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Evaluation of Rational Function Model for High-Resolution KOMPSAT-5 SAR Imagery with Different Sizes of Virtual Grid and Reference Coordinate Systems

  • Surveying and Geo-Spatial Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

When a new spaceborne imaging mission is launched and operated, the generation of the rational function model (RFM), which simplifies the geometric relationship between the ground targets and image coordinates, is one of the important mechanisms to unify the image data with the other geospatial datasets. In this paper, the performance of the generated RFM for the KOMPSAT-5 satellite imagery was evaluated. High-resolution KOMPSAT-5 images whose spatial resolutions are about 1 meter were used for the experiments. During the RFM generation process, the general least squares adjustment and the Tikhonov regularization with the L-curve optimization were applied to initialize and optimize the RFM coefficients. From the physical sensor model for KOMPSAT-5, virtual grids were created and utilized as the control points for generating the RFM. Furthermore, appropriate sizes of virtual grids and the number of elevation layers were proposed. As a result of the experiments, an RFM having a precision better than 10−9 pixels could be generated from a virtual grid of 10 × 10 × 5. Moreover, the reference coordinate system of the control points did not significantly affect the performance of the RFM generation process.

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References

  • Calvetti, D., Morigi, S., Reichel, L., and Sgallari, F. (2000). “Tikhonov regularization and the L-curve for large discrete ill-posed problems.” Journal of Computational and Applied Mathematics, Vol. 123, No. 1, pp. 423–446, DOI: 10.1016/S0377-0427(00)00414-3.

    Article  MathSciNet  MATH  Google Scholar 

  • Curlander, J. C. (1984). “Utilization of Spaceborne SAR Datafor Mapping.” IEEE Transactions on Geoscience and Remote Sensing, Vol. 22, No. 2, pp. 106–112, DOI: 10.1109/TGRS.1984.350601.

    Article  Google Scholar 

  • Eftekhari, A., Saadatseresht, M., and Motagh, M. (2013). “A study on rational function model generation for TerraSAR-X imagery.” Sensors, Vol. 13, No. 9, pp. 12030–12043, DOI: 10.3390/s130912030.

    Article  Google Scholar 

  • Eineder, M., Fritz, T., Mittermayer, J., Roth, A., Boerner, E., and Breit, H. (2008). TerraSAR-X ground segment, basic product specification document, No. TX-GS-DD-3302, Cluster Applied Remote Sensing (CAF), Bavaria, Germany.

    Google Scholar 

  • Eineder, M., Minet, C., Steigenberger, P., Cong, X., and Fritz, T. (2011). “Imaging geodesy—Toward centimeter-level ranging accuracy with TerraSAR-X.” IEEE Transactions on Geoscience and Remote Sensing, Vol. 49, No. 2, pp. 661–671, DOI: 10.1109/TGRS.2010.2060264.

    Article  Google Scholar 

  • Fraser, C. S. and Hanley, H. B. (2005). “Bias-compensated RPCs for sensor orientation of high-resolution satellite imagery.” Photogrammetric Engineering & Remote Sensing, Vol. 71, No. 8, pp. 909–915, DOI: 10.14358/PERS.71.8.909.

    Article  Google Scholar 

  • Grodecki, J. and Dial, G. (2003). “Block adjustment of high-resolution satellite images described by rational polynomials.” Photogrammetric Engineering & Remote Sensing, Vol. 69, No. 1, pp. 59–68, DOI: 10.14358/PERS.69.1.59.

    Article  Google Scholar 

  • Habib, A., Shin, S. W., Kim, K., Kim, C., Bang, K. I., Kim, E. M., and Lee, D. C. (2007). “Comprehensive analysis of sensor modeling alternatives for high resolution imaging satellites.” Photogrammetric Engineering & Remote Sensing, Vol. 73, No. 11, pp. 1241–1251, DOI: 10.14358/PERS.73.11.1241.

    Article  Google Scholar 

  • Hansen, P. C. and O’Leary, D. P. (1993). “The use of the L-curve in the regularization of discrete ill-posed problems.” SIAM Journal on Scientific Computing, Vol. 14, No. 6, pp. 1487–1503, DOI: 10.1137/0914086.

    Article  MathSciNet  MATH  Google Scholar 

  • Hong, S., Choi, Y., Park, I., and Sohn, H. G. (2017). “Comparison of orbit-based and time-offset-based geometric correction models for SAR satellite imagery based on error simulation.” Sensors, Vol. 17, No. 1, pp. 1–14, DOI: 10.3390/s17010170.

    Article  Google Scholar 

  • Hong, S., Jang, H., Kim, N., and Sohn, H. G. (2015). “Water area extraction using RADARSAT SAR imagery combined with landsat imagery and terrain information.” Sensors, Vol. 15, No. 3, pp. 6652–6667, DOI: 10.3390/s150306652.

    Article  Google Scholar 

  • Hu, Y., Tao, V., and Croitoru, A. (2004). “Understanding the rational function model: Methods and applications.” International Archives of Photogrammetry and Remote Sensing, Vol. 20, No. 6, pp. 119–124.

    Google Scholar 

  • Hwang, Y., Lee, B. S., Kim, Y. R., Roh, K. M., Jung, O. C., and Kim, H. (2011). “GPS-based orbit determination for KOMPSAT-5 satellite.” ETRI Journal, Vol. 33, No. 4, pp. 487–496, DOI: 10.4218/etrij.11.1610.0048.

    Article  Google Scholar 

  • Kaichang, D., Ruijin, M., and Rong Xing, L. (2003). “Rational functions and potential for rigorous sensor model recovery.” Photogrammetric Engineering & Remote Sensing, Vol. 69, No. 1, pp. 33–41, DOI: 10.14358/PERS.69.1.33.

    Article  Google Scholar 

  • Li, R., Zhou, F., Niu, X., and Di, K. (2007). “Integration of ikonos and QuickBird imagery for geopositioning accuracy analysis.” Photogrammetric Engineering and Remote Sensing, Vol. 73, No. 9, pp. 1067–1074.

    Google Scholar 

  • Mikhail, E. M. and Ackermann, F. E. (1976). Observations and least squares, IEP Don-Donnelley, New York, USA, pp. 333–359.

    Google Scholar 

  • RADARSAT International (2004). RADARSAT-1 data products specifications, RSI-GS-026, RADARSAT International, Quebec, Canada.

    Google Scholar 

  • Schreier, G. (1993). SAR geocoding: Data and Systems, Wichmann, Berlin, Germary.

    Google Scholar 

  • SI Imaging Services (2019). KOMPSAT-5: Imaging mode. KOMPSAT Series, http://www.si-imaging.com/products/#1478507064219-34e51d03-67d9 [Accessed on April 1, 2019].

    Google Scholar 

  • Sohn, H. G., Park, C. H., and Yu, H. U. (2003). “Application of rational function model to satellite images with the correlation analysis.” KSCE Journal of Civil Engineering, KSCE, Vol. 7, No. 5, pp. 585–593, DOI: 10.1007/BF02838321.

    Article  Google Scholar 

  • Song, Y. S. (2005). Flooded area analysis using remotely sensed data and GSIS in mountainous area, PhD Thesis, Yonsei University, Seoul, Korea.

    Google Scholar 

  • Srivastava, S., Banik, B., Le Dantec, P., Hawkins, R., and Murnaghan, K. (2001). “RADARSAT-1 Image quality–A mission success.” Proc. of CEOS SAR Workshop, Tokyo, Japan, pp. 2–5.

    Google Scholar 

  • Tao, C. V. and Hu, Y. (2001a). “A comprehensive study of the rational function model for photogrammetric processing.” Photogrammetric Engineering and Remote Sensing, Vol. 67, No. 12, pp. 1347–1358.

    Google Scholar 

  • Tao, C. V. and Hu, Y. (2001b). “Use of the rational function model for image rectification.” Canadian Journal of Remote Sensing, Vol. 27, No. 6, pp. 593–602, DOI: 10.1080/07038992.2001.10854900.

    Article  Google Scholar 

  • Tao, C. V., Hu, Y., and Jiang, W. (2004). “Photogrammetric exploitation of IKONOS imagery for mapping applications.” International Journal of Remote Sensing, Vol. 25, No. 14, pp. 2833–2853, DOI: 10.1080/01431160310001618392.

    Article  Google Scholar 

  • Tao, C. V. and Yong, H. (2002). “3D reconstruction methods based on the rational function model.” Photogrammetric Engineering and Remote Sensing, Vol. 68, No. 7, pp. 705–714.

    Google Scholar 

  • Tikhonov, A. N., Arsenin, V. Y., and John, F. (1977). Solutions of illposed problems. Winston, Washington, D.C., USA.

    Google Scholar 

  • Toutin, T. (2004). “Review article: Geometric processing of remote sensing images: Models, algorithms and methods.” International Journal of Remote Sensing, Vol. 25, No. 10, pp. 1893–1924, DOI: 10.1080/0143116031000101611.

    Article  Google Scholar 

  • Toutin, T. (2006). “Comparison of 3D physical and empirical models for generating DSMs from stereo HR images.” Photogrammetric Engineering & Remote Sensing, Vol. 72, No. 5, pp. 597–604, DOI: 10.14358/PERS.72.5.597.

    Article  Google Scholar 

  • Yoon, Y. T., Eineder, M., Yague-Martinez, N., and Montenbruck, O. (2009). “TerraSAR-X precise trajectory estimation and quality assessment.” IEEE Transactions on Geoscience and Remote Sensing, Vol. 47, No. 6, pp. 1859–1868, DOI: 10.1109/TGRS.2008.2006983.

    Article  Google Scholar 

  • Yoon, J., Keum, J., Shin, J., Kim, J., Lee, S., Bauleo, A., Farina, C., Germani, C., Mappini, M., and Venturini, R. (2011). “KOMPSAT-5 SAR design and performance.” 3rd International Asia-Pacific Conference on Synthetic Aperture Radar (APSAR), IEEE, New Jersey, US, pp. 1–4.

    Google Scholar 

  • Zack, G. W., Rogers, W. E., and Latt, S. A. (1977). “Automatic measurement of sister chromatid exchange frequency.” Journal of Histochemistry & Cytochemistry, Vol. 25, No. 7, pp. 741–753.

    Article  Google Scholar 

  • Zhang, L., He, X., Balz, T., Wei, X., and Liao, M. (2011). “Rational function modeling for spaceborne SAR datasets.” ISPRS Journal of Photogrammetry and Remote Sensing, Vol. 66, No. 1, pp. 133–145, DOI: 10.1016/j.isprsjprs.2010.10.007

    Article  Google Scholar 

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Acknowledgements

This work was supported by DAPA (Defense Acquisition Program Administration) and ADD (Agency for Defense Development).

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Authors and Affiliations

  1. Stryx Inc., Seoul, 04003, Korea

    Seunghwan Hong & Ilsuk Park

  2. School of Civil and Environmental Engineering, Yonsei University, Seoul, 03722, Korea

    Yoonjo Choi & Hong-Gyoo Sohn

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  1. Seunghwan Hong
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  2. Yoonjo Choi
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  3. Ilsuk Park
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  4. Hong-Gyoo Sohn
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Correspondence to Hong-Gyoo Sohn.

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Hong, S., Choi, Y., Park, I. et al. Evaluation of Rational Function Model for High-Resolution KOMPSAT-5 SAR Imagery with Different Sizes of Virtual Grid and Reference Coordinate Systems. KSCE J Civ Eng 23, 4113–4123 (2019). https://doi.org/10.1007/s12205-019-0831-6

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  • DOI: https://doi.org/10.1007/s12205-019-0831-6

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