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» Implicit Convex Polygons
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COMPGEOM
2011
ACM
12 years 11 months ago
Integer representations of convex polygon intersection graphs
Abstract. We study the grid size that is needed to represent intersection graphs of convex polygons. Here the polygons are similar to a base polygon P whose corners have rational c...
Tobias Müller, Erik Jan van Leeuwen, Jan van ...
COMPGEOM
2004
ACM
14 years 1 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
1999
ACM
13 years 12 months ago
H-Walk: Hierarchical Distance Computation for Moving Convex Bodies
This paper presents the Hierarchical Walk, or H-Walk algorithm, which maintains the distance between two moving convex bodies by exploiting both motion coherence and hierarchical ...
Leonidas J. Guibas, David Hsu, Li Zhang
SIGGRAPH
1997
ACM
13 years 11 months ago
Guaranteeing the topology of an implicit surface polygonization for interactive modeling
Morse theory shows how the topology of an implicit surface is affected by its function’s critical points, whereas catastrophe theory shows how these critical points behave as th...
Barton T. Stander, John C. Hart
SIGGRAPH
1995
ACM
13 years 11 months ago
Polygonization of non-manifold implicit surfaces
A method is presented to broaden implicit surface modeling. The implicit surfaces usually employed in computer graphics are two dimensional manifolds because they are defined by r...
Jules Bloomenthal, Keith Ferguson