Color image edge detection by parallel coordinates-based color distance

Although simple and based on physical realizable color primaries, the RGB color space cannot allow the direct definition of a topology-preserving, perceptually-compatible inter-color distance. The classical normalized inter-color distances are rather complex to implement and tune. We propose the use of a planar color representation plot, derived from multivariate data visualization using parallel coordinates, which allows the introduction of a luminance-invariant, geometry-based inter-color distance. We show that the new distance is used with good results in the implementation of distance-based color filters and edge detectors.

[1]  D. F. Andrews,et al.  PLOTS OF HIGH-DIMENSIONAL DATA , 1972 .

[2]  Brian V. Funt,et al.  A data set for color research , 2002 .

[3]  Herman Chernoff,et al.  The Use of Faces to Represent Points in k- Dimensional Space Graphically , 1973 .

[4]  V. Barnett The Ordering of Multivariate Data , 1976 .

[5]  Christine Fernandez-Maloigne,et al.  Nonlinear color image filtering by color to planar shape mapping , 2003, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429).

[6]  Alfred Inselberg,et al.  Multidimensional Lines. I: Representation , 1994, SIAM J. Appl. Math..

[7]  Lawrence O. Hall,et al.  Fuzzy parallel coordinates , 2000, PeachFuzz 2000. 19th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.00TH8500).

[8]  Shuo-Yan Chou,et al.  Cluster identification with parallel coordinates , 1999, Pattern Recognit. Lett..

[9]  Wojtek J. Krzanowski,et al.  Principles of multivariate analysis : a user's perspective. oxford , 1988 .

[10]  Alfred Inselberg,et al.  Multidimensional Lines II: Proximity and Applications , 1994, SIAM J. Appl. Math..