Topological Comparison

Topological Comparison

Since topology gives abstractions for data, it is natural to ask whether one can use a structure like the contour tree to compare two functions. One way this can be useful is to take two different functions in a simulation, use the topology to identify features in each, then compare them to see how reliable they are individually or together:

Of course, if you can do this with two functions, you can do it with more as well:

Related Research Topics:

Contour Tree Computation
Scalar Topological Visualisation
Isosurface Acceleration
Isosurface Quality
Direct Volume Rendering
Histograms and Isosurfaces
Multivariate Topology
Fiber Surfaces
Aerial Urban LiDAR
Exascale Data Analysis