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» On the Reflexivity of Point Sets
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CGF
2010
179views more  CGF 2010»
15 years 6 months ago
Binary Orientation Trees for Volume and Surface Reconstruction from Unoriented Point Clouds
Given a complete unoriented point set, we propose a binary orientation tree (BOT) for volume and surface representation, which roughly splits the space into the interior and exter...
Yi-Ling Chen, Bing-Yu Chen, Shang-Hong Lai, Tomoyu...
DCG
2010
57views more  DCG 2010»
15 years 6 months ago
Iterated Point-Line Configurations Grow Doubly-Exponentially
Begin with a set of four points in the real plane in general position. Add to this collection the intersection of all lines through pairs of these points. Iterate. Ismailescu and ...
Joshua Cooper, Mark Walters
CORR
2011
Springer
138views Education» more  CORR 2011»
14 years 10 months ago
Many collinear k-tuples with no k+1 collinear points
For every k > 3, we give a construction of planar point sets with many collinear k-tuples and no collinear (k + 1)-tuples.
József Solymosi, Milos Stojakovic
CAD
2008
Springer
15 years 6 months ago
Detecting approximate symmetries of discrete point subsets
Detecting approximate symmetries of parts of a model is important when attempting to determine the geometric design intent of approximate boundary-representation (B-rep) solid mod...
Ming Li, Frank C. Langbein, Ralph R. Martin
CGI
2009
IEEE
15 years 10 months ago
Visual analytics of time dependent 2D point clouds
Two dimensional point data can be considered one of the most basic, yet one of the most ubiquitous data types arising in a wide variety of applications. The basic scatter plot app...
Tatiana von Landesberger, Sebastian Bremm, Peyman ...