Image motion compensation through augmented collinearity equations

Image degradation caused by relative motion between an object and imaging system (such as a camera with its platform) is detrimental to precision measurements of the image. In this paper, principal modes of relative motion are identified. The discussion, however, concentrates on the systematic motions, translatory and rotatory. Various known analogical approaches to compensate for image motion are cited. An analytical/computational approach is presented. This considers the three-dimensional transformation relationship between the image and the object, known as the collinearity condition. The standard forms of collinearity equations are presented. Augmentation of these equations for both translatory and rotatory motions is expounded. With the increasing use of high-speed computers (and analytical plotters in the realm of photogrammetry), this approach appears to be more cost-effective and seems to yield better precision than other approaches that concentrate on analogical corrections to the image.