Rational Function Models, Rational Polynomial Coefficients, Camera Specification

Chapter Contents (Back)
Rational Function. Rational Polynomial. RPC. RFM.

Di, K.C.[Kai-Chang], Ma, R.J.[Rui-Jin], Li, R.[Ron],
Rational Functions and Potential for Rigorous Sensor Model Recovery,
PhEngRS(69), No. 1, January 2003, pp. 33-42. After improving 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.
WWW Link. 0304

Tao, C.V.[C. Vincent], Hu, Y.[Yong], Jiang, W.,
Photogrammetric exploitation of Ikonos imagery for mapping applications,
JRS(25), No. 14, 2004, 2833-2853.
PDF File. BibRef 0400

Tao, C.V.[C. Vincent], Hu, Y.[Yong],
3D reconstruction methods based on the rational function model,
PhEngRS(68), No. 7, July 2002, pp. 705-714.
PDF File. BibRef 0207

Tao, C.V.[C. Vincent], Hu, Y.[Yong],
Updating solutions of the rational function model using additional control information,
PhEngRS(68), No. 7, July 2002, pp. 715-724.
PDF File. BibRef 0207

Tao, C.V.[C. Vincent], Hu, Y.[Yong],
Use of the rational function model for imagery rectification,
CanRS(27), No. 6, 2001, pp. 593-602.
PDF File. BibRef 0100

Tao, C.V.[C. Vincent], Hu, Y.[Yong],
The rational function model: A Tool for Processing High-Resolution Imagery,
EOMag(10), No. 1, 2001, pp. 13-16.
PDF File. BibRef 0100

Tao, C.V.[C. Vincent], Hu, Y.[Yong],
A Comprehensive Study of the Rational Function Model for Photogrammetric Processing,
PhEngRS(67), No. 12, December 2001, pp. 1347-1357. RPC discussion.
PDF File. BibRef 0112

Grodecki, J.F.[Jacek Franciszek], Dial, Jr., O.E.[Oliver Eugene], Grodecki, J.[Jacek], Dial, G.[Gene],
Block Adjustment of High-Resolution Satellite Images Described by Rational Functions,
PhEngRS(69), No. 1, January 2003, pp. 59-70. For Ikonos satellite imagery, the Rational Polynomial Coefficient (RPC) block adjustment achieves the same accuracy as the ground station block adjustment with the full physical camera model.
WWW Link. 0304

Fraser, C.S.[Clive S.], Dial, G.[Gene], Grodecki, J.[Jacek],
Sensor orientation via RPCs,
PandRS(60), No. 3, May 2006, pp. 182-194.
Elsevier DOI 0610
High resolution; Satellite; Imagery; Orientation BibRef

Fraser, C.S.[Clive S.], Hanley, H.B.[Harry B.],
Bias-compensated RPCs for Sensor Orientation of High-resolution Satellite Imagery,
PhEngRS(71), No. 8, August 2005, pp. 909-916.
WWW Link. 0602
A bias-compensated RCP bundle adjustment is shown to produce sub-pixel accuracy geopositioning from Ikonos and Quickbird stereo imagery. BibRef

Fraser, C.S., Yamakawa, T.,
Insights into the affine model for high-resolution satellite sensor orientation,
PandRS(58), No. 5-6, July 2004, pp. 275-288.
Elsevier DOI 0411

Chen, L.C.[Liang-Chien], Teo, T.A.[Tee-Ann], Liu, C.L.[Chien-Liang],
The Geometrical Comparisons of RSM and RFM for FORMOSAT-2 Satellite Images,
PhEngRS(72), No. 5, May 2006, pp. 573-580.
WWW Link. 0610
A comparison of the geometric performances between the RSM (rigorous sensor model) and RFM (rational function model) for FORMOSAT-2 satellite images. RFM well behaved, similar positioning errors.o BibRef

Chen, L.C.[Liang-Chien], Chang, W.C.[Wen-Chi], Teo, T.A.[Tee-Ann],
Geometric Integration of Heterogeneous Models for Multisatellite Image Positioning,
GeoRS(50), No. 7, July 2012, pp. 2802-2809.

Chen, L.C.[Liang-Chien], Teo, T.A.[Tee-Ann], Lo, C.Y.[Chao-Yuan],
Elevation-Controlled Block Adjustment for Weakly Convergent Satellite Images,
ISPRS08(B1: 761 ff).
PDF File. 0807

Aguilar, M.A.[Manuel A.], Aguilar, F.J.[Fernando J.], Agüera, F.[Francisco], Sánchez, J.A.[Jaime A.],
Geometric Accuracy Assessment of QuickBird Basic Imagery Using Different Operational Approaches,
PhEngRS(73), No. 12, December 2007, pp. 1321-1332.
WWW Link. 0712
Geometric correction using rational functions and rigorous sensor models, and orthorectification with different DEMs of the QuickBird basic imagery for mapping applications. BibRef

Xiong, Z.[Zhen], Zhang, Y.[Yun],
A Generic Method for RPC Refinement Using Ground Control Information,
PhEngRS(75), No. 9, September 2009, pp. 1083-1092.
WWW Link. 0910
A newly developed Generic method for Rational Polynomial Coefficient refinement focusing on a comparison between the Bias Compensation method. BibRef

Tong, X.H.[Xiao-Hua], Liu, S.J.[Shi-Jie], Weng, Q.H.[Qi-Hao],
Bias-corrected rational polynomial coefficients for high accuracy geo-positioning of QuickBird stereo imagery,
PandRS(65), No. 2, March 2010, pp. 218-226.
Elsevier DOI 1003
QuickBird; Rational polynomial coefficient; Bias correction; Geo-positioning accuracy BibRef

Xiong, Z., Zhang, Y.,
Bundle Adjustment With Rational Polynomial Camera Models Based on Generic Method,
GeoRS(49), No. 1, January 2011, pp. 190-202.

Zhang, L.[Lu], Balz, T.[Timo], Liao, M.S.[Ming-Sheng],
Satellite SAR geocoding with refined RPC model,
PandRS(69), No. 1, April 2012, pp. 37-49.
Elsevier DOI 1202
SAR geocoding; Range-Doppler; Rational Polynomial Camera; SAR simulation; Image matching BibRef

Oh, J.[Jaehong], Lee, C.[Changno],
Automated bias-compensation of rational polynomial coefficients of high resolution satellite imagery based on topographic maps,
PandRS(100), No. 1, 2015, pp. 14-22.
Elsevier DOI 1502
High-resolution satellite imagery RPC descriptions. BibRef

Jiang, Y., Zhang, G., Chen, P., Li, D., Tang, X., Huang, W.,
Systematic Error Compensation Based on a Rational Function Model for Ziyuan1-02C,
GeoRS(53), No. 7, July 2015, pp. 3985-3995.
RFM analysis for a particular sensor. Accuracy BibRef

Long, T.F.[Teng-Fei], Jiao, W.[Weili], He, G.J.[Guo-Jin],
RPC Estimation via L_1-Norm-Regularized Least Squares (L1LS),
GeoRS(53), No. 8, August 2015, pp. 4554-4567.
least squares approximations BibRef

Huang, W.C., Zhang, G., Li, D.,
Robust Approach for Recovery of Rigorous Sensor Model Using Rational Function Model,
GeoRS(54), No. 7, July 2016, pp. 4355-4361.
Charge coupled devices BibRef

Shen, X.[Xiang], Liu, B.[Bin], Li, Q.Q.[Qing-Quan],
Correcting bias in the rational polynomial coefficients of satellite imagery using thin-plate smoothing splines,
PandRS(125), No. 1, 2017, pp. 125-131.
Elsevier DOI 1703
Rational function model BibRef

Shen, X.[Xiang], Li, Q.Q.[Qing-Quan], Wu, G.F.[Guo-Feng], Zhu, J.S.[Jia-Song],
Bias Compensation for Rational Polynomial Coefficients of High-Resolution Satellite Imagery by Local Polynomial Modeling,
RS(9), No. 3, 2017, pp. xx-yy.
DOI Link 1704

Jannati, M.[Mojtaba], Zoej, M.J.V.[Mohammad Javad Valadan], Mokhtarzade, M.[Mehdi],
A Knowledge-Based Search Strategy for Optimally Structuring the Terrain Dependent Rational Function Models,
RS(9), No. 4, 2017, pp. xx-yy.
DOI Link 1705

Li, P.F.[Peng-Fei], Sun, K.[Kaimin], Li, D.R.[De-Ren], Sui, H.G.[Hai-Gang], Zhang, Y.[Yong],
An Emergency Georeferencing Framework for GF-4 Imagery Based on GCP Prediction and Dynamic RPC Refinement,
RS(9), No. 10, 2017, pp. xx-yy.
DOI Link 1711

Noh, M.J.[Myoung-Jong], Howat, I.M.[Ian M.],
Automatic relative RPC image model bias compensation through hierarchical image matching for improving DEM quality,
PandRS(136), 2018, pp. 120-133.
Elsevier DOI 1802
RPCs bias, Compensation, Image matching, Arctic and Antarctic BibRef

Xu, K.[Kai], Zhang, G.[Guo], Zhang, Q.J.[Qing-Jun], Li, D.R.[De-Ren],
Calculating Viewing Angles Pixel by Pixel in Optical Remote Sensing Satellite Imagery Using the Rational Function Model,
RS(10), No. 3, 2018, pp. xx-yy.
DOI Link 1804

Moghaddam, S.H.A.[Sayyed Hamed Alizadeh], Mokhtarzade, M.[Mehdi], Naeini, A.A.[Amin Alizadeh], Amiri-Simkooei, A.[Ali_Reza],
A Statistical Variable Selection Solution for RFM Ill-Posedness and Overparameterization Problems,
GeoRS(56), No. 7, July 2018, pp. 3990-4001.
geophysical image processing, geophysical techniques, particle swarm optimisation, polynomials, rational functions, statistical solution BibRef

Gholinejad, S.[Saeid], Amiri-Simkooei, A.[Alireza], Alizadeh Moghaddam, S.H.[Sayyed Hamed], Alizadeh Naeini, A.[Amin],
An automated PCA-based approach towards optimization of the rational function model,
PandRS(165), 2020, pp. 133-139.
Elsevier DOI 2006
Rational function model, Principal component analysis, Noise reduction, Thresholding ridge ratio BibRef

Li, Q.Y.[Qing-Yang], Zhong, R.F.[Ruo-Fei], Yang, C.[Cankun], Zhao, K.[Ke], Zhang, C.C.[Chen-Chen], Li, Y.[Yue],
Geometric Quality Improvement Method of Optical Remote Sensing Satellite Images Based on Rational Function Model,
RS(14), No. 18, 2022, pp. xx-yy.
DOI Link 2209

Shan, X.J.[Xiao-Jun], Zhang, J.Y.[Jing-Yi],
Does the Rational Function Model's Accuracy for GF1 and GF6 WFV Images Satisfy Practical Requirements?,
RS(15), No. 11, 2023, pp. 2820.
DOI Link 2306

Trager, M., Sturmfels, B., Canny, J., Hebert, M., Ponce, J.,
General Models for Rational Cameras and the Case of Two-Slit Projections,
Cameras, Geometry, Orbits, Retina, Visualization BibRef

Topan, H., Taskanat, T., Cam, A.,
Georeferencing Accuracy Assessment of Pléiades 1A Images Using Rational Function Model,
DOI Link 1402

Yavari, S., Zoej, M.J.V., Mokhtarzade, M., Mohammadzadeh, A.,
Comparison Of Particle Swarm Optimization And Genetic Algorithm In Rational Function Model Optimization,
DOI Link 1209

Samadzadegan, F., Ramzi, P., Abootalebi, A.,
Capability Assessment of High Resolution Satellite Imagery for 3D Reconstruction Using RPC Parameters,
ISPRS08(B1: 889 ff).
PDF File. 0807

Liu, S.J., Tong, X.H.,
Transformation between Rational Function Model and Rigorous Sensor Model for High Resolution Satellite Imagery,
ISPRS08(B1: 873 ff).
PDF File. 0807

Singh, S.K.[Sanjay K.], Naidu, S.D.[S. Devakanth], Srinivasan, T.P., Krishna, B.G.[B. Gopala], Srivastava, P.K.,
Rational Polynomial Modelling for CARTOSAT-1 data,
ISPRS08(B1: 885 ff).
PDF File. 0807

Lin, X.Y.[Xian-Yong], Yuan, X.X.[Xiu-Xiao],
Improvement of the Stability Solving Rational Polynomial Coefficients,
ISPRS08(B1: 711 ff).
PDF File. 0807

Claus, D.[David], Fitzgibbon, A.W.[Andrew W.],
A Rational Function Lens Distortion Model for General Cameras,
CVPR05(I: 213-219).
A Plumbline Constraint for the Rational Function Lens Distortion Model,
HTML Version. 0509

Kim, H.J.[Hye Jin], Kim, D.S.[Dae Sung], Lee, H.S.[Hyo Sung], Kim, Y.I.[Yong Il],
A Study on the Generation of the KOMPSAT-1 RPC Model,
PCV02(B: 112). 0305

Hartley, R.I.[Richard I.], Saxena, T.[Tushar],
The Cubic Rational Polynomial Camera Model,
DARPA97(649-654). BibRef 9700

Chapter on Active Vision, Camera Calibration, Mobile Robots, Navigation, Road Following continues in
Camera Calibration, Stereo .

Last update:Jun 5, 2024 at 10:22:22