Surface fitting in geomorphology - examples for regular-shaped volcanic landforms

Yepes Temiño, Jorge and Favalli, A. and Karátson, D. and Nannipieri, L. (2014). Surface fitting in geomorphology - examples for regular-shaped volcanic landforms. "Geomorphology", v. null (n. 221); pp. 139-149. ISSN 0169-555X. https://doi.org/10.1016/j.geomorph.2014.06.009.

Description

Title: Surface fitting in geomorphology - examples for regular-shaped volcanic landforms
Author/s:
  • Yepes Temiño, Jorge
  • Favalli, A.
  • Karátson, D.
  • Nannipieri, L.
Item Type: Article
Título de Revista/Publicación: Geomorphology
Date: 2014
ISSN: 0169-555X
Volume: null
Subjects:
Faculty: E.T.S.I. de Minas y Energía (UPM)
Department: Ingeniería Geológica y Minera
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (8MB) | Preview

Abstract

In nature, several types of landforms have simple shapes: as they evolve they tend to take on an ideal, simple geometric form such as a cone, an ellipsoid or a paraboloid. Volcanic landforms are possibly the best examples of this ?ideal? geometry, since they develop as regular surface features due to the point-like (circular) or fissure-like (linear) manifestation of volcanic activity. In this paper, we present a geomorphometric method of fitting the ?ideal? surface onto the real surface of regular-shaped volcanoes through a number of case studies (Mt. Mayon, Mt. Somma, Mt. Semeru, and Mt. Cameroon). Volcanoes with circular, as well as elliptical, symmetry are addressed. For the best surface fit, we use the minimization library MINUIT which is made freely available by the CERN (European Organization for Nuclear Research). This library enables us to handle all the available surface data (every point of the digital elevation model) in a one-step, half-automated way regardless of the size of the dataset, and to consider simultaneously all the relevant parameters of the selected problem, such as the position of the center of the edifice, apex height, and cone slope, thanks to the highly performing adopted procedure. Fitting the geometric surface, along with calculating the related error, demonstrates the twofold advantage of the method. Firstly, we can determine quantitatively to what extent a given volcanic landform is regular, i.e. how much it follows an expected regular shape. Deviations from the ideal shape due to degradation (e.g. sector collapse and normal erosion) can be used in erosion rate calculations. Secondly, if we have a degraded volcanic landform, whose geometry is not clear, this method of surface fitting reconstructs the original shape with the maximum precision. Obviously, in addition to volcanic landforms, this method is also capable of constraining the shapes of other regular surface features such as aeolian, glacial or periglacial landforms.

More information

Item ID: 35574
DC Identifier: http://oa.upm.es/35574/
OAI Identifier: oai:oa.upm.es:35574
DOI: 10.1016/j.geomorph.2014.06.009
Official URL: http://www.sciencedirect.com/science/article/pii/S0169555X14003092
Deposited by: Memoria Investigacion
Deposited on: 16 Jun 2015 06:39
Last Modified: 16 Jun 2015 06:39
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM