MATHEMATICAL TERRAIN ANALYSIS

A NEW METHOD FOR DEVELOPING MATHEMATICAL MODELS FOR THE GEOMETRY OF THE EARTH'S SURFACE IS PRESENTED AND ANALYZED. THE METHOD TAKES ADVANTAGE OF RECENTLY DEVELOPED CONSTRAINED OPTIMIZATION TECHNIQUES TO DEVELOP AN EFFICIENT PROCEDURE WHICH FITS LOCALLY DEFINED SURFACE FUNCTIONS TO LOCAL TERRAIN OBSERVATIONS, BUT REQUIRES NEIGHBORING SURFACE FUNCTIONS TO SATISFY SPECIFIED CONTINUITY AND SMOOTHNESS CONDITIONS ALONG THEIR MUTUAL BOUNDARIES OF VALIDITY. THE METHOD ALSO HANDLES GEODETIC CONTROL CONSTRAINTS WELL; THEY CAN BE SATISFIED EXACTLY BY CONSIDERING THEM AS ADDITIONAL RIGOROUS CONSTRAINTS, OR IN THE USUAL LEAST SQUARE FASHION BY ASSIGNING AN APPROPRIATE WEIGHTING FACTOR. THE OBVIOUS AND SUBTLE ADVANTAGES AND DISADVANTAGES OF VARIOUS PROCEDURES ARE DISCUSSED IN THE LIGHT OF NUMERICAL AND GRAPHICAL RESULTS. NEW METHODS FOR DETERMINING SMOOTH CONTOURS FROM THE TERRAIN MODEL SURFACE FUNCTIONS ARE ALSO DISCUSSED AND RESULTS PRESENTED. /AUTHOR/

  • Supplemental Notes:
    • pp 658-678, 3 FIG, 9 REF
  • Authors:
    • Junkins, J L
    • Jancaitis, J R
  • Publication Date: 1971-3

Media Info

Subject/Index Terms

Filing Info

  • Accession Number: 00202919
  • Record Type: Publication
  • Report/Paper Numbers: pp 782-785
  • Files: TRIS
  • Created Date: Aug 8 1971 12:00AM