title: A note on cubic convolution interpolation.
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.
authors.affiliation: Biomed. Imaging Group, Swiss Fed. Inst. of Technol., Lausanne, Switzerland. meijering@imagescience.org
authors.forename: Erik
authors.initials: E
authors.lastname: Meijering
authors.forename: Michael
authors.initials: M
authors.lastname: Unser