Shay Kels
email: kelsisha@tau.ac.il
I am a Ph.D. student in
applied mathemtics
at
the school of mathematical sciences
at
Tel Aviv university.
My advisor is
Prof. Nira Dyn.
Major academic and professional interests
- Multi-dimensional reconstruction from cross-sections
- Approximation of set-valued functions
- Computer Vision
- Software development and design patterns
Publications
- S. Kels, N. Dyn. Bernstein-type approximation of set-valued functions in the symmetric difference metric.
2012, preprint
- S. Kels, N. Dyn. Subdivision schemes of sets and the approximation of set-valued functions in the symmetric difference metric.
2011, preprint
-
S. Kels, N. Dyn. Reconstruction of 3D objects from 2D cross-sections with the 4-point subdivision scheme
adapted to sets. Computers & Graphics 35(2011)741-746, Elsevier, doi:10.1016/j.cag.2011.03.007
-
S. Kels, N. Dyn, and E. Lipovetsky. Computation of the Metric Average of 2D Sets with Piecewise Linear Boundaries. Algorithms, 3(3):265-275, 2010
-
S. Kels. An Algorithm for the Computation of the Metric Average of Two Simple Polygons and Extensions, M.Sc. thesis. Tel-Aviv University, 2008.
Talks
-
Reconstruction of 3D Objects from Sparse 2D Cross-Sections with Set-Valued Subdivision Methods
New Trends in Applied Geometry, Hurdal, Norway, 2011.
- Interpolatory Subdivision of Sets with Applications to Reconstruction of Objects
from Cross-sections, New Trends in Applied Geometry, Bad Herrenalb, Germany, 2010.
-
Reconstruction of 3D Objects from 2D Cross-sections with the 4-point Subdivision Scheme Adapted to Sets, Israel SIGGRAPH Professional Chapter Meeting, Herzliya, Israel, 2010.
-
Computation of the Metric Average of Two Simple Polygons, CGGC Seminar, Technion, Haifa, 2009
Teaching