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Contour Spectrum Analysis
Contour spectrum analysis computes quantitative signature functions.
The horizontal axis spans the scalar values a.
Computation and Plot of a set of signatures (length, area, gradient ...)
as functions of the scalar value a.
Vertical axis spans normalized ranges of each signature.
White vertical white bars mark current selected isovalues.
TAQT: Topological Analysis and Quantitative Tools
TAQT computes topological properties of scalar data such as Betti numbers
and contour trees. Contour tree tells us the number of components per
isocontour which isocontours merge together or split while modifying the
isovalue.
Morse complex
Here is an example of Morse complex of electron density.
Critical Points with Linking Curves
The gradual increase of the field opacity allows to better understand
its spatial distribution of path connected components.
HyperVolume Exploration Tools
HyperVolume Exploration Tools is a High Dimensional Scalar Field Exploration software.
Consider the molecular interaction energy between a receptor and a ligand.
Assuming rough axial symmetry of the ligand, this is a scalar field SF defined on a
five-dimensional configuration space (three translational degrees of freedom
and two rotational degrees of freedom). RED = attraction BLUE = repulsion
GREEN = free configuration 5-dimensional scalar field given by the interaction energy
between a small ligand and a large receptor (three translational degrees of freedom
and two rotational degrees of freedom). The axis of one degree of freedom is much
longer than the others to highlight the relevance of such rotation. From the top
picture it is clear that low or high angles (large red spots) are more favorable for
the docking of the two molecules. Removing all colors but red as in the bottom
figure you can also see how the two large regions are connected by a narrow tunnel.
Hodkgin similarity index analysis for 242 protein chains by UPGMA
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