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MINERVA GROUP @ Georgia Tech

Explore the groundbreaking research topics at Minerva Group, focusing on PDEs, variational methods, shape analysis, and more. Discover how the team, led by Professor Allen Tannenbaum, is advancing medical imaging techniques.

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MINERVA GROUP @ Georgia Tech

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  1. MINERVA GROUP @ Georgia Tech • People involved with NAMIC • Professor Allen Tannenbaum • Students: • Ramsey Al-Hakim • Jimi Malcolm • John Melonakos • Delphine Nain • Eric Pichon • Yogesh Rathi http://www.bme.gatech.edu/groups/bil/

  2. Research Topics in our Group • Topics relevant to NAMIC: • PDE’s for image processing • Variational and Statistical methods for Segmentation and Registration • Shape analysis • Stochastic Curve/Surface Evolution

  3. Year 1: Segmentation • Statistical Region Growing (Eric Pichon, in Slicer “FastMarching” Module) • Unidirectional evolution allows for fast implementation (“Fast Marching”) • Principled general purpose approach. Use Parzen windows to estimate probability density function. (Using non-parametric statistics means no assumption on data) Real MRI, comparison with manual segmentations (Surgical Planning Lab) Eric Pichon, Allen Tannenbaum, and Ron Kikinis. A statistically based flow for image segmentation. Medical Image Analysis, 8(3):267-274, September 2004

  4. Year 1: Image Smoothing • Image Smooth (Yogesh Rathi, in Slicer) • 2D and 3D smoothing of images performed using the geometric heat equation, where level lines of the image are smoothed according to their curvature (kappa). • Kappa raised to the 1/3 performs smoothing for each of the slices, 'slice-by-slice'. • Kappa raised to the 1/4 performs smoothing in the z-direction as well, hence it is more accurate.

  5. Years 1&2 • Shape Analysis (Delphine Nain) • Statistical Segmentation & Registration (John Melonakos, Ramsey Al-Hakim, Jimi Malcolm)

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