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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
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
CEC
2005
IEEE
14 years 1 months ago
Sensorimotor experience and its metrics: informational geometry and the temporal horizon
Abstract- We introduce metrics on sensorimotor experience at various temporal scales based on informationtheory. Sensorimotor variables through which the experience of an agent fl...
Chrystopher L. Nehaniv
ETVC
2008
13 years 9 months ago
Statistical Computing on Manifolds: From Riemannian Geometry to Computational Anatomy
Computational anatomy is an emerging discipline that aims at analyzing and modeling the individual anatomy of organs and their biological variability across a population. The goal ...
Xavier Pennec
DGCI
2009
Springer
13 years 11 months ago
Christoffel and Fibonacci Tiles
Among the polyominoes that tile the plane by translation, the so-called squares have been conjectured to tile the plane in at most two distinct ways (these are called double square...
Alexandre Blondin Massé, Srecko Brlek, Aria...