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Elastic 3D shape analysis using square-root normal field representation (2017)
Presentation / Conference Contribution
Laga, H., Jermyn, I. H., Kurtek, S., & Srivastava, A. (2017, December). Elastic 3D shape analysis using square-root normal field representation. Presented at 56th IEEE Conference on Decision and Control., Melbourne, Australia

Shape is an important physical property of natural and man-made 3D objects that characterizes their external appearances. Understanding differences between shapes, and modeling the variability within and across shape classes, hereinafter referred to... Read More about Elastic 3D shape analysis using square-root normal field representation.

Numerical Inversion of SRNF Maps for Elastic Shape Analysis of Genus-Zero Surfaces (2017)
Journal Article
Laga, H., Xie, Q., Jermyn, I. H., & Srivastava, A. (2017). Numerical Inversion of SRNF Maps for Elastic Shape Analysis of Genus-Zero Surfaces. IEEE Transactions on Pattern Analysis and Machine Intelligence, 39(12), 2451-2464. https://doi.org/10.1109/tpami.2016.2647596

Recent developments in elastic shape analysis (ESA) are motivated by the fact that it provides a comprehensive framework for simultaneous registration, deformation, and comparison of shapes. These methods achieve computational efficiency using certai... Read More about Numerical Inversion of SRNF Maps for Elastic Shape Analysis of Genus-Zero Surfaces.

Accurate Morphology Preserving Segmentation of Overlapping Cells based on Active Contours (2016)
Journal Article
Molnar, C., Jermyn, I. H., Kato, Z., Rahkama, V., Östling, P., Mikkonen, P., …Horvath, P. (2016). Accurate Morphology Preserving Segmentation of Overlapping Cells based on Active Contours. Scientific Reports, 6, Article 32412. https://doi.org/10.1038/srep32412

The identification of fluorescently stained cell nuclei is the basis of cell detection, segmentation, and feature extraction in high content microscopy experiments. The nuclear morphology of single cells is also one of the essential indicators of phe... Read More about Accurate Morphology Preserving Segmentation of Overlapping Cells based on Active Contours.

Elastic shape analysis of surfaces and images (2016)
Book Chapter
Kurtek, S., Jermyn, I., Xie, Q., & Klassen, E. (2016). Elastic shape analysis of surfaces and images. In P. K. Turaga, & A. Srivastava (Eds.), Riemannian computing and statistical inferences in computer vision (257-277). Springer Verlag. https://doi.org/10.1007/978-3-319-22957-7_12

We describe two Riemannian frameworks for statistical shape analysis of parameterized surfaces. These methods provide tools for registration, comparison, deformation, averaging, statistical modeling, and random sampling of surface shapes. A crucial p... Read More about Elastic shape analysis of surfaces and images.

Numerical inversion of SRNFs for efficient elastic shape analysis of star-shaped objects (2014)
Presentation / Conference Contribution
Xie, Q., Jermyn, I., Kurtek, S., & Srivastava, A. (2014, September). Numerical inversion of SRNFs for efficient elastic shape analysis of star-shaped objects. Presented at Proc. European Conference on Computer Vision (ECCV), Zurich

The elastic shape analysis of surfaces has proven useful in several application areas, including medical image analysis, vision, and graphics. This approach is based on defining new mathematical representations of parameterized surfaces, including th... Read More about Numerical inversion of SRNFs for efficient elastic shape analysis of star-shaped objects.

Shape as an emergent property (2013)
Book Chapter
Jermyn, I. H. (2013). Shape as an emergent property. In S. Dickinson, & Z. Pizlo (Eds.), Shape perception in human and computer vision : an interdisciplinary perspective (187-199). Springer Verlag. https://doi.org/10.1007/978-1-4471-5195-1_13

Shape is a ubiquitous property of our world. Inferences about it require ‘shape models’: probability distributions on shapes. The crucial property of any such shape model is the existence of long-range dependencies between boundary points. We look at... Read More about Shape as an emergent property.

A multi-layer phase field model for extracting multiple near-circular objects (2012)
Presentation / Conference Contribution
Molnar, C., Kato, Z., & Jermyn, I. (2012, November). A multi-layer phase field model for extracting multiple near-circular objects. Presented at 21st International Conference on Pattern Recognition (ICPR2012)., Tsukuba, Japan

This paper proposes a functional that assigns low `energy' to sets of subsets of the image domain consisting of a number of possibly overlapping near-circular regions of approximately a given radius: a `gas of circles'. The model can be used as a pri... Read More about A multi-layer phase field model for extracting multiple near-circular objects.

Elastic shape matching of parameterized surfaces using square root normal fields (2012)
Presentation / Conference Contribution
Jermyn, I. H., Kurtek, S., Klassen, E., & Srivastava, A. (2012, October). Elastic shape matching of parameterized surfaces using square root normal fields. Presented at 12th European Conference on Computer Vision (ECCV), Florence, Italy

In this paper we define a new methodology for shape analysis of parameterized surfaces, where the main issues are: (1) choice of metric for shape comparisons and (2) invariance to reparameterization. We begin by defining a general elastic metric on t... Read More about Elastic shape matching of parameterized surfaces using square root normal fields.

A phase field method for tomographic reconstruction from limited data (2012)
Presentation / Conference Contribution
Hewett, R. J., Jermyn, I., Heath, M. T., & Kamalabadi, F. (2012, September). A phase field method for tomographic reconstruction from limited data. Presented at British Machine Vision Conference 2012 (BMVC), Guildford, Surrey

Classical tomographic reconstruction methods fail for problems in which there is extreme temporal and spatial sparsity in the measured data. Reconstruction of coronal mass ejections (CMEs), a space weather phenomenon with potential negative effects o... Read More about A phase field method for tomographic reconstruction from limited data.