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COMPGEOM
2004
ACM
15 years 3 months ago
An empirical comparison of techniques for updating Delaunay triangulations
The computation of Delaunay triangulations from static point sets has been extensively studied in computational geometry. When the points move with known trajectories, kinetic dat...
Leonidas J. Guibas, Daniel Russel
COMPGEOM
2004
ACM
15 years 3 months ago
Approximate convex decomposition of polygons
We propose a strategy to decompose a polygon, containing zero or more holes, into “approximately convex” pieces. For many applications, the approximately convex components of ...
Jyh-Ming Lien, Nancy M. Amato
COMPGEOM
2010
ACM
15 years 2 months ago
Geometric tomography with topological guarantees
We consider the problem of reconstructing a compact 3manifold (with boundary) embedded in R3 from its crosssections with a given set of cutting planes having arbitrary orientation...
Omid Amini, Jean-Daniel Boissonnat, Pooran Memari
COMPGEOM
2009
ACM
15 years 2 months ago
The scale axis picture show
We demonstrate how the scale axis transform can be used to compute a parameterized family of shape skeletons. The skeletons gradually represent only the most important features of...
Joachim Giesen, Balint Miklos, Mark Pauly, Camille...
DGCI
2005
Springer
15 years 3 months ago
Algorithms for the Topological Watershed
The watershed transformation is an efficient tool for segmenting grayscale images. An original approach to the watershed [1,9] consists in modifying the original image by lowering...
Michel Couprie, Laurent Najman, Gilles Bertrand