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A Rational Function Model Refining Method Using Compressive Sampling

Published: 10 July 2014 Publication History

Abstract

The rational function model (RFM) is a widely used imaging geometry model in the geometric correction of remote sensing image. The RFM refining methods can improve the performance of RFM by refining RFM coefficients(RCPs) or compensating the residual errors caused by the inaccuracy of RCPs. However, it's difficult for traditional RFM refining methods to correct high frequency errors. This paper presents a new RFM refining method using compressive sampling to operate for high frequency distortion, called RFM-CS. This method is based on the idea that the residual errors of images can be regarded as 2-dimensional signals which are compressible. By using the technique of compressive sampling, the residual errors of the whole image can be reconstructed and compensated. The experiment results show that RFM-CS outperforms traditional RFM refining methods when there are high frequency errors.

References

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Wang, J. H., Ge, Y., Heuvelink, G. B., Zhou, C. H., and Brus, D. J.(2012), Effect of the sampling design of ground control points on the geometric correction of remotely sensed imagery, International Journal of Applied Earth Observation and Geoinformation, 18, 1(Jan. 2012), 91--100.
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Toutin, T. 2004.Review article: geometric processing of remote sensing images: models, algorithms and methods, International Journal of Remote Sensing. 25, 10(May. 2004), 1893--1924.
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Hu, Y., Tao, V., and Croitoru, V. 2004. Understanding the rational function model: methods and applications. In International Archives of Photogrammetry and Remote Sensing (Istanbul, Turkey, April 01 - 06, 2004), 119--124.
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Grodecki, J., Dial, G., 2003. Block adjustment of high-resolution satellite images described by rational functions, Photogrammetric Engineering & Remote Sensing, 69, 1(Jan, 2003), 59--68.
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Tao, V., Hu, Y., 2002. 3-D reconstruction algorithms based on the rational function model, Photogrammetric Engineering & Remote Sensing, 68, 7(Jul 2002), 705--714.
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Clive, S. F., and Harry, B. H., 2005. Bias-compensated RPCs for Sensor Orientation of High-resolution Satellite Imagery. Photogrammetric Engineering & Remote Sensing. 71, 8(Aug. 2005), 909--915.
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Hu, C. H., Yan, C. X., and Shao, J. B. 2013. Pointing Mirror Low Frequency Sine Oscillation Induced Remote Sensor Image Distortion and Correction. ACTA OPTICA SINIC. 33, 4(Apr, 2013), 0428002-(1-6)
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      ICIMCS '14: Proceedings of International Conference on Internet Multimedia Computing and Service
      July 2014
      430 pages
      ISBN:9781450328104
      DOI:10.1145/2632856
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

      In-Cooperation

      • NSF of China: National Natural Science Foundation of China
      • Beijing ACM SIGMM Chapter

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      Association for Computing Machinery

      New York, NY, United States

      Publication History

      Published: 10 July 2014

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      Author Tags

      1. Compressive sampling
      2. Geometric correction
      3. RFM refining method
      4. Rational function model(RFM)
      5. Sparse representation

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