Color Management of Printers by Regression over Enclosing Neighborhoods

A popular color management standard for controlling color reproduction is the ICC color profile. The core of the ICC profile is a look-up-table which maps a regular grid of device- independent colors to the printer colorspace. To estimate the look-up-table from sample input-output colors, local linear regression has been shown to work better than other meth- ods. An open problem in local linear regression is how to de- fine the locality or neighborhood for each of the local linear regressions. In this paper, new adaptive neighborhood def- initions and regularized local linear regression are proposed to address this problem. The adaptive neighborhood defini- tions enclose the test sample, and are motivated by a result showing they yield bounded estimation variance. An experi- ment shows that both regularization and the proposed neigh- borhoods can lead to a significant reduction in error.