Using Eigenvectors of a Vector Field for Deriving a Second Directional Derivative Operator for Color Images

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.

[1]  I.E. Abdou,et al.  Quantitative design and evaluation of enhancement/thresholding edge detectors , 1979, Proceedings of the IEEE.

[2]  Aldo Cumani,et al.  Edge detection in multispectral images , 1991, CVGIP Graph. Model. Image Process..

[3]  Gérard G. Medioni,et al.  Detection of Intensity Changes with Subpixel Accuracy Using Laplacian-Gaussian Masks , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[4]  John F. Canny,et al.  A Computational Approach to Edge Detection , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[5]  Silvano Di Zenzo,et al.  A note on the gradient of a multi-image , 1986, Comput. Vis. Graph. Image Process..

[6]  A. Chehikian 1 - Algorithmes optimaux pour la génération de pyramides d'images passe-bas et laplaciennes , 1992 .

[7]  Hsien-Che Lee,et al.  Detecting boundaries in a vector field , 1991, IEEE Trans. Signal Process..

[8]  Guner S. Robinson Color Edge Detection , 1977 .

[9]  Keith Phillips,et al.  Applications of Vector Fields to Image Processing , 1983, IEEE Transactions on Pattern Analysis and Machine Intelligence.