Geometric Derivation of Camera Equations
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.
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Availability:
- Find a library where document is available. Order URL: http://worldcat.org/issn/01487191
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Supplemental Notes:
- Abstract reprinted with permission of SAE International.
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Authors:
- Funk, James
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Conference:
- WCX SAE World Congress Experience
- Location: Detroit & Online Michigan, United States
- Date: 2022-4-5 to 2022-4-7
- Publication Date: 2022-3-29
Language
- English
Media Info
- Media Type: Web
- Features: References;
- Pagination: pp 1189-1197
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Serial:
- SAE Technical Paper
- Volume: 4
- Issue Number: 4
- Publisher: Society of Automotive Engineers (SAE)
- ISSN: 0148-7191
- EISSN: 2688-3627
- Serial URL: http://papers.sae.org/
Subject/Index Terms
- TRT Terms: Analytic geometries; Crash reconstruction; Image processing; Mathematical models; Photogrammetry; Visualization
- Subject Areas: Data and Information Technology; Highways; Vehicles and Equipment;
Filing Info
- Accession Number: 01843142
- Record Type: Publication
- Source Agency: SAE International
- Report/Paper Numbers: 2022-01-0831
- Files: TRIS, SAE
- Created Date: Apr 25 2022 10:05AM