INVESTIGADORES
CABRELLI Carlos Alberto
congresos y reuniones científicas
Título:
Optimal Translational-rotational invariant dictionaries for images
Autor/es:
BARBIERI, DAVIDE; CABRELLI, CARLOS; HERNÁNDEZ, EUGENIO; MOLTER, URSULA
Lugar:
San Diego
Reunión:
Congreso; SPIE Optical Engineering + Applications,; 2019
Institución organizadora:
SPIE
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.
