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Home / Photogrammetric Engineering & Remote Sensing, Number 1 / January 2003

Open Access Rational Functions and Potential for Rigorous Sensor Model Recovery

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Rational functions (RFs) have been applied in photogrammetry and remote sensing to represent the transformation between the image space and object space whenever the rigorous model is made unavailable intentionally or unintentionally. It attracts more attention now because Ikonos high-resolution images are being released to users with only RF coefficients. This paper briefly introduces the RF for photogrammetric processing. Equations of space intersection with upward RF are derived. The computational experimental result with one-meter resolution Ikonos Geo stereo images and other airborne data verified the accuracy of the upward RF-based space intersection. We demonstrated different ways to improve the geopositioning accuracy of Ikonos Geo stereo imagery with ground control points by either refining the vendor-provided Ikonos RF coefficients or refining the RF-derived ground coordinates. The accuracy of 3D ground point determination was improved to 1 to 2 meters after the refinement. Finally, we showed the potential for recovering sensor models of a frame image and a linear array image from the RF.

Document Type: Research Article

Publication date: 01 January 2003

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  • The official journal of the American Society for Photogrammetry and Remote Sensing - the Imaging and Geospatial Information Society (ASPRS). This highly respected publication covers all facets of photogrammetry and remote sensing methods and technologies.

    Founded in 1934, the American Society for Photogrammetry and Remote Sensing (ASPRS) is a scientific association serving over 7,000 professional members around the world. Our mission is to advance knowledge and improve understanding of mapping sciences to promote the responsible applications of photogrammetry, remote sensing, geographic information systems (GIS), and supporting technologies.
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