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We present a simple, original method to improve piecewise-linear interpolation with uniform knots: we shift the sampling knots by a fixed amount, while enforcing the interpolation property. We determine the theoretical optimal shift that maximizes the quality of our shifted linear interpolation. Surprisingly enough, this optimal value is nonzero and close to 1 5. We confirm our theoretical findings by performing several experiments: a cumulative rotation experiment and a zoom experiment. Bothdoi:10.1109/tip.2004.826093 pmid:15376602 fatcat:4nhm3szqujdg3lyqlidwnvg5va