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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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Related topics
Related topics
5 relations
Broader (2)
Digital geometry
Image processing
Principal component analysis
Shape 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
Vivien Seguy
,
Marco Cuturi
NIPS
2015
Corpus ID: 2306386
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…
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2014
2014
Optimization over geodesics for exact principal geodesic analysis
Stefan Sommer
,
F. Lauze
,
M. Nielsen
Adv. Comput. Math.
2014
Corpus ID: 8610306
In fields ranging from computer vision to signal processing and statistics, increasing computational power allows a move from…
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Highly Cited
2013
Highly Cited
2013
Probabilistic Principal Geodesic Analysis
Miaomiao Zhang
,
P. Fletcher
NIPS
2013
Corpus ID: 8043173
Principal geodesic analysis (PGA) is a generalization of principal component analysis (PCA) for dimensionality reduction of data…
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2013
2013
Action recognition based on principal geodesic analysis
Xiping Fu
,
B. McCane
,
Michael Albert
,
S. Mills
28th International Conference on Image and Vision…
2013
Corpus ID: 14149614
In this paper, we consider the action recognition problem based on geometrical structure. Our method uses a low dimensional…
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Highly Cited
2008
Highly Cited
2008
Robust statistics on Riemannian manifolds via the geometric median
P. Fletcher
,
Suresh Venkatasubramanian
,
S. Joshi
IEEE Conference on Computer Vision and Pattern…
2008
Corpus ID: 6924502
The geometric median is a classic robust estimator of centrality for data in Euclidean spaces. In this paper we formulate the…
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Highly Cited
2007
Highly Cited
2007
Facial Shape-from-shading and Recognition Using Principal Geodesic Analysis and Robust Statistics
W. Smith
,
E. Hancock
International Journal of Computer Vision
2007
Corpus ID: 35004398
Abstract The aim in this paper is to use principal geodesic analysis to model the statistical variations for sets of facial…
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2007
2007
Weighted Principal Geodesic Analysis for Facial Gender Classification
Jing Wu
,
W. Smith
,
E. Hancock
CIARP
2007
Corpus ID: 12771601
In this paper, we describe a weighted principal geodesic analysis (WPGA) method to extract features for gender classification…
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Highly Cited
2004
Highly Cited
2004
Principal Geodesic Analysis on Symmetric Spaces: Statistics of Diffusion Tensors
P. Fletcher
,
S. Joshi
ECCV Workshops CVAMIA and MMBIA
2004
Corpus ID: 6164529
Diffusion tensor magnetic resonance imaging (DT-MRI) is emerging as an important tool in medical image analysis of the brain…
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2004
2004
Prostate Shape Modeling Based on Principal Geodesic Analysis Bootstrapping
Erik Dam
,
P. Fletcher
,
S. Pizer
,
G. Tracton
,
J. Rosenman
MICCAI
2004
Corpus ID: 10822686
The use of statistical shape models in medical image analysis is growing due to the ability to incorporate prior organ shape…
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Highly Cited
2003
Highly Cited
2003
Statistics of shape via principal geodesic analysis on Lie groups
P. Fletcher
,
Conglin Lu
,
S. Joshi
IEEE Computer Society Conference on Computer…
2003
Corpus ID: 16588627
Principal component analysis has proven to be useful for understanding geometric variability in populations of parameterized…
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