Systems and methods for performing relative object localization using a local positioning system. The process in accordance with one embodiment solves the problem of determining the location (i.e., the position and orientation) of an object relative to a previous location of the object, or relative to another object, without the need for known 3-D data point positions in the environment. The process in accordance with another embodiment solves the problem of determining the location of the measurement instrument relative to a previous location of the measurement instrument using visible feature points on a target object as a reference, again without the need for known 3-D data point positions. The process in accordance with a further embodiment is capable of determining the locations of multiple objects relative to each other.