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Principal geodesic analysis

Known as: Geodesic (disambiguation), PGA 
In geometric data analysis and statistical shape analysis, principal geodesic analysis is a generalization of principal component analysis to a non… 
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Broader (2)

Digital geometryImage processing
Principal component analysisShape analysis (digital geometry)Statistical shape analysis

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2015
Highly Cited
2015
Principal Geodesic Analysis for Probability Measures under the Optimal Transport Metric
Given a family of probability measures in P(X), the space of probability measures on a Hilbert space X, our goal in this paper is… 
2014
2014
Optimization over geodesics for exact principal geodesic analysis
In fields ranging from computer vision to signal processing and statistics, increasing computational power allows a move from… 
Highly Cited
2013
Highly Cited
2013
Probabilistic Principal Geodesic Analysis
Principal geodesic analysis (PGA) is a generalization of principal component analysis (PCA) for dimensionality reduction of data… 
2013
2013
Action recognition based on principal geodesic analysis
In this paper, we consider the action recognition problem based on geometrical structure. Our method uses a low dimensional… 
Highly Cited
2008
Highly Cited
2008
Robust statistics on Riemannian manifolds via the geometric median
The geometric median is a classic robust estimator of centrality for data in Euclidean spaces. In this paper we formulate the… 
Highly Cited
2007
Highly Cited
2007
Facial Shape-from-shading and Recognition Using Principal Geodesic Analysis and Robust Statistics
Abstract The aim in this paper is to use principal geodesic analysis to model the statistical variations for sets of facial… 
2007
2007
Weighted Principal Geodesic Analysis for Facial Gender Classification
In this paper, we describe a weighted principal geodesic analysis (WPGA) method to extract features for gender classification… 
Highly Cited
2004
Highly Cited
2004
Principal Geodesic Analysis on Symmetric Spaces: Statistics of Diffusion Tensors
Diffusion tensor magnetic resonance imaging (DT-MRI) is emerging as an important tool in medical image analysis of the brain… 
2004
2004
Prostate Shape Modeling Based on Principal Geodesic Analysis Bootstrapping
The use of statistical shape models in medical image analysis is growing due to the ability to incorporate prior organ shape… 
Highly Cited
2003
Highly Cited
2003
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… 
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