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An easy algorithm is offered for interpolation as soon as the data originates from a strictly convex planar curve. The technique makes use of a set of tridiagonal systems of linear equations to locate an approximate interpolant. Then approximation can be used with standard computer software to create a defined interpolant. •The information should be planar and strictly convex.•The method is powerful and fast. Crown Copyright © 2020 posted by Elsevier B.V.Introdu