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Principal geodesic analysis

In geometric data analysis and statistical shape analysis, principal geodesic analysis is a generalization of principal component analysis to a non… (More)
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Topic mentions per year

Topic mentions per year

2003-2016
024620032016

Related topics

Related topics

5 relations

Broader (2)

Digital geometryImage processing
Principal component analysisShape analysisStatistical shape analysis

Related mentions per year

Related mentions per year

1956-2018
1960198020002020
Principal geodesic analysis
Image processing
Principal component analysis
Shape analysis
Statistical shape analysis
Digital geometry

Papers overview

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2014
2014
Optimization over geodesics for exact principal geodesic analysis
The importance of manifolds and Riemannian geometry is spreading to applied fields in which the need to model non-linear… (More)
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2014
2014
Bayesian Principal Geodesic Analysis in Diffeomorphic Image Registration
Computing a concise representation of the anatomical variability found in large sets of images is an important first step in many… (More)
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2013
2013
Probabilistic Principal Geodesic Analysis
Principal geodesic analysis (PGA) is a generalization of principal component analysis (PCA) for dimensionality reduction of data… (More)
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2010
2010
Manifold Valued Statistics, Exact Principal Geodesic Analysis and the Effect of Linear Approximations
Manifolds are widely used to model non-linearity arising in a range of computer vision applications. This paper treats statistics… (More)
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2008
2008
Automatic shape model building based on principal geodesic analysis bootstrapping
We present a novel method for automatic shape model building from a collection of training shapes. The result is a shape model… (More)
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2007
2007
Exact Principal Geodesic Analysis for data on SO(3)
PGA, or Principal Geodesic Analysis, is an extension of the classical PCA (Principal Component Analysis) to the case of data… (More)
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2007
2007
Face Recognition Using Principal Geodesic Analysis and Manifold Learning
This paper describes how face recognition can be effected using 3D shape information extracted from single 2D image views. We… (More)
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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… (More)
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Highly Cited
2004
Highly Cited
2004
Principal geodesic analysis for the study of nonlinear statistics of shape
A primary goal of statistical shape analysis is to describe the variability of a population of geometric objects. A standard… (More)
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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… (More)
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