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We apply our method to a dataset of Euclid-like simulated PSFs (Point Spread Function). ESA's Euclid mission will cover a large area of the sky in order to accurately measure the shape of billions of galaxies. PSF estimation and correction is one of the main sources of systematic errors on those galaxy shape measurements. PSF variations across the field of view and with the incoming light's wavelength can be highly non-linear, while still retaining strong geometrical information, making the use of Optimal Transport distances an attractive prospect. We show that our representation does indeed succeed at capturing the PSF's variations.
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Multiscale analysis methods, including wavelet transforms, used for image enhancement, faint feature recognition, image content characterization and fusion are presented in this material. Embedded applications in object detection, image database operations, image and signal compression and transmission, and process control are also discussed. This course explains how image and signal processing methods are used in science operations, product development and visual inspection.
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