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Analysis of institutional authors

Barbieri DAuthorHernández EAuthor

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January 9, 2020
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Proceedings Paper

Optimal translational-rotational invariant dictionaries for images

Publicated to:Proceedings of SPIE - The International Society for Optical Engineering. 11138 (1113804): - 2019-01-01 11138(1113804), DOI: 10.1117/12.2528890

Authors: Barbieri D; Cabrelli C; Hernández E; Molter U

Affiliations

Universidad Autónoma de Madrid - Author
Universidad de Buenos Aires - Author

Abstract

© 2019 SPIE. We provide the construction of a set of square matrices whose translates and rotates provide a Parseval frame that is optimal for approximating a given dataset of images. Our approach is based on abstract harmonic analysis techniques. Optimality is considered with respect to the quadratic error of approximation of the images in the dataset with their projection onto a linear subspace that is invariant under translations and rotations. In addition, we provide an elementary and fully self-contained proof of optimality, and the numerical results from datasets of natural images.

Keywords

Fourier analysisGroup invarianceImage processingOptimal approximation

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Proceedings of SPIE - The International Society for Optical Engineering, Q3 Agency Scopus (SJR), its regional focus and specialization in Electrical and Electronic Engineering, give it significant recognition in a specific niche of scientific knowledge at an international level.

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 2025-08-07:

  • WoS: 1
  • Scopus: 3

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 2025-08-07:

  • 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).

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:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Argentina.

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 (BARBIERI ., DAVIDE) .