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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
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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.
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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
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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) .