Search Publications by: Alfred S Carasso (Fed)

Displaying 26 - 50 of 61

Reconstructing the Past From Imprecise Knowledge of the Present: Some Examples of Non Uniqueness in Solving Parabolic Equations Backward in Time

April 13, 2011

Author(s)

Alfred S. Carasso

Bochner Subordination, Logarithmic Diffusion Equations, and Blind Deconvolution of Hubble Space Telescope Imagery and Other Scientific Data

November 30, 2010

Author(s)

Alfred S. Carasso

Generalized Linnik processes and associated logarithmic diffusion equations can be constructed by appropriate Bochner randomization of the time variable in Brownian motion and the related heat conduction equation. Remarkably, generalized Linnik

FRACTIONAL DIFFUSION, LOW EXPONENT LEVY STABLE LAWS, AND SLOW MOTION DENOISING OF HELIUM ION MICROSCOPE NANOSCALE IMAGERY

September 30, 2010

Author(s)

Alfred S. Carasso, Andras Vladar

Bochner Subordination, Logarithmic Diffusion Equations, and Blind Deconvolution of Hubble Space Telescope Imagery and Other Scientific Data

September 23, 2009

Author(s)

Alfred S. Carasso

False Characteristic Functions and Other Pathologies in Variational Blind Deconvolution. A Method of Recovery.

September 9, 2009

Author(s)

Alfred S. Carasso

Given a blurred image g(x, y), variational blind deconvolution seeks to reconstruct both the unknown blur k(x, y), and the unknown sharp image f(x, y), by minimizing an appropriate cost functional. This paper restricts attention to a rich and significant

Calibrating Image Roughness by Estimating Lipschitz Exponents, with Applications to Image Restoration

March 3, 2008

Author(s)

Alfred S. Carasso

Most commonly occurring images f(x,y) are not smoothly differentiable functions of the variables x and y. Rather, these images display edges, localized sharp features, and other significant fine scale details or texture. Correct characterization and

Calibrating Image Roughness by Estimating Lipschitz Exponents, with Applications to Image Restoration

August 1, 2007

Author(s)

Alfred S. Carasso, Andras Vladar

APEX Blind Deconvolution of Color Hubble Space Telescope Imagery and Other Astronomical Data

October 1, 2006

Author(s)

Alfred S. Carasso

The APEX method is a non-iterative, single frame, direct blind deconvolution technique that can sharpen certain kinds of high resolution images in quasi real-time. The method is predicated on a restricted class of blurs, in the form of 2D heavy-tailed bell

APEX Blind Deconvolution of Real Hubble Space Telescope Imagery and Other Astronomical Data

October 1, 2006

Author(s)

Alfred S. Carasso

APEX Blind Deconvolution of Real Hubble Space Telescope Imagery and Other Astronomical Data

December 2, 2005

Author(s)

Alfred S. Carasso

Singular Integrals, Image Smoothness, and the Recovery of Texture in Image Deblurring

June 1, 2003

Author(s)

Alfred S. Carasso

Total variation (TV) image deblurring is a PDE-based technique that preserves edges, but often eliminates vital small-scale information or texture. This phenomenon reflects the fact that most natural images are not of bounded variation. The present paper

The Apex Method in Image Sharpening and the Use of Low Exponent Levy Stable Laws

January 1, 2003

Author(s)

Alfred S. Carasso

The APEX method is an FFT-based direct blind deconvolution technique that can process complex high-resolution imagery in a few minutes of cpu time on current desktop platforms. The method is predicated on a restricted class of shift-invariant blurs that

APEX Method and Real-Time Blind Deconvolution of Scanning Electron Microscope Imagery

October 1, 2002

Author(s)

Alfred S. Carasso, David S. Bright, Andras Vladar

Loss of resolution due to image blurring is a major concern in electron microscopy. The point spread function describing that blur is generally unknown. Wer discuss the use of a recently developed fast Fourier transform (FFT)-based direct (noniterative)