How a Simple Shift Can Significantly Improve the Performance of Linear Interpolation

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. Thanks to a theoretical analysis, we determine the optimal shift that maximizes the quality of our shifted linear interpolation. Surprisingly enough, this optimal value is nonzero and it is close to 1 ⁄ 5. We confirm our theoretical findings by performing a cumulative rotation experiment, which shows a significant increase of the quality of the shifted method with respect to the standard one. Most interesting is the fact that we get a quality similar to that of high-quality cubic convolution at the computational cost of linear interpolation.

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Proceedings of the 2002 IEEE International Conference on Image Processing (ICIP'02), Rochester NY, USA, 377–380

 Record created 2015-09-18, last modified 2018-03-17

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