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

Interpolation by regularized spline with tension: II. Application to terrain modeling and surface... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematical Geosciences Springer Journals

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

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References (29)

Publisher
Springer Journals
Copyright
Copyright
Subject
Earth Sciences; Earth Sciences, general; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences; Geotechnical Engineering & Applied Earth Sciences; Hydrogeology
ISSN
1874-8961
eISSN
1573-8868
DOI
10.1007/BF00893172
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Mathematical Geosciences – Springer Journals

Published: Dec 13, 2004

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