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Analysis of institutional authors

Canton, ACorresponding AuthorFernandez-Jambrina, LCorresponding AuthorVazquez-Gallo, M JAuthor

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January 7, 2026
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Rational complex Bezier curves

Publicated to: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 480 117246- - 2026-12-19 480(), DOI: 10.1016/j.cam.2025.117246

Authors:

Canton, A; Fernandez-Jambrina, L; Vazquez-Gallo, M J
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Affiliations

Univ Politecn Madrid, Matemat Informat Aplicadas Ingn Civil & Naval, E-28040 Madrid, Spain - Author

Abstract

In this paper we develop the formalism of rational complex B & eacute;zier curves. This framework is a simple extension of the CAD paradigm, since it describes arcs of curves in terms of control polygons and weights, which are extended to complex values. One of the major advantages of this extension is that we may make use of two different groups of projective transformations. Besides the group of projective transformations of the real plane, we have the group of complex projective transformations. This allows us to apply useful transformations like the geometric inversion to curves in design. In addition to this, the use of the complex formulation allows to lower the degree of the curves in some cases. This can be checked using the resultant of two polynomials and provides a simple formula for determining whether a rational cubic curve is a conic or not. Examples of application of the formalism to classical curves are included.
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Keywords

Rational b & eacuteZier curves,complex geometry

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 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, 2026, it was in position 35/344, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics, Applied. Notably, the journal is positioned above the 90th percentile.

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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, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 2.
  • 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: 5 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 5.
  • The number of mentions on the social network X (formerly Twitter): 4 (Altmetric).
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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 (CANTON PIRE, ALICIA) and Last Author (VAZQUEZ GALLO, MARIA JESUS).

the authors responsible for correspondence tasks have been CANTON PIRE, ALICIA and FERNANDEZ JAMBRINA, LEONARDO.

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Awards linked to the item

This work is partially supported by the Spanish Agencia Estatal de Investigacion through research grant PID2024-158664NB-C21.
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Contextual narrative


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