Analytical Photogrammetry: A Collinear Theory.
Final technical rept.,
OHIO STATE UNIV RESEARCH FOUNDATION COLUMBUS
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A collinear theory of photogrammetry is developed through the employment of homogeneous coordinates and generalized matrix inverses. Chapter I outlines the basic concepts used in the succeeding chapters. In Chapter 2 Abbes theory of optical instruments is introduced as the foundation upon which the present theory is built. The distinguishing facet of Abbes theory is its basic postulate which asserts regardless of the mechanism by which it is accomplished that there exists a one-to-one relationship between the object and its image. Through this postulate one arrives at the conclusion that a three-dimensional, non-singular projective transformation collineation relates object and image. Next, Chapter 3 investigates in some detail the photograph as a singular collineation. Chapter 4 covers the theory of photographic stereo-pairs. In the final section, Chapter 5, empirical instrumental relative orientation is shown to be analogous to the Gauss-Seidel methods. Author
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