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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.
Title: | Edge Detection by Adaptive Splitting II. The Three-Dimensional Case |
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Author/s: |
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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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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
Item ID: | 15749 |
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DC Identifier: | https://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-... |
Deposited by: | Memoria Investigacion |
Deposited on: | 31 Oct 2013 12:07 |
Last Modified: | 21 Apr 2016 16:02 |