Image resituation: initial theory

HePing Pan; Michael J. Brooks; Garry N. Newsam

doi:10.1117/12.220897

13 September 1995 Image resituation: initial theory

HePing Pan, Michael J. Brooks, Garry N. Newsam

Proceedings Volume 2598, Videometrics IV; (1995) https://doi.org/10.1117/12.220897
Event: Photonics East '95, 1995, Philadelphia, PA, United States

Abstract

An important step in many photogrammetry problems is to determine the intrinsic and extrinsic parameters associated with image formation, a process we shall term image resituation. An ideal photogrammetric system would be able to compute these parameters for an arbitrary nubmer of images using only the automatically determined coordinates of homologous points. While such a system has yet to be developed, this paper formulates a relatively general image resituation problem and presents some new solutions in the two-image case. The approach recasts the stereo coplanarity equation, including unknown intrinsic parameters, into a quandratic form defining a general coplanarity matrix. This leads to a system from which up to seven free imaging parameters can be determined. We consider the situation in which two images are captured using adaptive cameras, where the focal length and principal point may differ in each image, but are always in a known relationship to each other. We show that the unknown two focal lengths and five relative orientation parameters can be derived in closed-form from the general coplanarity matrix. A numerial example is provided to illustrate the approach. These results contibute to the long-term goal of developing a photogrammetric system able to operate in the absence of object-space control information. A companion paper describes more detailed algorithms and experiments.

Citation Download Citation

HePing Pan, Michael J. Brooks, and Garry N. Newsam "Image resituation: initial theory", Proc. SPIE 2598, Videometrics IV, (13 September 1995); https://doi.org/10.1117/12.220897

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