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I. J. Schoenberg, “Contribution to the Problem of Approximation of Equidistant Data by Analytic Functions,” Quarterly of Applied Mathematics, Vol. 4, No. 1, 1946, pp. 45-99, 112-141.

has been cited by the following article:

• TITLE: Shifted Linear Interpolation Filter

  AUTHORS: Hannu Olkkonen, Juuso T. Olkkonen

  KEYWORDS: Linear Interpolation, Cubic Convolution, B-splines, VLSI

  JOURNAL NAME: Journal of Signal and Information Processing, Vol.1 No.1, December 1, 2010

  ABSTRACT: Linear interpolation has been adapted in many signal and image processing applications due to its simple implementation and low computational cost. In standard linear interpolation the kernel is the second order B-spline. In this work we show that the interpolation error can be remarkably diminished by using the time-shifted B-spline as an interpolation kernel. We verify by experimental tests that the optimal shift is. In VLSI and microprocessor circuits the shifted linear interpolation (SLI) algorithm can be effectively implemented by the z-transform filter. The interpolation error of the SLI filter is comparable to the more elaborate higher order cubic convolution interpolation.