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Applications and Case Studies

Landmark-Constrained Elastic Shape Analysis of Planar Curves

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Pages 521-533 | Received 01 Jan 2016, Published online: 13 Jul 2017

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Justin Strait, Oksana Chkrebtii & Sebastian Kurtek. (2022) Parallel tempering strategies for model-based landmark detection on shapes. Communications in Statistics - Simulation and Computation 51:4, pages 1415-1435.
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Kaushik Jana, Debasis Sengupta, Subrata Kundu, Arindam Chakraborty & Purnima Shaw. (2020) The Statistical Face of a Region Under Monsoon Rainfall in Eastern India. Journal of the American Statistical Association 115:532, pages 1559-1573.
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Karthik Bharath & Sebastian Kurtek. (2020) Distribution on Warp Maps for Alignment of Open and Closed Curves. Journal of the American Statistical Association 115:531, pages 1378-1392.
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Justin Strait, Oksana Chkrebtii & Sebastian Kurtek. (2019) Automatic Detection and Uncertainty Quantification of Landmarks on Elastic Curves. Journal of the American Statistical Association 114:527, pages 1002-1017.
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Articles from other publishers (13)

Stefan Haller & Cornelia Vizman. (2023) Weighted nonlinear flag manifolds as coadjoint orbits. Canadian Journal of Mathematics, pages 1-31.
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Arianna Salili-James, Anne Mackay, Emilio Rodriguez-Alvarez, Diana Rodriguez-Perez, Thomas Mannack, Timothy A. Rawlings, A. Richard Palmer, Jonathan Todd, Terhi E. Riutta, Cate Macinnis-Ng, Zhitong Han, Megan Davies, Zinnia Thorpe, Stephen Marsland & Armand M. Leroi. (2022) Classifying organisms and artefacts by their outline shapes. Journal of The Royal Society Interface 19:195.
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Xiaohan Guo, Sebastian Kurtek & Karthik Bharath. (2022) Variograms for kriging and clustering of spatial functional data with phase variation. Spatial Statistics 51, pages 100687.
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Peng Chen, Xutao Li, Changxing Ding, Jianxing Liu & Ligang Wu. (2022) Discrete curve model for non-elastic shape analysis on shape manifold. Pattern Recognition 130, pages 108760.
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Peng Chen, Xutao Li, Jianxing Liu & Ligang Wu. (2020) Simplifying a shape manifold as linear manifold for shape analysis. Signal, Image and Video Processing 15:5, pages 1003-1010.
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Min Ho Cho, Sebastian Kurtek & Steven N. MacEachern. (2021) Aggregated pairwise classification of elastic planar shapes. The Annals of Applied Statistics 15:2.
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Gerda Claeskens, Emilie Devijver & Irène Gijbels. (2021) Nonlinear mixed effects modeling and warping for functional data using B-splines. Electronic Journal of Statistics 15:2.
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Stefan Haller & Cornelia Vizman. (2020) Nonlinear flag manifolds as coadjoint orbits. Annals of Global Analysis and Geometry 58:4, pages 385-413.
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Karthik Bharath & Sebastian Kurtek. (2020) Analysis of shape data: From landmarks to elastic curves. WIREs Computational Statistics 12:3.
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Min Ho Cho, Amir Asiaee & Sebastian Kurtek. (2019) Elastic Statistical Shape Analysis of Biological Structures with Case Studies: A Tutorial. Bulletin of Mathematical Biology 81:7, pages 2052-2073.
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Justin Strait, Sebastian Kurtek & Steven MacEachern. (2018) Locally-Weighted Elastic Comparison of Planar Shapes. Locally-Weighted Elastic Comparison of Planar Shapes.
Justin Strait & Sebastian Kurtek. 2017. New Advances in Statistics and Data Science. New Advances in Statistics and Data Science 197 216 .
Ian H. Jermyn, Sebastian Kurtek, Hamid Laga & Anuj Srivastava. 2017. Elastic Shape Analysis of Three-Dimensional Objects. Elastic Shape Analysis of Three-Dimensional Objects.

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