Numerical grid generation: foundations and applications
Numerical grid generation: foundations and applications
Representations of planar graphs
SIAM Journal on Discrete Mathematics
A polynomial time circle packing algorithm
Discrete Mathematics
Coin graphs, polyhedra, and conformal mapping
Proceedings of the 2nd Slovenian conference on Algebraic and topological methods in graph theory
Visualizing the structure of the World Wide Web in 3D hyperbolic space
VRML '95 Proceedings of the first symposium on Virtual reality modeling language
A focus+context technique based on hyperbolic geometry for visualizing large hierarchies
CHI '95 Proceedings of the SIGCHI Conference on Human Factors in Computing Systems
Exact primitives for smallest enclosing ellipes
Information Processing Letters
Numerical Conformal Mapping Using Cross-Ratios and Delaunay Triangulation
SIAM Journal on Scientific Computing
Optimal point placement for mesh smoothing
Journal of Algorithms
Exploring Large Graphs in 3D Hyperbolic Space
IEEE Computer Graphics and Applications
On the Complexity of Recognizing Intersection and Touching Graphs of Disks
GD '95 Proceedings of the Symposium on Graph Drawing
Generalized Fisheye Views of Graphs
GD '95 Proceedings of the Symposium on Graph Drawing
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Computation of conformal maps by modified schwarz-christoffel transformations
Computation of conformal maps by modified schwarz-christoffel transformations
Planar lombardi drawings for subcubic graphs
GD'12 Proceedings of the 20th international conference on Graph Drawing
Hyperbolic delaunay complexes and voronoi diagrams made practical
Proceedings of the twenty-ninth annual symposium on Computational geometry
The graphs of planar soap bubbles
Proceedings of the twenty-ninth annual symposium on Computational geometry
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We give linear-time quasiconvex programming algorithms for finding a Möbius 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.