Partial Differential Equations for Image Processing.

Abstract

This report, prepared for the Rapid Retargeting Accelerated Capabilities Initiative, provides a high-level description of how partial differential variational techniques are applied to image processing. The overall scientific theme is modeling image processing using the versatile mathematics of variational methods solved by partial differential equations (PDEs). This model is new within the last decade and generates both new and superior methods and useful generalizations of known methods. These generalizations allow both better insight into the methods and better performance. A case can be made that these generalizations have sparked a renewal in the theory-borrowing from computational fluid dynamics and differential geometry-and numerics of a class of nonlinear PDEs. The report gives selected examples of the major types of investigation going on and illustrates them with sample imagery. The report also describes how these investigations can be connected to Navy needs in image exploitation and in template-based assisted or automatic target recognition. The challenge of this accelerated capabilities initiative is to identify important applications or opportunities within the rapid retargeting sensor-to-shooter structure that can be improved or developed using these methods.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1997
Accession Number
ADA323655

Entities

People

  • Gary A. Hewer
  • Richard Lau

Organizations

  • Naval Air Warfare Center Weapons Division

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Sensors
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Change Detection
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Vision
  • Detection
  • Detectors
  • Differential Equations
  • Digital Images
  • Equations
  • Feature Extraction
  • Fluid Dynamics
  • Image Processing
  • Linear Programming
  • Partial Differential Equations
  • Pattern Recognition
  • Recognition
  • Target Recognition

Readers

  • Computer Vision.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Technical Research and Report Writing.