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ADG
2006
Springer
220views Mathematics» more  ADG 2006»
14 years 1 months ago
Cylinders Through Five Points: Complex and Real Enumerative Geometry
It is known that five points in 3 generically determine a finite number of cylinders containing those points. We discuss ways in which it can be shown that the generic (complex) nu...
Daniel Lichtblau
GIS
2010
ACM
13 years 5 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
2003
IEEE
14 years 9 months ago
Circular Motion Geometry by Minimal 2 Points in 4 Images
This paper describes a new and simple method of recovering the geometry of uncalibrated circular motion or single axis motion using a minimal data set of 2 points in 4 images. Thi...
Guang Jiang, Long Quan, Hung-Tat Tsui
WSCG
2003
154views more  WSCG 2003»
13 years 9 months ago
Direction Fields over Point-Sampled Geometry
We describe techniques to establish local frames over point-sampled manifold surfaces. The tangential alignment of local frames is determined using a wave front algorithm starting...
Marc Alexa, Tobias Klug, Carsten Stoll
CVPR
2000
IEEE
14 years 9 months ago
A Formal Classification of 3D Medial Axis Points and Their Local Geometry
This paper proposes a novel hypergraph skeletal representation for 3D shape based on a formal derivation of the generic structure of its medial axis. By classifying each skeletal ...
Peter J. Giblin, Benjamin B. Kimia