Evento

Optimal translational-rotational invariant dictionaries for images

Barbieri, Davide; Cabrelli, CarlosIcon ; Hernández, Eugenio; Molter, Ursula MariaIcon
Tipo del evento: Congreso
Nombre del evento: Wavelets and Sparsity XVIII
Fecha del evento: 11/08/2019
Institución Organizadora: Society of Photographic Instrumentation Engineers;
Título de la revista: Spie
Editorial: Society of Photographic Instrumentation Engineers
ISSN: 0277-786X
Idioma: Inglés
Clasificación temática:

Resumen

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.
Palabras clave: IMAGE PROCESSING , GROUP INVARIANCE , OPTIMAL APPROXIMATION , FOURIER ANALYSIS
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/226157
URL: https://doi.org/10.1117/12.2528890
URL: https://www.spiedigitallibrary.org/conference-proceedings-of-spie/11138/2528890/
URL: https://arxiv.org/abs/1909.01887
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Eventos(IMAS)
Eventos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Optimal translational-rotational invariant dictionaries for images; Wavelets and Sparsity XVIII; San Diego; Estados Unidos; 2019; 1-16
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