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Heß, W. and Schmidt, J.W. (1994) Positive Quartic, Monotone Quintic C2-Spline Interpolation in One and Two Dimensions. Journal of Computational and Applied Mathematics, 55, 51-67.
https://doi.org/10.1016/0377-0427(94)90184-8

has been cited by the following article:

• TITLE: An Unconditionally Monotone C2 Quartic Spline Method with Nonoscillation Derivatives

  AUTHORS: Jin Yao, Karl E. Nelson

  KEYWORDS: Monotone Interpolation, Quartic, Non-Oscillation Derivative, Interface Reconstruction, Slope Space, Hermit Spline

  JOURNAL NAME: Advances in Pure Mathematics, Vol.8 No.1, January 24, 2018

  ABSTRACT: A one-dimensional monotone interpolation method based on interface reconstruction with partial volumes in the slope-space utilizing the Hermite cubic-spline, is proposed. The new method is only quartic, however is C2 and unconditionally monotone. A set of control points is employed to constrain the curvature of the interpolation function and to eliminate possible nonphysical oscillations in the slope space. An extension of this method in two-dimensions is also discussed.