Implementing the Region Growing Method. Part 1: The Piecewise Constant Case

Abstract

In this report, we illustrate how one can implement the Region Growing method for minimizing the simplified Mumford and Shah functional in dimension 2, for single- and multichannel-data in the piecewise constant setting. For completeness, we include the theory that shows how to obtain the piecewise approximations in general and the form of the General Merging criterion used in the Region Growing method. We describe in detail the Matlab functions used in the implementation and include the listings of the programs for reference. Thus, this report also serves as documentation for the two-dimensional, piecewise constant program in the single and multichannel settings.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2002
Accession Number
ADA427003

Entities

People

  • Jorge M. Martin

Organizations

  • Naval Air Warfare Center Weapons Division

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aerial Warfare
  • Algorithms
  • Boundaries
  • Classification
  • Coefficients
  • Computer Vision
  • Equations
  • Identities
  • Iterations
  • Linear Systems
  • Mathematical Models
  • Mathematics
  • Military Research
  • Multichannel
  • Segmented
  • Standards
  • Two Dimensional

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  • Approximation Theory.
  • Computer Science.
  • Economics