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Original Articles

Error estimation in reconstruction of quadratic curves in 3D space

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Pages 121-132 | Received 03 May 2006, Accepted 29 Nov 2006, Published online: 29 Mar 2007

References

  • 2006 wwww.channel4.com/sport/cricket/analyst/hawkeye/about.htmlchannel4.com/sport/cricket/analyst/hawkeye/about.html (accessed 21 November
  • Xie , M. and Thonnat , M. 1996 . A theory of 3-D reconstruction of heterogenous edge primitives from two perspective views . ECCV , : 715 – 719 .
  • Xie , M. 1994 . On 3-D reconstruction strategy: a case of conics . ICPR(A) , : 665 – 667 .
  • Balasubramanian , R. , Sukhendu , D. and Swaminathan , K. 2002 . Reconstruction of quadratic curves in 3-D from two or more perspective views . Mathematical Problems in Engineering , 8 : 207 – 219 .
  • Kahl , F. and Heyden , A. 1998 . Using conic correspondences in two images to estimate the epipolar geometry . Proceedings of the International Conference on Computer Vision , : 761 – 766 .
  • Quan , L. 1996 . Conic reconstruction and correspondence from two views . IEEE Transactions on Pattern Analysis and Machine Intelligence , 18 : 151 – 160 .
  • Safee , R. R. , Tchoukanov , I. , Benhabib , B. and Smith , K. C. 1992 . 3-D pose estimation from a quadratic curved feature in two perspective views . Proceedings of the 11th International Conference on Pattern Recognition , : 341 – 344 .
  • Shukla , A. , Saxena , A. , Neekra , B. , Balasubramanian , R. and Swaminathan , K. Error analysis in the reconstruction of a 3D parabola from two arbitrary perspective views . January 16–20 2005 , San Jose, California, USA. Proceedings of the SPIE Vision Geometry XIII IS&T/SPIE International Symposium on Electronic Imaging , Vol. 5675 , pp. 41 – 50 .
  • Balasubramanian , R. , Sukhendu , D. and Swaminathan , K. 1999 . Analytical formulations for reconstruction of a line in 3-D space from two arbitrary perspective views . Proceedings of the Satellite Conference on Image Analysis in Materials and Life Sciences , : 17 – 22 .
  • Balasubramanian , R. , Sukhendu , D. and Swaminathan , K. 2000 . Simulation studies for the performance analysis of the reconstruction of a line using stereoscopic projections . Proceedings of the Indian Conference on Computer Vision, Graphics and Image Processing (ICVGIP- , : 338 – 344 .
  • Balasubramanian , R. , Sukhendu , D. and Swaminathan , K. 2003 . Simulation studies for the performance analysis of the reconstruction of a line in 3-D from two arbitrary perspective views using two plane intersection method . International Journal of Computer Mathematics , 80 : 559 – 571 .
  • Kanatani , K. and Liu , W. 1993 . 3-D interpretation of conics and orthogonality . Computer Vision, Graphics and Image Processing , 58 : 286 – 301 .
  • Kumar , S. , Sukavanam , N. and Balasubramanian , R. Reconstruction of quadratic curves in 3-D using two or more perspective views: simulation studies . January 15–19 , San Jose, California, USA. Proceedings of the SPIE Vision Geometry XIII IS&T/SPIE International Symposium on Electronic Imaging , Vol. 6066 , pp. 182 – 191 .
  • Balasubramanian , R. , Sukhendu , D. and Swaminathan , K. 2002 . Quantization error in stereo imaging systems . International Journal of Computer Mathematics , 79 : 671 – 691 .

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