Interpolation errors and ripple artifacts of 3D lookup table method for nonlinear color conversions
Katsuhiro Kanamori · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1998
This paper describes the theoretical estimation of errors caused by 3D table interpolation for nonlinear color conversions. The interpolation accuracy is affected by three factors; geometric interpolation techniques, distance between the lattice points included in the 3D table, and the degree of nonlinearity of the color conversion. This paper focuses its point on the nonlinearity. Two types of error; conventional error and ripple artifact error are defined, and gray gradation is used for input image. Four types of nonlinear color conversions categorized into ripple type or nonripple type are tested using trilinear interpolating technique. The error goes down with the decreasing of d, however local gamma conversion has very large ripple that couldn't go down with decreasing of d.