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» Formalizing complex plane geometry
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GIS
2010
ACM
13 years 6 months ago
Tolerance geometry: Euclid's first postulate for points and lines with extension
Object representation and reasoning in vector based geographic information systems (GIS) is based on Euclidean geometry. Euclidean geometry is built upon Euclid's first postu...
Gwen Wilke, Andrew U. Frank
ICCV
2005
IEEE
14 years 10 months ago
3D Shape Recognition and Reconstruction Based on Line Element Geometry
This paper presents a new method for the recognition and reconstruction of surfaces from 3D data. Line element geometry, which generalizes both line geometry and the Laguerre geom...
Michael Hofer, Boris Odehnal, Helmut Pottmann, Tib...
ICCTA
2007
IEEE
14 years 2 months ago
Covering a Set of Points in a Plane Using Two Parallel Rectangles
We consider the problem of finding two parallel rectangles, in arbitrary orientation, covering a given set of n points in a plane, such that the area of the larger rectangle is m...
Chandan Saha, Sandip Das
COMPGEOM
2010
ACM
14 years 1 months ago
A kinetic triangulation scheme for moving points in the plane
We present a simple randomized scheme for triangulating a set P of n points in the plane, and construct a kinetic data structure which maintains the triangulation as the points of...
Haim Kaplan, Natan Rubin, Micha Sharir
COMPGEOM
2010
ACM
14 years 1 months ago
Incidences in three dimensions and distinct distances in the plane
d Abstract] György Elekes Eötvös University Micha Sharir Tel Aviv University and New York University We first describe a reduction from the problem of lower-bounding the numbe...
György Elekes, Micha Sharir