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» Formalizing complex plane geometry
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SODA
2008
ACM
118views Algorithms» more  SODA 2008»
13 years 7 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»
13 years 6 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
13 years 11 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»
13 years 11 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
13 years 10 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