo MRI, where the
user might be interested in seeing material boundaries. It would also be
interesting to see if the basic ideas can be extended to more general
vector viz problems.