.: Interests:

I am interested in developing and analyzing new algorithms, particularly for simulating and studying interfacial motions. Some projects that I've worked on are the design of algorithms for the evolution of polycrystalline materials under annealing, automatic analysis of atomic images (including defect detection and characterization, and grain boundary segmentation), and a fast and accurate scheme for the reinitialization of signed distance functions. Please see my research statement for details.

.: Publications:

  M. Elsey and S. Esedoglu. Threshold dynamics for anistropic surface energies. Submitted.
  M. Elsey. Self-similarity in two-phase curvature flow. Journal of Statistical Physics. 159:4 (2015), pp. 905-914, DOI 10.1007/s10955-015-1203-3.
  M. Elsey and D. Slepcev. Mean-curvature flow of Voronoi diagrams. Journal of Nonlinear Science. 25:1 (2015), pp. 59-85, DOI 10.1007/s00332-014-9221-x.
  M. Elsey and B. Wirth. Redistancing dynamics for vector-valued multilabel segmentation with costly fidelity: grain identification in polycrystal images. Journal of Scientific Computing, 63:1 (2015), pp. 279-306, DOI 10.1007/s10915-014-9892-3.
  M. Elsey and S. Esedoglu. Fast and accurate redistancing via directional optimization. SIAM Journal on Scientific Computing, 36:1 (2014), pp. A219-A231.
  M. Elsey and B. Wirth. Fast automated detection of crystal distortion and crystal defects in polycrystal images. SIAM Multiscale Modeling and Simulation, 12:1 (2014), pp. 1-24.
  M. Elsey and B. Wirth. A simple and efficient scheme for phase field crystal simulation. ESAIM: Mathematical Modelling and Numerical Analysis, 47:5 (2013), pp. 1413-1432.
  M. Elsey, S. Esedoglu, and P. Smereka. Simulations of anisotropic grain growth: Efficient algorithms and misorientation distributions. Acta Materialia, 61 (2013), pp. 2033-2043.
  M. Elsey and B. Wirth. Segmentation of crystal defects via local analysis of crystal distortion. Proceedings of the 8th International Conference on Computer Vision Theory and Applications (VISAPP), (2013), pp. 294-302.
  M. Elsey, S. Esedoglu, and P. Smereka. Large scale simulations and parameter study for a simple model of recrystallization. Philosophical Magazine, 91:11, (2011), pp. 1607-1642.
  M. Elsey, S. Esedoglu, and P. Smereka. Large scale simulation of normal grain growth via diffusion generated motion. Proceedings of the Royal Society A: Mathematical, Physical, and Engineering Sciences, 467 (2011), pp. 381-401.
  M. Elsey, S. Esedoglu, and P. Smereka. Diffusion generated motion for grain growth in two and three dimensions. Journal of Computational Physics, 228 (2009), pp. 8015-8033.
  M. Elsey and S. Esedoglu. Analogue of the total variation denoising model in the context of geometry processing. SIAM Multiscale Modeling and Simulation, 7:4 (2009), pp. 1549-1573.

.: Download:

Download my research statement in pdf format here.

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