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- A Averbuch, R R Coifman, D L Donoho, M Israeli, J Waldén
- 2001

We define a notion of Radon Transform for data in an n by n grid. It is based on summation along lines of absolute slope less than 1 (as a function either of x or of y), with values at non-Cartesian locations defined using trigonometric interpolation on a zero-padded grid. The definition is geometrically faithful: the lines exhibit no 'wraparound effects'.… (More)

In a wide range of applied problems of 2-D and 3-D imaging a continuous formulation of the problem places great emphasis on obtaining and manipulating the Fourier transform in Polar coordinates. However , the translation of continuum ideas into practical work with data sampled on a Cartesian grid is problematic. In this article we develop a fast high… (More)

- Yosi Keller, Amir Averbuch, Moshe Israeli
- IEEE Transactions on Image Processing
- 2005

One of the major challenges related to image registration is the estimation of large motions without prior knowledge. This work presents a Fourier-based approach that estimates large translations, scalings, and rotations. The algorithm uses the pseudopolar (PP) Fourier transform to achieve substantial improved approximations of the polar and log-polar… (More)

- Avram Sidi, Moshe Israeli
- J. Sci. Comput.
- 1988

High-accuracy numerical quadrature methods for integrals of singular periodic functions are proposed. These methods are based on the appropriate Euter Maclaurin expansions of trapezoidal rule approximations and their extrapolations. They are subsequently used to obtain accurate quadrature methods for the solution of singular and weakly singular Fredholm… (More)

- MOSHE ISRAELI
- 2003

A survey of methods for imposition of radiation boundary conditions in numerical schemes is presented. Combinations of absorbing boundary conditions with damping (in particular, sponge filters) and with wave-speed modification are shown to offer significant improvements over earlier methods.

- Moshe Israeli, Tuvia Ben-Gal, +7 authors Tirza Klein
- Transplantation
- 2010

BACKGROUND
Common immunosuppression strategies after heart transplantation (HTx) are based on accepted target drug levels, disregarding that drug levels do not correlate with the individual patient's pharmacokinetics or with the actual immunosuppressive drug effect on the patient. The Immuknow assay is used for immune monitoring and management of organ… (More)

- Amir Averbuch, Danny Lazar, Moshe Israeli
- IEEE Trans. Image Processing
- 1996

Schemes for image compression of black-and-white images based on the wavelet transform are presented. The multiresolution nature of the discrete wavelet transform is proven as a powerful tool to represent images decomposed along the vertical and horizontal directions using the pyramidal multiresolution scheme. The wavelet transform decomposes the image into… (More)

- Amir Averbuch, Ronald R. Coifman, David L. Donoho, Moshe Israeli, Yoel Shkolnisky
- SIAM J. Scientific Computing
- 2008

Computing the Fourier transform of a function in polar coordinates is an important building block in many scientific disciplines and numerical schemes. In this paper we present the pseudo-polar Fourier transform that samples the Fourier transform on the pseudo-polar grid, also known as the concentric squares grid. The pseudo-polar grid consists of equally… (More)

- Gil Aharoni, Amir Averbuch, Ronald R. Coifman, Moshe Israeli
- Journal of Mathematical Imaging and Vision
- 1993

This paper presents the local cosine transform (LCT) as a new method for the reduction and smoothing of the blocking effect that appears at low bit rates in image coding algorithms based on the discrete cosine transform (DCT). In particular, the blocking effect appears in the JPEG baseline sequential algorithm. Two types of LCT were developed: LCT-IV is… (More)

- Amir Averbuch, Ronald R. Coifman, David L. Donoho, Moshe Israeli, Yoel Shkolnisky, Ilya Sedelnikov
- SIAM J. Scientific Computing
- 2008

The Radon transform is a fundamental tool in many areas. For example , in reconstruction of an image from its projections (CT scanning). Although it is situated in the core of many modern physical computations, the Radon transform lacks a coherent discrete definition for 2D discrete images which is algebraically exact, invertible, and rapidly computable. We… (More)