DECOMPOSITION OF IMAGES AND OBJECTS INTO MEASUREMENT AND NULL COMPONENTS

We derive and discuss an algorithm for separating measurement- and nul l-space components of an object with respect to a given imaging system . This algorithm requires a discrete-to-discrete approximation of a ty pically continuous-to-discrete imaging system, and problems associated with such an approximation are examined. Situations where knowledge o f the measurement and null spaces is crucial for analyzing imaging sys tems are discussed. We conclude with two examples demonstrating the us efulness of this algorithm, even in the discrete-to-discrete approxima tion. (C) 1997 Optical Society of America.