A Shape Preserving and Noise Removing Image Enhancer through Regularization

Abstract

This project concerns the development of an image reconstruction algorithm which removes noise from a corrupted image and recovers patterns and textures. The textures this algorithm detects are edges and smooth, gray scale regions. In previous attempts of this kind, images were recovered with nice edges, but blockiness remained in the smooth regions. Our goal is to recover both types of image composition. We do this by a least squares minimization method and a regularization process. The regularization is the key element that allows us to differentiate the edge and the smooth regions. The computation generated by the algorithm tends to create a large system to solve. We will use an algebraic multigrid solver to minimize the time for solving these large systems.

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Document Details

Document Type
Technical Report
Publication Date
Feb 12, 2001
Accession Number
ADA387207

Entities

People

  • George P. Choung

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Algorithms
  • Differential Equations
  • Equations
  • Errors
  • Geometry
  • Gray Scale
  • Grids
  • Heat Energy
  • Image Reconstruction
  • Image Restoration
  • Images
  • Linear Systems
  • Partial Differential Equations
  • Random Variables
  • Two Dimensional

Fields of Study

  • Computer science

Readers

  • Computer Vision.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Image Processing and Computer Vision.