A STUDY IN NUMERICAL RADIAL TRIANGULATION

THE STUDY WAS SUGGESTED BY RECENT ARTICLES BY TURPIN AND BY WOLF ON THE SAME SUBJECT. RADIAL TRIANGULATION DIFFERS FROM CONVENTIONAL ANALYTIC AERO-TRIANGULATION IN THE SENSE THAT THE FORMER DERIVES ONLY THE HORIZONTAL COORDINATES OF POINTS WHEREAS THE LATTER INVOLVES BOTH HORIZONTAL AND VERTICAL. THE FORMULAS FOR THE RADIAL PROBLEM ARE ACCORDINGLY MUCH SIMPLER TO COMPUTE. THE DERIVATION PROVIDES A MODERN TECHNIQUE FOR ESTABLISHING THE MATHEMATICAL PRINCIPLE, INCLUDING THE APPLICATION OF LEAST SQUARES AND THE ANALYSIS OF REDUNDANT DATA. TWO MATHEMATICAL MODELS ARE STUDIED, BOTH BASED ON IMAGE COORDINATE MEASUREMENT SUCH AS WITH A MONO COMPARATOR. THE MODELS ARE BASICALLY EQUIVALENT. FIVE POINTS PER MODEL GIVES MORE CONSISTENT RESULTS THAN THREE POINTS, BUT BOTH EXHIBIT THE CHARACTERISTIC BENDING OF STRIPS OF PHOTOGRAPHS. /ASP/

  • Supplemental Notes:
    • Vol 34, No 4, PP 358-368, 3 FIG, 3 TAB, 5 REF, 1 APP
  • Authors:
    • Mikhail, E M
  • Publication Date: 1968-4

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  • Accession Number: 00202648
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Jul 22 1994 12:00AM