Mathematical Geology

, Volume 25, Issue 6, pp 657–669

Interpolation by regularized spline with tension: II. Application to terrain modeling and surface geometry analysis

  • Helena Mitášová
  • Jaroslav Hofierka

DOI: 10.1007/BF00893172

Cite this article as:
Mitášová, H. & Hofierka, J. Math Geol (1993) 25: 657. doi:10.1007/BF00893172


A general approach to the computation of basic topographic parameters independent of the spatial distribution of given elevation data is developed. The approach is based on an interpolation function with regular first and second order derivatives and on application of basic principles of differential geometry. General equations for computation of profile, plan, and tangential curvatures are derived. A new algorithm for construction of slope curves is developed using a combined grid and vector approach. Resulting slope curves better fulfill the condition of orthogonality to contours than standard grid algorithms. Presented methods are applied to topographic analysis of a watershed in central Illinois.

Key words

topographic analysis curvatures flow lines 

Copyright information

© International Association for Mathematical Geology 1993

Authors and Affiliations

  • Helena Mitášová
    • 1
    • 2
  • Jaroslav Hofierka
    • 2
  1. 1.Illinois Natural History SurveyChampaign
  2. 2.Department of Physical Geography and CartographyComenius UniversityBratislavaCzechoslovakia

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