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A-contrario ringing detection and Shannon-compliant images (2009)

Abstract
According to Shannon Sampling Theory, cardinal sine (sinc) interpolation is the optimal way to reach subpixel accuracy from a properly sampled digital image. However, for most images sinc interpolation tends to produce an artifact called ringing, that consists in undesirable oscillations near objects contours. In this work, we propose a way to detect this ringing artifact in an a-contrario framework. Using Euler zigzag numbers, we compute the probability that neighboring gray-levels form an alternating sequence by chance, and characterize this way ringing blocks as structures that would be very unlikely in a random image. We then show two applications where the associated algorithm is used to test or enforce the compliance of an image with sinc interpolation.

Publication details
Download HAL:http://hal.archives-ouvertes.fr/hal-00388032/en/, http://hal.archives-ouvertes.fr/docs/00/38/80/32/PDF/2009-10.pdf
Publisher HAL - CCSD
Repository INRIA a CCSD electronic archive server based on P.A.O.L (France)
Keywords [INFO:INFO_TI] Computer Science/Image Processing, Shannon sampling Theory, ringing, sinc interpolation, Euler zigzag numbers, a-contrario detection
Type text
Language English