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Analysis of institutional authors

Rueda Perez, Sonia LuisaAuthorSendra, JuanaAuthor

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June 9, 2019
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Approximate parametrization of plane algebraic curves by linear systems of curves

Publicated to: COMPUTER AIDED GEOMETRIC DESIGN. 27 (2): 212-231 - 2010-02-01 27(2), DOI: 10.1016/j.cagd.2009.12.002

Authors:

Pérez-Díaz, S; Sendra, JR; Rueda, SL; Sendra, J
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Affiliations

Univ Alcala De Henares, Dpto Matemat, E-28871 Madrid, Spain - Author
Univ Politecn Madrid, Dpto Matemat, ETS Arquitectura, E-28040 Madrid, Spain - Author
Univ Politecn Madrid, EUIT Telecomunicac, Dpto Matemat Aplicada IT Telecomunicac, E-28031 Madrid, Spain - Author
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Abstract

It is well known that an irreducible algebraic curve is rational (i.e. parametric) if and only if its genus is zero. In this paper, given a tolerance epsilon > 0 and an epsilon-irreducible algebraic affine plane curve C of proper degree d, we introduce the notion of epsilon-rationality, and we provide an algorithm to parametrize approximately affine epsilon-rational plane curves by means of linear systems of (d - 2)-degree curves. The algorithm outputs a rational parametrization of a rational curve (C) over bar of degree d which has the same points at infinity as (C) over bar. Moreover, although we do not provide a theoretical analysis, our empirical analysis shows that and C are close in practice. (C) 2009 Elsevier B.V. All rights reserved.
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Keywords

ApproximateDecompositionHypersurfacesLinear systems of curvesParameterizationParametrizationPlane algebraic curvesSurfaces

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal COMPUTER AIDED GEOMETRIC DESIGN due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2010, it was in position , thus managing to position itself as a Q1 (Primer Cuartil), in the category Computer Graphics and Computer-Aided Design. Notably, the journal is positioned above the 90th percentile.

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 2026-04-25:

  • Google Scholar: 33
  • WoS: 20
  • Scopus: 21
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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-25:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 6 (PlumX).

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/9458/

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: 689
  • Downloads: 511
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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: Last Author (SENDRA PONS, JUANA).

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Awards linked to the item

Authors supported by the Spanish Ministerio de Ciencia e innovacion under the Project MTM2008-04699-C03-01.
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