Symmetric diffeomorphic image registration with cross-correlation: Evaluating automated labeling of elderly and neurodegenerative brain
- B. Avants, C. Epstein, M. Grossman, J. Gee
- BiologyMedical Image Anal.
- 1 February 2008
Topological data analysis
- C. Epstein, Gunnar E Carlsson, H. Edelsbrunner
- Mathematics
- 1 December 2011
Inverse problems can be defined as the area of mathematics that attempts to reconstruct a physical or mathematical object from derived data. Frequently, this means the evaluation of parameters or…
Introduction to the mathematics of medical imaging
- C. Epstein
- Mathematics
- 2003
Preface to the second edition Preface How to use this nook Notational conventions 1. Measurements and modeling 2. Linear models and linear equations 3. A basic model for tomography 4. Introduction to…
Resolvent of the Laplacian on strictly pseudoconvex domains
- C. Epstein, R. Melrose, G. Mendoza
- Mathematics
- 1 December 1991
In this paper we investigate in detail the kernel of the resolvent of the Laplacian of such 'Bergman' type metrics. Although we only treat the Laplacian acting on functions below, to limit the…
Characteristic numbers of bounded domains
- D. Burns, C. Epstein
- Mathematics
- 1 July 1990
A fundamental problem in several complex variables is to find computable invariants of complex manifolds with strictly pseudoconvex boundaries. The foci of this subject have been: the construction of…
Degenerate Diffusion Operators Arising in Population Biology
- C. Epstein, R. Mazzeo
- Mathematics
- 30 September 2011
A class of partial differential equations that arise as "backwards Kolmogorov operators" in infinite population limits of the Wright-Fisher models in population genetics and in mathematical finance are analyzed, and existence, uniqueness and regularity results for the heat and resolvent equations defined by this class of operators are proved.
How well does the finite Fourier transform approximate the Fourier transform?
- C. Epstein
- Mathematics
- 1 October 2005
We show that the answer to the question in the title is “very well indeed.” In particular, we prove that, throughout the maximum possible range, the finite Fourier coefficients provide a good…
The hyperbolic Gauss map and quasiconformal reflections.
- C. Epstein
- Physics
- 1986
A method of and apparatus for purifying gases, especially industrial waste gases, according to which a solid surface layer adapted to adsorb impurifications is formed on rotatable discs of which…
A global invariant for three dimensional CR-manifolds
- D. Burns, C. Epstein
- Mathematics
- 1 June 1988
In this note we define a global, R-valued invariant of a compact, strictly pseudoconvex 3-dimensional CR-manifold M whose holomorphic tangent bundle is trivial. The invariant arises as the evaluation…
Generalized population models and the nature of genetic drift.
- R. Der, C. Epstein, J. Plotkin
- BiologyTheoretical Population Biology
- 1 September 2011
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