Nonlinear estimation method of spectral reflectance from camera responses is proposed. The proposed method minimizes the mean square error of spectral reflectance when the reflectance can be regarded as a random sequence of Gaussian mixture distribution. In computer simulations, 168 samples of spectral reflectance from a color chart are estimated from their image signals obtained by three- and six-band cameras. It is confirmed that the proposed method improves the accuracy in comparison with the conventional Wiener estimation method.
© 2002 Optical Society of America
(100.2000) Image processing : Digital image processing
(100.3190) Image processing : Inverse problems
(300.6550) Spectroscopy : Spectroscopy, visible
(330.1690) Vision, color, and visual optics : Color
Yuri Murakami, Takashi Obi, Masahiro Yamaguchi, and Nagaaki Ohyama, "Nonlinear Estimation of Spectral Reflectance Based on Gaussian Mixture Distribution for Color Image Reproduction," Appl. Opt. 41, 4840-4847 (2002)