Kathryn Leonard studies geometric models for computer graphics, computer vision, and data analysis, with an emphasis on explainability.
Prof. Leonard's students have gone on to PhD programs and careers at Google, Amazon, and tech start-ups. With degrees in mathematics and English, she loves connecting computer science to other disciplines. She spends a large portion of her time promoting undergraduate research and representation of womxn and other marginalized groups in the computational sciences.
A high impact practice, undergraduate research is one of the most transformative experiences a student can have—they themselves generate new knowledge in a field. Prof. Leonard has a long history with undergraduate research, most recently culminating in a $1.4 million NSF grant to fund the Center for Undergraduate Research in Mathematics, which she directs. Other activities supporting undergraduate research include:
- PUMP Journal of Undergraduate Research, Editorial Board, 2017 – present.
- Mathematical Association of America Haimo Teaching Award Committee, 2018 – present.
- Scholarship and Practice in Undergraduate Research (SPUR), Math & Computer Science Editor, 2015 – 2018.
- Council on Undergraduate Research, Facilitator, Councilor in Math/CS Division, 2015 – 2018
- T. Kwembe, K. Leonard, A. Pineda, Academic Year Undergraduate Research: The CURM Model, Involve, 7(3):383-394, 2014.
- K. Leonard, Adventures in Undergraduate Research, Notices of the AMS, December 2008.
A healthy scientific community engages people from all walks of life. Prof. Leonard has extensive background in increasing representation in the computational sciences, particularly for minoritized genders, including significant work with the Association for Women in Mathematics (AWM), where, among other roles, she is currently President. She has organized several workshops and conferences to highlight and promote women’s work, and engaged with multiple initiatives to promote diversity including:
- Banff International Research Station Equity, Diversity, and Inclusion Board and Committee Member
- Women in the Science of Data and Mathematics Research Collaboration Conference, ICERM, Providence, RI, July 2019.
- SkelNetOn Challenge and Workshop, Computer Vision and Pattern Recognition Annual Conference, June 2019.
- Women in Computer Vision, Computer Vision and Pattern Recognition Annual Conference, June 2019.
- Shape Modeling Special Session, AWM Research Symposium, Apr 2019.
- Society for Industrial and Applied Mathematics Annual Meeting, Portland, OR, July 2018.
- Women in Shape Modeling 3 Research Collaboration Conference, University of Trier, July 2018.
- Women in the Science of Data and Mathematics Research Collaboration Conference, ICERM, Providence, RI, July 2017.
- Shape Modeling, Theory and Applications Special Session, AWM Research Symposium, UCLA, April 2017.
- Women in Shape Modeling 2 Research Collaboration Conference, Nesin Math Village, Turkey, June 2016.
- AWM Workshop at Joint Mathematics Meetings (JMM): Mathematics of Image Analysis, Baltimore, MD, January 2014.
- SIAM Minisymposium on Geometric Shape Analysis, JMM 2014.
- Women in Shape Modeling Research Collaboration Workshop, Institute for Pure and Applied Mathematics, UCLA, July 2013.
- Mathematical Sciences Research Institute (MSRI)/PREP: The Mathematics of Image Analysis, March 2005.
- MSRI Workshop for Women: Introduction to Image Analysis, January 2005.
- M. Dorff, K. Leonard, K. Hoffman, We Need You to Be a Leader, MAA Focus, September 2020.
- J. Balén, N. Deans, B. Gillespie, K. Leonard, N. Parmar, B. Rasnow and C.Wyels. Developing Cultural Literacy in the STEM Disciplines, Journal of Multiculturalism in Education, September 2012.
(* indicates undergraduate co-author)
Shape understanding: developing models for automatically understanding shapes and their parts in a way that mirrors human understanding, primarily based on the Blum Medial axis.
- T. Blanc-Beyne, G. Morin, K. Leonard, A. Carlier, S. Hahmann, A Salience Measure for 3D Shape Decomposition and Sub-parts Classification, Graphical Models 99:22-30, September 2018.
- E. Chambers, E. Gasparovic, K. Leonard, Medial fragments for segmentation of articulated shapes, Research in Shape Modeling, Springer-Verlag, May 2018.
- G. Bal, J. Diebold, E. W. Chambers, E. Gasparovic, R. Hu, K. Leonard, Skeleton-based recognition of shapes in images via longest path matching, Research in Shape Analysis (K. Leonard and S. Tari, eds.), Springer-Verlag, May 2015. 3
- K. Leonard, G. Morin, S. Hahmann, A. Carlier, A 2D shape structure for decomposition and part similarity, International Conference on Pattern Recognition, p. 3216-3221, Dec 2016.
- A. Carlier, K. Leonard, G. Morin, S. Hahmann, M. Collins, The 2D shape structure dataset: A user annotated open access database, Computers & Graphics, 58C:23-30, Aug. 2016.
Robust skeleton extraction: Developing robust and efficient techniques for extracting skeletal models from shapes that are less sensitive to noise than traditional methods.
- Ilke Demir, Camilla Hahn, Kathryn Leonard, Geraldine Morin, Dana Rahbani, Athina Panotopoulou, Amelie Fondevilla, Elena Balashova, Bastien Durix, Adam Kortylewski, SkelNetOn 2019 Dataset and Challenge on Deep Learning for Geometric Shape Understanding, Proceedings of CVPR Workshops, 2019.
- A. Fondevilla, G. Morin, K. Leonard, Towards Learning Geometric Shape Parts, forthcoming.
- B. Durix, G. Morin, S. Chambon, J.-L. Mari, K. Leonard, One-step compact skeletonization, Eurographics, p.21-24, 2019.
- B. Durix, S. Chambon, K. Leonard, J.-L. Mari, Propagated Skeletons: A robust, detail-preserving approach, International Conference on Discrete Geometry for Computer Imagery, p 343-354, March 2019.
Applications of shape understanding to other fields
- R. Aroutiounian,* K. Leonard, R. Moreno,* R. Teufel,* Geometry-Based Classification for Automated Schizophrenia Diagnosis, Research in Data Science, Springer-Verlag, 2019.
- G.Heo, K. Leonard, X. Wang, Y. Zhou, Interdisciplinary Approaches to Automated Obstructive Sleep Apnea Diagnosis through High-Dimensional Multiple Scaled Data Analysis, Research in Data Science, Springer-Verlag, 2019.
- K. Leonard, R. Barata,* M. Dawson,* D. Lindsay,* Skeletal-based detection of strawberry stems, Proc. Int. Conf. Comp. Sci. Appl., July 2013. Best Paper Award
- K. Leonard, D. DeSantis,* Error correction for fire growth modeling, Proc. Int. Ag. & Env. Inf. and Decision Sup. Sys., July 2013.
Foundational theory for shape modeling and understanding
- E. Chambers, C. Grimm, T. Emerson, K. Leonard, Exploring 2D shape complexity, Research in Shape Modeling, Springer-Verlag, May 2018.
- M. Feiszli, S. Kushnarev, K. Leonard, Metric spaces of shapes and applications: compression, curve matching and low-dimensional representation, Geometry, Imaging, Computing, 1(2):173-221, 2014.
- K. Leonard; Efficient representation in spaces of plane curves. Rend. Linc. Mat. e Appl., 20(1), 2009, 69-93.
- K. Leonard, Efficient shape modeling: ε-entropy, adaptive coding, and Blum’s medial axis versus the boundary curve, Int. J. Comp. Vis., 74, 2007, 183 - 199.
- K. Leonard, An efficiency criterion for 2D shape model selection, IEEE CVPR Proc., 1, 2006, 1289 - 1296.
- J. Haddock, L. Kassab, S. Li, A. Kryshchenko, R. Grotheer, E. Sizikova, C. Wang, T. Merkh, R. W. M. A. Madushani, M. Ahn, D. Needell, K. Leonard, Semi-supervised NMF Models for Topic Modeling in Learning Tasks.
- M. Ahn, N. Eikmeier, J. Haddock, L. Kassab, A. Kryshchenko, K. Leonard, D. Needell, R. W. M. A. Madushani, E. Sizikova, C. Wang, On Large-Scale Dynamic Topic Modeling with Nonnegative CP Tensor Decomposition, accepted.
- K. Leonard, L. Contreras,* D. DeSantis,* On the geometric deformations of functions in L2[D], Involve, 6(3):233-241, 2012.
- L. Cutler, A. Lerios, K. Leonard, G. Sarkis, et.al, Big data techniques applied to media and computer graphics applications, High Performance Transaction Systems, Sept. 2015.
- A. Genctav, K. Leonard, S. Tari, E. Hubert, G. Morin, N. El-Zehiry, E. Chambers (ed.), Research in Shape Modeling (book), Springer-Verlag, May 2018.
- K. Leonard, S. Tari (ed.), Research in Shape Analysis (book), Springer-Verlag, May 2015.