A Note on Cubic Convolution Interpolation
E. Meijering, M. Unser
IEEE Transactions on Image Processing, vol. 12, no. 4, pp. 477–479, April 2003.
We establish a link between classical osculatory interpolation and modern convolution-based interpolation and use it to show that two well-known cubic convolution schemes are formally equivalent to two osculatory interpolation schemes proposed in the actuarial literature about a century ago. We also discuss computational differences and give examples of other cubic interpolation schemes not previously studied in signal and image processing.
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