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Interpolation is responsible for digital signal resampling and cansignificantly degrade the original signal quality if not done properly. Formany years, optimal interpolation algorithms were sought within constrainedclasses of interpolation kernel functions. We derive a new family ofunconstrained L2-optimal interpolation kernels, and compare their properties tothe previously known. Although digital images are used to illustrate this work,our L2-optimal kernels can be applied to interpolate any digital signals.

Improving digital signal interpolation: L2-optimal kernels with kernel-invariant interpolation speed