Mathematical Geology

, Volume 33, Issue 6, pp 693–717

Gradient Estimation from Irregularly Spaced Data Sets

  • Thomas H. Meyer
  • Marian Eriksson
  • Robert C. Maggio
Article

DOI: 10.1023/A:1011026732182

Cite this article as:
Meyer, T.H., Eriksson, M. & Maggio, R.C. Mathematical Geology (2001) 33: 693. doi:10.1023/A:1011026732182

Abstract

Topographic data sets are often composed of terrain samples arranged in irregular meshes. Many gradient estimation methods require the data to be arranged in a regular mesh; irregular meshes present a difficulty for them. This paper presents a novel method of estimating surface gradients from irregularly spaced inputs. The method is derived using directional derivatives and is shown to be a generalization of traditional finite difference methods. Analytical tests were used to evaluate the method, which was shown to be accurate and robust.

directional derivative finite difference slope surface normal vector geomorphometric 

Copyright information

© International Association for Mathematical Geology 2001

Authors and Affiliations

  • Thomas H. Meyer
    • 1
  • Marian Eriksson
    • 1
  • Robert C. Maggio
    • 2
  1. 1.Department of Forest ScienceTexas A&M University, College Station
  2. 2.Petris TechnologyHouston

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