Accession Number:

ADA460128

Title:

Nonlinear Image Denoising Methodologies

Descriptive Note:

Corporate Author:

NORTH CAROLINA STATE UNIV AT RALEIGH DEPT OF ELECTRICAL AND COMPUTER ENGINEERING

Personal Author(s):

Report Date:

2002-05-01

Pagination or Media Count:

131.0

Abstract:

In this thesis, we propose a theoretical as well as practical framework to combine geometric prior information to a statisticalprobabilistic methodology in the investigation of a denoising problem in its generic form together with its various applications in signalimage analysis. We are able in the process, to investigate, understand and mitigate existing limitations of so-called nonlinear diffusion techniques such as the Perona-Malik equation from a probabilistic view point, and propose a new nonlinear denoising method that is based on a random walk whose transition probabilities are selected by the information of a two-sided gradient. This results in a piecewise constant filtered image and lifts the long-standing problem of an unknown evolution stopping time.

Subject Categories:

  • Theoretical Mathematics
  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE