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» Formalizing complex plane geometry
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SODA
2008
ACM
118views Algorithms» more  SODA 2008»
14 years 11 months ago
Geodesic Delaunay triangulation and witness complex in the plane
We introduce a new feature size for bounded domains in the plane endowed with an intrinsic metric. Given a point x in a domain X, the homotopy feature size of X at x measures half...
Jie Gao, Leonidas J. Guibas, Steve Oudot, Yue Wang
CORR
2007
Springer
182views Education» more  CORR 2007»
14 years 9 months ago
Triangulating the Real Projective Plane
We consider the problem of computing a triangulation of the real projective plane P2 , given a finite point set P = {p1, p2, . . . , pn} as input. We prove that a triangulation of...
Mridul Aanjaneya, Monique Teillaud
COMPGEOM
2010
ACM
15 years 2 months ago
Better bounds on the union complexity of locally fat objects
We prove that the union complexity of a set of n constantcomplexity locally fat objects (which can be curved and/or non-convex) in the plane is O(λt+2(n) log n), where t is the m...
Mark de Berg
3DPVT
2002
IEEE
146views Visualization» more  3DPVT 2002»
15 years 2 months ago
Geometry of Contour-based Correspondence for Stereo
We consider the problem of computing stereo correspondence for scenes dense in physical structure, such as a bouquet of flowers. Boundaries are then space curves, formally govern...
Steven W. Zucker, Gang Li
DIAGRAMS
2000
Springer
15 years 1 months ago
Case Analysis in Euclidean Geometry: An Overview
This paper gives a brief overview of FG, a formal system for doing Euclidean geometry whose basic syntactic elements are geometric diagrams, and which has been implimentented as th...
Nathaniel Miller