Tensor decomposition for color printer model lookup table

Multidimensional lookup tables (LUTs) are often used to describe the response of physical systems to multiple inputs. However these tables are also tensors, and in this paper we will use tensor decomposition to greatly reduce the number of parameters needed to generate an accurate approximation to the tensor, and discuss how to determine these parameters from a small number of known tensor elements. We will use this approach to generate printer models, which are CMY or CMYK to L*a*b* LUTs where each element is an L*a*b* value for one CMYK formulation. The approach generates accurate results with a reasonable number of L*a*b* measurements, and can be used when nothing else is known about the system. It also runs much faster than the physics based models that are sometimes available for these systems.