Emil Cornea

 

Education

Ph.D. in Biostatistics, University of North Carolina at Chapel Hill, 08/2007-08/2014
Title: Advanced Biostatistical Methods for Curved and Censored Biomedical Data

Ph.D. in Mathematics, University of South Carolina, Columbia, SC, 08/1992-07/1997
Title: Multiresolution Analysis of Nonlinear Phenomena Arising in Surface Modeling

MS in Mathematics, University of Bucharest, Bucharest, Romania, 09/1983-06/1984

BS in Mathematics, University of Bucharest, Bucharest, Romania, 09/1979-06/1983

 

Research Interests

Regression Models on Manifolds / Applications in Medical Imaging

Bayesian Semi-parametric Methods for Lie Groups / Applications in Medical Imaging

Diffusion Tensor Imaging – DTI Statistical Analysis in DW-MRI Data

Bayes Joint Modeling with Functional Predictors/ Dependent Dirichlet Process Modeling

Stochastic Language Processing

Non-linear Partial Differential Arising in Surface Modeling, Shape Analysis, Image and Video Processing

 

Publications

Journal Papers

1. H. Bellout, E. Cornea, S. Necasova “Vanishing Viscosity Method for Incompressible Fluids,” Journal of Mathematical Fluid Mechanics, Volume 4, Number 2, pages 145-154 (2002)

2. H. Bellout, E. Cornea, J. Necas “On the Concept of Very Weak
L2 Solutions to the Euler’s Equation,” SIAM Journal on Mathematical Analysis,
Volume 33, Number5, pages 995-1006 (2002)

3. E. Cornea, R. Howard, P-G. Martinsson “Solutions Near Singular Points to
the Eikonal and Related First Order Non-linear Partial Differential Equations in Two Independent Variables,”
Differential and Integral Equations, Volume 14, Number 12, pages 1441-1468 (2001)

4. E. Cornea, M. Cornea, B. Jawerth “Hierarchical Shape Representation and Shape Preserving Approximations,” Wavelet Applications in Signal and Image Processing VI (A. Laine, M. Unser and A. Aldroubi, eds.), Proceedings of SPIE, vol. 3458, pp. 79-91 (1998)

5. E. Cornea, B. Jawerth, W. Zheng “Interactive Surface Modeling,” Approximation Theory VIII, vol. 2: Wavelets and Multilevel Approximation (Charles K. Chui and Larry Schumaker eds.), pp. 39-46 (1995)

 

Conference Presentations

1. E. Cornea “Estimations of Visual Motion Using Wavelets,”
SPIE’s 46-th International Symposium on Optical Science, Engineering, and Instrumentation, Wavelets
Applications in Signal and Image Processing IX, San Diego, CA, July 30 – August 1, 2001

2. E. Cornea, B. Jawerth “Wavelets Based Quasi-Invariant Curve Signatures,”
SPIE’s 45-th International Symposium on Optical Science, Engineering, and Instrumentation,
Wavelets Applications in Signal and Image Processing VIII, San Diego, CA, July 29 – August 5, 2000.

3. H. Bellout, E. Cornea, J. Necas “On the concept of very weak L2 solutions to
the Euler’s equation,” A Special Session on Nonlinear PDE, University of Notre Dame,
Notre Dame, IN, April 7 – 9, 2000 (delivered by H. Bellout).

4. E. Cornea, B. Jawerth “Invariant, Quasi-invariant Signatures and Wavelets,” SPIE’s 44-th International Symposium on Optical Science, Engineering, and Instrumentation, Wavelets Applications in Signal and Image Processing VII, Denver, CO, July 19-23, 1999.

5. E. Cornea, M. Cornea, B. Jawerth “Hierarchical Shape Representation and Shape Preserving Approximations,” SPIE’s 43-rd International Symposium on Optical Science, Engineering, and Instrumentation, Wavelets Applications in Signal and Image Processing VI, San Diego, CA, July 22-23,1998.

6. E. Cornea, B. Jawerth “Nonlinear Operators in Shape from Shading Problem,” The Second World Congress of Nonlinear Analysts, Athens, Greece, July 10-17, 1996.