Edge Detection by Adaptive Splitting II. The Three-Dimensional Case

Llanas Juarez, Bernardo and Lantarón Sánchez, Sagrario (2012). Edge Detection by Adaptive Splitting II. The Three-Dimensional Case. "Journal of Scientific Computing", v. 51 (n. 2); pp. 474-503. ISSN 0885-7474. https://doi.org/10.1007/s10915-011-9517-z.

Description

Title: Edge Detection by Adaptive Splitting II. The Three-Dimensional Case
Author/s:
  • Llanas Juarez, Bernardo
  • Lantarón Sánchez, Sagrario
Item Type: Article
Título de Revista/Publicación: Journal of Scientific Computing
Date: May 2012
ISSN: 0885-7474
Volume: 51
Subjects:
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Matemática e Informática Aplicadas a la Ingeniería Civil [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In Llanas and Lantarón, J. Sci. Comput. 46, 485–518 (2011) we proposed an algorithm (EDAS-d) to approximate the jump discontinuity set of functions defined on subsets of ℝ d . This procedure is based on adaptive splitting of the domain of the function guided by the value of an average integral. The above study was limited to the 1D and 2D versions of the algorithm. In this paper we address the three-dimensional problem. We prove an integral inequality (in the case d=3) which constitutes the basis of EDAS-3. We have performed detailed computational experiments demonstrating effective edge detection in 3D function models with different interface topologies. EDAS-1 and EDAS-2 appealing properties are extensible to the 3D case

More information

Item ID: 15749
DC Identifier: http://oa.upm.es/15749/
OAI Identifier: oai:oa.upm.es:15749
DOI: 10.1007/s10915-011-9517-z
Official URL: http://link.springer.com/article/10.1007%2Fs10915-011-9517-z
Deposited by: Memoria Investigacion
Deposited on: 31 Oct 2013 12:07
Last Modified: 21 Apr 2016 16:02
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