| The Pixon method demonstrates the ability to perform super-resolution for a synthetic "Closely Space Object" (CSO) problem. Shown is the truth image along with its true power spectum. The power specturm of the PSF blurring function has a sharp cutoff in frequency space. This results in a sharp cutoff in the power spectrum of the data, i.e. there is no spectral power present in the data beyond this cutoff frequency. Nontheless, the Pixon method recovers spectral power outside of the frequency content of the data (compare the power spectrum of the true image with that of the reconstruction). The ability to recover this lost spectral power is provided by the powerful minimal complexity image model constraint used by the Pixon method. |
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