Gradient estimation from irregularly spaced data sets Academic Article

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. 2001 International Association for Mathematical Geology.

authors

• Eriksson, Marian

published proceedings

• MATHEMATICAL GEOLOGY

author list (cited authors)

• Meyer, T. H., Eriksson, M., & Maggio, R. C.

citation count

• 20

complete list of authors

• Meyer, TH||Eriksson, M||Maggio, RC

publication date

• August 2001

publisher

• Springer Nature  Publisher

published in

• Mathematical Geosciences  Journal

keywords

• Directional Derivative
• Finite Difference
• Geomorphometric
• Slope
• Surface Normal Vector

Digital Object Identifier (DOI)

• 10.1023/A:1011026732182

start page

• 693

end page

• 717

volume

• 33

issue

• 6

URL

• http%3A%2F%2Fdx.doi.org%2F10.1023%2Fa%3A1011026732182