Issue No.01 - January (1987 vol.7)
John Roulier , University of Connecticut
This article presents an algorithms to refine bevariate grid data that is convex (and monotonic) along the grid lines so that the refined data exhibits the same convexity (and monotonicity). The algorithm is based on some observations about univariate data and an algorithm for shape-preserving quadratic splines for such data. It can be used as is or with standard surface-path techniques.
John Roulier, "A Convexity-Preserving Grid Refinement Algorithm for Interpolation of Bivariate Functions", IEEE Computer Graphics and Applications, vol.7, no. 1, pp. 57-62, January 1987, doi:10.1109/MCG.1987.277027