Contours, Textures, Homography and Fourier Domain

Objective

The aim of this study is to come up with a Fourier representation of contours and then utilise it to estimate two view relationships like homography and also come up with novel invariants. Ordering in Contours is a very important geometrical information which had been given very less attention till now. We have proposed novel representation for contour sequences in transform domain which helps us exploit the ordering information. This representation was also extended to build affine invariants which could be used in computer vision problems.

A similar transform domain relationship was developed for textures in images. This was used in estimation of homography.

Contributions

Some of the major contributions of this study are ::

  • Fourier representation of contours.
  • Development of invariants which were demonstrated to be useful in planar shape recognition.
  • Algorithms for homography estimation from textures and contours.
  • Use of invariants to build a polygonal approximation of contours which was used for homography estimation.
  • Successful estimation of geometric relationships like homography and measures like invariants with higher order primitives like contours and conics.
  • Alegraic constratints on a moving point configuration were developed.

 

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Related Publications

  • Paresh Kumar Jain and C.V. Jawahar - Homography Estimation from Planar Contours, Third International Symposium on 3D Data Processing, Visualization and Transmission North Carolina, Chappel Hill, June 14-16, 2006. [PDF]

  • M. Pawan Kumar, Saurabh Goyal, Sujit Kuthirummal, C. V. Jawahar and P. J. Narayanan - Discrete Contours in Multiple Views: Approximation and Recognition Journal of Image and Vision Computin, Vol. 22, No. 14, December 2004, pp. 1229--1239. [PDF]

  • M. Pawan Kumar, Sujit Kuthirummal, C. V. Jawahar and P. J. Narayanan - Planar Homography from Fourier Domain Representation, Proceedings of the International Conference on Signal Processing and Communications(SPCOM), Dec. 2004, Bangalore, India. [PDF]

  • M. Pawan Kumar, C. V. Jawahar and P. J. Narayanan, Geometric Structure Computation from Conics, Proceedings of the Indian Conference on Vision, Graphics and Image Processing(ICVGIP), Dec. 2004, Calcutta, India, pp. 9-14. [PDF]

  • M. Pawan Kumar, C. V. Jawahar and P. J. Narayanan, Building Blocks for Autonomous Navigation using Contour Correspondences, Proceedings of the International Conference on Image Processing(ICIP), Oct. 2004, Singapore, pp. 1381-1384. [PDF]

  • Sujit Kuthirummal, C. V. Jawahar and P. J. Narayanan - Fourier Domain Representation of Planar Curves for Recognition in Multiple Views, Pattern Recognition, Vol. 37, No. 4, April 2004, pp. 739--754. [PDF]

  • Sujit Kuthirummal, C.V. Jawahar and P.J. Narayanan - Algebraic Constraints on Moving Points in Multiple Views, Proceedings of the Indian Conference on Computer Vision, Graphics and Image Processing(ICVGIP), Dec. 2002, Ahmedabad, India, pp. 311--316. [PDF]

  • M. Pawan Kumar, Saurabh Goyal, C.V. Jawahar, and P.J. Narayanan - Polygonal Approximation of Closed Curves Across Multiple Views, Proceedings of the Indian Conference on Computer Vision, Graphics and Image Processing(ICVGIP), Dec. 2002, Ahmedabad, India, pp. 317--322. [PDF]

  • Sujit Kuthirummal, C.V. Jawahar and P.J. Narayanan - Multiview Constraints for Recognition of Planar Curves in Fourier Domain, Proceedings of the Indian Conference on Computer Vision, Graphics and Image Processing(ICVGIP), Dec. 2002, Ahmedabad, India, pp. 323--328. [PDF]

  • Sujit Kuthirummal, C. V. Jawahar and P. J. Narayanan, Planar Shape Recognition across Multiple Views, Proceedings of the International Conference on Pattern Recognition(ICPR), Aug. 2002, Quebec City, Canada, pp. 482--488. [PDF]

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