Research Article
Sep 1977
Linearized Collinearity Equations for Scanned Data
Publication: Journal of the Surveying and Mapping Division
Volume 103, Issue 1
Abstract
The collinearity equations, based upon modification of those common in conventional photogrammetry, must accommodate the continuous dynamic nature of the exterior orientation elements. Therefore, some types of functional behavior (polynomials, harmonics, etc.) must be assumed for those orientation elements. In order to investigate image and object point coordinate deformations, and to perform space resection utilizing the method of least squares, it is desirable to generate linear approximations for these collinearity equations. The technique presented for this linearization utilizes a Taylor's series expansion about some approximations for the variables involved. The functions assumed to approximate the dynamic nature of the orientation elements are included in the linearization through the use of matrix premultipliers. The resulting linearized form of analytic expressions may be used to analyze the geometric aspects of scanned imagery.
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Published In
Journal of the Surveying and Mapping Division
Volume 103 • Issue 1 • September 1977
Pages: 25 - 35
Copyright
© 1977 American Society of Civil Engineers.
History
Published in print: Sep 1977
Published online: Feb 12, 2021
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Authors
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James R. Baker, AM.ASCE
Assoc. Prof. of Engrg., Fort Lewis Coll., Durango, Colo.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.