The Simplest 'Hueckel' Edge Detector is a Roberts Operator

Abstract

Hueckel's edge detector finds the best-fitting ideal step edge to a given picture neighborhood, by expanding the neighborhood and step edge in terms of a set of nine basis functions. The simplest case of this approach uses a 2- by-2 neighborhood and three basis functions. This case is solved explicitly using elementary methods. The magnitude of the best-fitting step edge for the neighborhood AB over CD turns out to be the Roberts operator max (abs. val. (A- D), abs. val. (B-C)).

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1979
Accession Number
ADA076062

Entities

People

  • Azriel Rosenfeld

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Change Detection
  • Coefficients
  • Computer Science
  • Detection
  • Detectors
  • Image Processing
  • Maryland
  • Night Vision
  • Numbers
  • Pattern Recognition
  • Quadrants
  • Square Roots
  • Step Functions
  • Two Dimensional
  • Universities

Readers

  • Calculus or Mathematical Analysis
  • Computer Vision.
  • Graph Algorithms and Convex Optimization.