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Communications in Statistics - Theory and Methods Volume 30, 2001 - Issue 8-9
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Original Articles

NEW LARGE SAMPLE AND BOOTSTRAP METHODS ON SHAPE SPACES IN HIGH LEVEL ANALYSIS OF NATURAL IMAGES

Vic Patrangenaru Department of Mathematics and Statistics, Georgia State University, Atlanta, GA, 30303, U.S.A.
Pages 1675-1693 | Published online: 20 Aug 2006

Citations (13)

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Read on this site (1)

Mingfei Qiu, Robert Paige & Vic Patrangenaru. (2019) A nonparametric approach to 3D shape analysis from digital camera images – II. Journal of Applied Statistics 46:15, pages 2677-2699.
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Articles from other publishers (12)

Victor Patrangenaru, Robert Paige, K. David Yao, Mingfei Qiu & David Lester. (2016) Projective shape analysis of contours and finite 3D configurations from digital camera images. Statistical Papers 57:4, pages 1017-1040.
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Victor Patrangenaru & Leif Ellingson. 2015. Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis. Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis 481 496 .
Vic Patrangenaru, Mingfei Qiu & Marius Buibas. (2013) Two Sample Tests for Mean 3D Projective Shapes from Digital Camera Images. Methodology and Computing in Applied Probability 16:2, pages 485-506.
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Rabi Bhattacharya & Vic Patrangenaru. (2014) Statistics on manifolds and landmarks based image analysis: A nonparametric theory with applications. Journal of Statistical Planning and Inference 145, pages 1-22.
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Rabi Bhattacharya & Vic Patrangenaru. (2013) Withdrawn: Statistics on manifolds andlandmarks based image analysis: A nonparametric theory with applications. Journal of Statistical Planning and Inference.
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Daniel Osborne, Vic Patrangenaru, Leif Ellingson, David Groisser & Armin Schwartzman. (2013) Nonparametric two-sample tests on homogeneous Riemannian manifolds, Cholesky decompositions and Diffusion Tensor Image analysis. Journal of Multivariate Analysis 119, pages 163-175.
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R. N. Bhattacharya, L. Ellingson, X. Liu, V. Patrangenaru & M. Crane. (2012) Extrinsic analysis on manifolds is computationally faster than intrinsic analysis with applications to quality control by machine vision. Applied Stochastic Models in Business and Industry 28:3, pages 222-235.
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M. Crane & V. Patrangenaru. (2011) Random change on a Lie group and mean glaucomatous projective shape change detection from stereo pair images. Journal of Multivariate Analysis 102:2, pages 225-237.
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S. Huckemann, T. Hotz & A. Munk. (2010) Intrinsic MANOVA for Riemannian Manifolds with an Application to Kendall's Space of Planar Shapes. IEEE Transactions on Pattern Analysis and Machine Intelligence 32:4, pages 593-603.
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V. Patrangenaru, X. Liu & S. Sugathadasa. (2010) A nonparametric approach to 3D shape analysis from digital camera images — I. Journal of Multivariate Analysis 101:1, pages 11-31.
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A. Munk, R. Paige, J. Pang, V. Patrangenaru & F. Ruymgaart. (2008) The one- and multi-sample problem for functional data with application to projective shape analysis. Journal of Multivariate Analysis 99:5, pages 815-833.
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Rabi Bhattacharya & Vic Patrangenaru. (2005) Large sample theory of intrinsic and extrinsic sample means on manifolds—II. The Annals of Statistics 33:3.
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