Photogrammetry, camera matching, and model-based image matching are commonly used techniques to analyze photographs and video for accident reconstruction and other forensic applications. Investigators are often tasked with taking measurements from photographs or determining speed from a video. All such calculations are based on fundamental geometric principles governing image projection inside a camera. Most treatments in the literature express the image projection equations in matrix notation rather than closed-form solutions. The purpose of this paper is to present a geometric derivation of the image projection equations in closed form that can be readily applied by a qualified investigator without the need for specialized software. In addition, a simple brute force optimization procedure is described to perform camera matching and model-based image matching. Examples are provided to demonstrate the method.
Geometric Derivation of Camera Equations
Sae Int. J. Adv. and Curr. Prac. in Mobility
WCX SAE World Congress Experience ; 2022
Sae International Journal of Advances and Current Practices in Mobility ; 4 , 4 ; 1189-1197
2022-03-29
9 pages
Aufsatz (Konferenz)
Englisch
A geometric derivation of Kane's equations
AIAA | 1989
|Geometric camera calibration: the virtual camera approach
British Library Online Contents | 1995
|Derivation of the shell compatibility equations
AIAA | 1970
|Catadioptric Camera Calibration Using Geometric Invariants
British Library Conference Proceedings | 2003
|