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Using eigenvectors of a vector field for deriving a second directional derivative operator for color images

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Computer Analysis of Images and Patterns (CAIP 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 719))

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Abstract

Edge detection in color images could be seen as detecting changes in a vector field.This paper presents a survey on existing methods and their difficulties. A second directional derivative approach is proposed, using eigenvalues and eigenvectors of a vector field for deriving a color edge detector and avoiding some ambiguities in the gradient direction estimation. Qualitative studies are presented by applying and comparing the different technics on a real image.

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References

  1. I. E. Abdou W. K. Pratt “Quantitative Design and Evaluation of Enhancement / Thresholding edge detectors”, In Proceedings of the IEEE, vol. 67, No. 5, May 1979.

    Google Scholar 

  2. A. Huertas and G. Medioni “Detection of Intensity Changes with Subpixel Accuracy using Laplacian-Gaussian Masks”, IEEE Trans. Patt. Anal. Mach. Intell., vol. PAMI-8, 1986.

    Google Scholar 

  3. J. Canny “A Computational Approach to Edge Detection”, IEEE Trans. Patt. Anal. Mach. Intell., vol. PAMI-8,1986.

    Google Scholar 

  4. G. S. Robinson “Color edge detection”, Opt. Eng., vol. 16, pp. 479–484, 1977.

    Google Scholar 

  5. R. Nevatia “A color edge detector and its use in scene segmentation”, IEEE Trans. Syst., Man,Cybern., vol. SMC-7, pp. 820–826, 1977.

    Google Scholar 

  6. R. Machuca and K. PHilips “Applications of vector fields to image processing”, IEEE Trans. Patt. Anal. Mach. Intell., vol. PAMI-5, No. 3, May 1983.

    Google Scholar 

  7. S. Di Zenzo “A note on the gradient of multi-image”, Computer Vision, Graphics, and Image Processing, vol. 33, pp. 116–125, 1986.

    Google Scholar 

  8. C. L. Novak and S. A. Shafer “Color edge detection”, in Proc. DARPA Image Understanding Workshop (Los Angeles, CA), Feb. 1987. Los Altos, CA: Morgan Kaufmann Publishers, Inc., pp. 35–37.

    Google Scholar 

  9. H. C. Lee and D. Cok “Detection boundaries in a vector field”, IEEE Trans. Sig. Proc.,vol.39, No 5, May 1991.

    Google Scholar 

  10. A. Cumani “Edge detection in multispectral images”, in Graphical Models and Image Processing, vol. 53, No. 1, pp. 40–51, Jan. 1991.

    Google Scholar 

  11. W. Alshatti “Détecteur de contours niveaux de gris et couleurs: evaluation et étude comparative”, Technical repport No 92/08, LAMII, Oct. 1992.

    Google Scholar 

  12. A. Chéhikian “Algorithmes Optimaux pour la Génération de Pyramides d'Images Passe-bas et Laplaciennes”, In Traitement du Signal, vol. 9, No. 4, 1992.

    Google Scholar 

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Dmitry Chetverikov Walter G. Kropatsch

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© 1993 Springer-Verlag Berlin Heidelberg

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Alshatti, W., Lambert, P. (1993). Using eigenvectors of a vector field for deriving a second directional derivative operator for color images. In: Chetverikov, D., Kropatsch, W.G. (eds) Computer Analysis of Images and Patterns. CAIP 1993. Lecture Notes in Computer Science, vol 719. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57233-3_20

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  • DOI: https://doi.org/10.1007/3-540-57233-3_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57233-6

  • Online ISBN: 978-3-540-47980-2

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