A note on cubic convolution interpolation

Authors:
E. Meijering;M. Unser
Affiliations:
Biomed. Imaging Group, Swiss Fed. Inst. of Technol., Lausanne, Switzerland;-
Venue:
IEEE Transactions on Image Processing
Year:
2003

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Abstract

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.