Color mixing property of a projector-camera system

In this paper, we investigate the property of how color channels of a projector-camera system interact with each other, which is also called color mixing of the system. We propose a method to describe this property with a single color mixing matrix for the system, rather than a different matrix for every surface point. The matrix is independent of projection surface and ambient light. It can be measured just like response functions of projector-camera system. The matrix is helpful for color sensitive applications like radiometric compensation and scene reconstruction. By decoupling color channels with the matrix of the system, color images can be processed on each channel separately just like gray images. As most projector-camera systems have broad overlap color channels, it's improper to neglect their interactions. We will show the validity of describing color mixing of the system with a single matrix. In the end, some experiments are designed to verify our method. The result is convincing.