June 9, 2019
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Edge Detection by Adaptive Splitting II. The Three-Dimensional Case

Publicated to: JOURNAL OF SCIENTIFIC COMPUTING. 51 (2): 474-503 - 2012-05-01 51(2), DOI: 10.1007/s10915-011-9517-z

Authors:

Llanas, B; Lantarón, S
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Affiliations

Univ Politecn Madrid, Dept Matemat Aplicada, ETSI Caminos - Author

Abstract

In Llanas and Lantarn, 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 ae (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.
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Keywords

3d edge detection3d high-resolution imageryAdaptive splittingBoundary detectionImagesImplicit smoothingJump discontinuity setModelsMriReconstructionSegmentationShapeTriangulationsVolumes

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal JOURNAL OF SCIENTIFIC COMPUTING due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2012, it was in position 22/247, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics, Applied.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2026-04-26:

  • WoS: 1
  • Scopus: 1
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Impact and social visibility

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/15749/

As a result of the publication of the work in the institutional repository, statistical usage data has been obtained that reflects its impact. In terms of dissemination, we can state that, as of

  • Views: 377
  • Downloads: 390
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Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (LLANAS JUAREZ, BERNARDO) and Last Author (LANTARON SANCHEZ, SAGRARIO).

the author responsible for correspondence tasks has been LLANAS JUAREZ, BERNARDO.

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