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» The Lie Model for Euclidean Geometry
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AFPAC
2000
Springer
267views Mathematics» more  AFPAC 2000»
13 years 9 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
IPMI
2003
Springer
14 years 6 months ago
Gaussian Distributions on Lie Groups and Their Application to Statistical Shape Analysis
The Gaussian distribution is the basis for many methods used in the statistical analysis of shape. One such method is principal component analysis, which has proven to be a powerfu...
P. Thomas Fletcher, Sarang C. Joshi, Conglin Lu, S...
CVPR
2003
IEEE
14 years 7 months ago
Statistics of Shape via Principal Geodesic Analysis on Lie Groups
Principal component analysis has proven to be useful for understanding geometric variability in populations of parameterized objects. The statistical framework is well understood ...
P. Thomas Fletcher, Conglin Lu, Sarang C. Joshi
ICASSP
2008
IEEE
13 years 11 months ago
Fine: Information embedding for document classification
The problem of document classification considers categorizing or grouping of various document types. Each document can be represented as a bag of words, which has no straightforw...
Kevin M. Carter, Raviv Raich, Alfred O. Hero
ECCV
2010
Springer
13 years 8 months ago
Ring-Light Photometric Stereo
We propose a novel algorithm for uncalibrated photometric stereo. While most of previous methods rely on various assumptions on scene properties, we exploit constraints in lighting...