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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:

Scalar Comparisons

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

Co-Area Follow-up

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

Authors from VCG

Hamish Carr