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

Llanas Juarez, Bernardo and Lantarón Sánchez, Sagrario ORCID: https://orcid.org/0000-0002-6616-3641 (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.

Descripción

Título: Edge Detection by Adaptive Splitting II. The Three-Dimensional Case
Autor/es:
Tipo de Documento: Artículo
Título de Revista/Publicación: Journal of Scientific Computing
Fecha: Mayo 2012
ISSN: 0885-7474
Volumen: 51
Número: 2
Materias:
ODS:
Escuela: E.T.S.I. Caminos, Canales y Puertos (UPM)
Departamento: Matemática e Informática Aplicadas a la Ingeniería Civil [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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

Más información

ID de Registro: 15749
Identificador DC: https://oa.upm.es/15749/
Identificador OAI: oai:oa.upm.es:15749
URL Portal Científico: https://portalcientifico.upm.es/es/ipublic/item/5487226
Identificador DOI: 10.1007/s10915-011-9517-z
URL Oficial: http://link.springer.com/article/10.1007%2Fs10915-...
Depositado por: Memoria Investigacion
Depositado el: 31 Oct 2013 12:07
Ultima Modificación: 12 Nov 2025 00:00