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How a simple shift can significantly improve the performance of linear interpolation

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3 Author(s)
T. Blu ; Biomed. Imaging Group FSTI/IOA, Swiss Fed. Inst. of Technol., Lausanne, Switzerland ; P. Thevenaz ; M. Unser

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.

Published in:

Image Processing. 2002. Proceedings. 2002 International Conference on  (Volume:3 )

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