I work primarily with models of two-dimensional shape, though recent work with students has explored models of texture. I am interested in applications of shape modeling and theoretical questions about efficiency of shape models.

Research Publications (* indicates student co-author):
  1. L. Cutler, A. Lerios, K. Leonard, G. Sarkis, Big Data Techniques Applied to Media and Computer Graphics Applications, to appear in High Performance Transaction Systems, 2015.
  2. G. Bal, et. al., Skeleton-based recognition of shapes in images via longest path matching, Research in Shape Modeling (K. Leonard and S. Tari, eds.), Springer-Verlag, May 2015.
  3. K. Leonard, S. Tari (eds), Research in Shape Modeling , Springer International Publishing Switzerland, 2015. (book)
  4. 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.
  5. K. Leonard, D. DeSantis*, Error correction for fire growth modeling, Proceedings of the International Workshop on Agricultural and Environmental Information and Decision Support Systems (IAEIDSS 2013), Springer Lecture Notes in Computer Science, 2013.
  6. K. Leonard, R. Strawbridge*, D. Lindsay*, R. Barata*, M. Dawson*, L. Averion*, Minimal geometric representation and strawberry stem detection, Proceedings of the International Conference of Computational Science and Applications, 2013. ( Best Paper award )
  7. L. Contreras*, K. Leonard, D. DeSantis*, On the geometric deformations of functions in L2[D], Involve, 6(3):233-241, 2012.
  8. K. Leonard. Efficient representation in spaces of plane curves. Rend. Linc. Mat. e Appl., 20(1), 2009, 69-93.
  9. K. Leonard, Efficient shape modeling: epsilon-entropy, adaptive coding, and Blum's medial axis versus the boundary curve, Int. J. Comp. Vis., 74, 2007, 183 - 199.
  10. K. Leonard, An efficiency criterion for 2D shape model selection, IEEE CVPR Proc., 1, 2006, 1289 - 1296.

Other Publications:
  1. Tor A. Kwembe, Kathryn Leonard, Angel R. Pineda, Academic year undergraduate research: The CURM model, Involve, 7(3):383-394, 2014.
  2. K. Leonard, Adventures in undergraduate research, Notices of the AMS, December 2008.
  3. K. Leonard, Inside the AMS: My summer at Popular Science Magazine, Notices of the AMS, September 2001.
  4. K. Leonard, Digital Signatures, Popular Science Monthly Magazine, October 2000.