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COMPGEOM
2006
ACM
14 years 1 months ago
Refolding planar polygons
Abstract This paper describes an algorithm for generating a guaranteed intersectionfree interpolation sequence between any pair of compatible polygons. Our algorithm builds on prio...
Hayley N. Iben, James F. O'Brien, Erik D. Demaine
CORR
2012
Springer
249views Education» more  CORR 2012»
12 years 3 months ago
Computing Cartograms with Optimal Complexity
We show how to compute cartograms with worst-case optimal polygonal complexity. Specifically we study rectilinear duals which are side-contact representations of a planar graph G ...
Md. Jawaherul Alam, Therese C. Biedl, Stefan Felsn...
VISUALIZATION
2002
IEEE
14 years 7 days ago
Compressing Polygon Mesh Geometry with Parallelogram Prediction
In this paper we present a generalization of the geometry coder by Touma and Gotsman [34] to polygon meshes. We let the polygon information dictate where to apply the parallelogra...
Martin Isenburg, Pierre Alliez
CORR
2007
Springer
79views Education» more  CORR 2007»
13 years 7 months ago
Connecting Polygonizations via Stretches and Twangs
We show that the space of polygonizations of a fixed planar point set S of n points is connected by O(n2 ) “moves” between simple polygons. Each move is composed of a sequence...
Mirela Damian, Robin Y. Flatland, Joseph O'Rourke,...
CCCG
2010
13 years 8 months ago
Any monotone boolean function can be realized by interlocked polygons
We show how to construct interlocked collections of simple polygons in the plane that fall apart upon removing certain combinations of pieces. Precisely, interiordisjoint simple p...
Erik D. Demaine, Martin L. Demaine, Ryuhei Uehara