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» Computational geometry: a retrospective
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COMPGEOM
2005
ACM
15 years 8 months ago
Finding the best shortcut in a geometric network
Given a Euclidean graph G in Rd with n vertices and m edges we consider the problem of adding a shortcut such that the stretch factor of the resulting graph is minimized. Currentl...
Mohammad Farshi, Panos Giannopoulos, Joachim Gudmu...
COMPGEOM
2008
ACM
15 years 8 months ago
Arrangements of geodesic arcs on the sphere
This movie illustrates exact construction and maintenance of arrangements induced by arcs of great circles embedded on the sphere, also known as geodesic arcs, and exact computati...
Efi Fogel, Ophir Setter, Dan Halperin
COMPGEOM
2008
ACM
15 years 8 months ago
Reeb spaces of piecewise linear mappings
Generalizing the concept of a Reeb graph, the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of ...
Herbert Edelsbrunner, John Harer, Amit K. Patel
COMPGEOM
2008
ACM
15 years 8 months ago
Self-improving algorithms for delaunay triangulations
We study the problem of two-dimensional Delaunay triangulation in the self-improving algorithms model [1]. We assume that the n points of the input each come from an independent, ...
Kenneth L. Clarkson, C. Seshadhri
DGCI
2008
Springer
15 years 8 months ago
Segmenting Simplified Surface Skeletons
A novel method for segmenting simplified skeletons of 3D shapes is presented. The so-called simplified Y-network is computed, defining boundaries between 2D sheets of the simplifie...
Dennie Reniers, Alexandru Telea