Theoretical Weighting of Photogrammetric Equations

by Charles Kendall Paul, Sr. Scientist; Jet Propulsion Lab., Pasadena, CA,

Serial Information: Journal of the Surveying and Mapping Division, 1972, Vol. 98, Issue 2, Pg. 127-135

Document Type: Journal Paper


The fundamental resection formulas of photogrammetry suggest a weighting scheme based on the standard deviations of the ratios of image coordinates to focal length. These ratios are functions of random variables having aposteriori means and variances. A theoretical development and formulation of the standard deviations of these ratios indicate that: (1) The weights are maximum at the photo principal point and decrease toward the photoedges; and (2) the range of weight factors from center to edge is greater for smaller focal lengths. Weights vary by a factor of 2.00 for a camera focal length of 75 mm, 1.64 for a 100 mm focal length, 1.44 for 125 mm, 1.32 for 150 mm, 1.09 for 300 mm, 1.04 for 450 mm, and 1.02 for 600 mm.

Subject Headings: Photogrammetry | Imaging techniques | Cameras

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