Color correction of images for a non-linear device uses its characterization function, often evaluated by rectilinear interpolation of a table of measurements. Sequential linear interpolation (SLI) instead allows more freely distributed grid points, but usually requires remeasure-ment to place them optimally. We smooth the measured data with a tensor-product spline before using a fast SLI look-up table: noise is reduced, and the spline curvature reveals choice SLI grid locations without remeasurement.
Ian E. Bell, William Cowan, "Device Characterization Using Spline Smoothing and Sequential Linear Interpolation" in Proc. IS&T 2nd Color and Imaging Conf., 1994, pp 29 - 32, https://doi.org/10.2352/CIC.1994.2.1.art00008