Optimal Moebius Transformations for Information Visualization and Meshing

Details Optimal Moebius Transformations for Information Visualization and Meshing Optimal Moebius Transformations for Information Visualization and Meshing

2001-01-11

arxiv.org/abs/cs/0101006v2

Computer Science

Computational Geometry

16 pages, 7 figures. Revised to include connection to brain flat-mapping

Scientific paper

We give linear-time quasiconvex programming algorithms for finding a Moebius transformation of a set of spheres in a unit ball or on the surface of a unit sphere that maximizes the minimum size of a transformed sphere. We can also use similar methods to maximize the minimum distance among a set of pairs of input points. We apply these results to vertex separation and symmetry display in spherical graph drawing, viewpoint selection in hyperbolic browsing, element size control in conformal structured mesh generation, and brain flat mapping.

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