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» Computational geometry: a retrospective
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JCDCG
2004
Springer
14 years 3 months ago
The Geometry of Musical Rhythm
Abstract. Musical rhythm is considered from the point of view of geometry. The interaction between the two fields yields new insights into rhythm and music theory, as well as new ...
Godfried T. Toussaint
AFPAC
2000
Springer
267views Mathematics» more  AFPAC 2000»
14 years 2 months ago
The Lie Model for Euclidean Geometry
Abstract. In this paper we investigate the Lie model of Lie sphere geometry using Clifford algebra. We employ it to Euclidean geometric problems involving oriented contact to simpl...
Hongbo Li
IJCAI
1989
13 years 11 months ago
Visual Reasoning in Geometry Theorem Proving
We study the role of visual reasoning as a computationally feasible heuristic tool in geometry problem solving. We use an algebraic notation to represent geometric objects and to ...
Michelle Y. Kim
CORR
2007
Springer
76views Education» more  CORR 2007»
13 years 10 months ago
Some problems in asymptotic convex geometry and random matrices motivated by numerical algorithms
Abstract. The simplex method in Linear Programming motivates several problems of asymptotic convex geometry. We discuss some conjectures and known results in two related directions...
Roman Vershynin
CVPR
2003
IEEE
15 years 1 days ago
Methods and Geometry for Plane-Based Self-Calibration
Abstract. We consider the problem of camera selfcalibration, from images of a planar object with unknown Euclidean structure. The general case of possibly varying focal length is a...
Pierre Gurdjos, Peter Sturm