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High-Precision Lens Distortion Correction Using Smoothed Thin Plate Splines

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Computer Analysis of Images and Patterns (CAIP 2013)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 8048))

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Abstract

Lens distortion and its modelling is an important factor for the calibration of optical cameras. Most calibration algorithms include a distortion model to cope with the discrepancy to a pinhole camera model induced by the camera lenses. However, for high-precision calibration sophisticated distortion models have to be used and their often numerous parameters have to be determined during calibration. In this work we present a simple, nonparametric method based on smoothed thin plate splines for correcting the lens distortion with a very high precision.

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References

  1. Devernay, F.: A Non-Maxima Suppression Method for Edge Detection with Sub-Pixel Accuracy. INRIA Research Rep. 2724 (1995)

    Google Scholar 

  2. Devernay, F., Faugeras, O.: Straight lines have to be straight: automatic calibration and removal of distortion from scenes of structured enviroments. Mach. Vision Appl., 14–24 (2001)

    Google Scholar 

  3. Duchon, J.: Splines minimizing rotation-invariant semi-norms in Sobolev spaces. Lecture Notes in Mathematics, vol. 571, pp. 85–100 (1977)

    Google Scholar 

  4. Claus, D., Fitzgibbon, A.-W.: A Rational Function Lens Distortion Model for General Cameras. In: Proc. IEEE Conf. on Comp. Vis. and Pattern Rec., pp. 213–219 (2005)

    Google Scholar 

  5. Grompone von Gioi, R., Monasse, P., Morel, J.-M., Tang, Z.: Towards high-precision lens distortion correction. In: 17th IEEE Int. Conf. on Im. Proc., pp. 4237–4240 (2010)

    Google Scholar 

  6. Grompone von Gioi, R., Monasse, P., Morel, J.-M., Tang, Z.: Lens distortion correction with a calibration harp. In: Proc. 18th Int. Conf. on Im. Proc., pp. 617–620 (2011)

    Google Scholar 

  7. Goshtasby, A.: Correction of image deformation from lens distortion using bezier patches. Comput. Vision Graph. Image Process. 47, 385–399 (1989)

    Article  Google Scholar 

  8. Ma, L., Chen, Y.Q., Moore, K.L.: Analytical piecewise radial distortion model for precision camera calibration. Proc. on Vis., Im. and Sign. 153, 468–474 (2006)

    Article  Google Scholar 

  9. Mallon, J., Whelan, P.F.: Which pattern? Biasing aspects of planar calibration patterns and detection methods. Pattern Recognition Letters 28, 921–930 (2007)

    Article  Google Scholar 

  10. Mühlich, M., Aach, T.: High accuracy feature detection for camera calibration: a multi-steerable approach. In: Proc. of 29th DAGM conf. on Pattern rec., pp. 284–293 (2007)

    Google Scholar 

  11. Schaefer, S., McPhail, T., Warren, J.: Image deformation using moving least squares. ACM Trans. Graph. 25, 533–540 (2006)

    Article  Google Scholar 

  12. Sun, W., Zhou, W., Yang, M.: Non-rigid registration of medical images with scale-space corner detection and thin-plate spline. Biomed. Sign. Proc. 7, 599–605 (2012)

    Article  Google Scholar 

  13. Wahba, G.: Spline models for observational data. In: Soc. for Ind. and App. Math. CBMS-NSF Reg. Conf. Series in App. Math (SIAM), vol. 59 (1990)

    Google Scholar 

  14. Zhang, Z.: A Flexible New Technique for Camera Calibration. IEEE Trans. Pattern Anal. Mach. Intell. 22, 1330–1334 (2000)

    Article  Google Scholar 

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© 2013 Springer-Verlag Berlin Heidelberg

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Schmid, S., Jiang, X., Schäfers, K. (2013). High-Precision Lens Distortion Correction Using Smoothed Thin Plate Splines. In: Wilson, R., Hancock, E., Bors, A., Smith, W. (eds) Computer Analysis of Images and Patterns. CAIP 2013. Lecture Notes in Computer Science, vol 8048. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40246-3_54

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  • DOI: https://doi.org/10.1007/978-3-642-40246-3_54

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40245-6

  • Online ISBN: 978-3-642-40246-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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