Sebastian A. Kurtek

Professor

Department of Statistics

The Ohio State University

Contact Information:

Office: CH 440B

Telephone #: (614) 292-0463

E-mail: kurtek.1@stat.osu.edu

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CBMS Conference on Elastic Functional and Shape Data Analysis (EFSDA) Materials

Applications

Functional and shape data analysis is important in many applications including medicine: disease detection and monitoring using shapes of anatomical structures or biosignals; biology: shape-based species classification; graphics: deformation and summarization of highly-articulated objects; biometrics: shape analysis of the human body or face; etc.

Conference Introduction

Matlab Code:

We request the authors to cite relevant publications if any results based on these programs are included in their papers.
Most of this software is written in Matlab that uses mex files (C/C++ files available as functions in Matlab after compilation using the mex command).

Caution: This software is provided as-is without any technical support from the authors. Please refer to the relevant papers listed with the software for technical details. These programs have been tested on standard datasets and have worked in most situations but there is no guarantee that they will work in all situations. The authors may not be able to answer any question or help in debugging any usage of these programs.

1. Alignment of functional data:

Downloadable Folder (see ReadMe file inside for usage details)

2. Elastic geodesics, means, covariances for planar closed curves:

Downloadable Folder (see ReadMe file inside for usage details)

3. Elastic geodesics, means, covariances for open 3D curves

Downloadable Folder (see ReadMe file inside for usage details)

4. Visualization of different sources of variability in elastic functional data:

Downloadable Folder (see readme file inside for usage details)

Lectures:

Lecture 1 Prof. Anuj Srivastava

Lecture 2 Prof. Anuj Srivastava

Lecture 3 Prof. Anuj Srivastava

Lecture 4 Prof. Eric Klassen

Lecture 5 Prof. Anuj Srivastava

Lecture 6, Part 1 Prof. Anuj Srivastava

Lecture 6, Part 2 Prof. Karthik Bharath

Lecture 7, Part 1 Prof. Anuj Srivastava

Lecture 7, Part 2 Prof. Eric Klassen

Lecture 8 Prof. Laurent Younes

Lecture 9 Prof. Veerabhadran Baladandayuthapani

Lecture 10, Part 1 Prof. Zhengwu Zhang

Lecture 10, Part 2 Prof. Sebastian Kurtek

Link to video lectures

Reading Materials:

Books:

1. A. Srivastava and E.P. Klassen (2016), Functional and Shape Data Analysis, Springer.

2. I.H. Jermyn, S. Kurtek, H. Laga, A. Srivastava (2017), Elastic Shape Analysis of Three-Dimensional Objects, Morgan & Claypool Publishers.

Important Papers:

Elastic functional data analysis:

1. Srivastava et al. (2011), Registration of Functional Data Using Fisher-Rao Metric, arxiv: 1103.3817.v2

2. Marron et al. (2015), Functional Data Analysis of Amplitude and Phase Variation, Statistical Science

3. Lu et al. (2017), Bayesian Registration of Functions Using Gaussian Process Prior, Journal of Computational and Graphical Statistics

Elastic shape analysis of curves:

1. Srivastava et al. (2011), Shape Analysis of Elastic Curves in Euclidean Spaces, IEEE Trans. on Pattern Analysis and Machine Intelligence

2. Kurtek et al. (2012), Statistical Modeling of Curves Using Shapes and Related Features, Journal of the American Statistical Association

3. Lahiri et al. (2015), Precise Matching of PL Curves in R^N in Square Root Velocity Framework, Geometry, Imaging and Computing

Elastic shape analysis of surfaces:

1. Jermyn et al. (2012), Elastic Shape Matching of Parameterized Surfaces Using Square Root Normal Fields, European Conference on Computer Vision

2. Laga et al. (2017), Numerical Inversion of SRNF Maps for Elastic Shape Analysis of Genus Zero Surfaces, IEEE Trans. on Pattern Analysis and Machine Intelligence

Analysis of trajectories on manifolds:

1. Su et al. (2014), Statistical Analysis of Trajectories on Riemannian Manifolds: Bird Migration, Hurricane Tracking and Video Surveillance, Annals of Applied Statistics

2. Zhang et al. (2018), Phase-Amplitude Separation and Modeling of Spherical Trajectories, Journal of Computational and Graphical Statistics

*Multiple other papers can be found on Prof. Srivastava's webpage.

Department of Statistics, 1958 Neil Avenue, 404 Cockins Hall, Columbus, OH 43210-1247
Telephone: Main Office (614) 292-2866, Office Fax (614) 292-2096

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