The color monogenic signal: Application to color edge detection and color optical flow

Journal of Mathematical Imaging and Vision

Volumn 40, Issue 3, 2011, Pages 269-284

  Demarcq, Guillaume ^a   Mascarilla, Laurent ^a   Berthier, Michel ^a   Courtellemont, Pierre ^a  

^a UNIVERSITÉ DE LA ROCHELLE   (France)

Author keywords

Analytic and monogenic signal; Clifford algebras; Color monogenic signal; Color optical flow; Color segmentation

Indexed keywords

ANALYTIC SIGNALS; CLIFFORD ALGEBRA; COLOR EDGE DETECTION; COLOR IMAGES; COLOR INFORMATION; COLOR OPTICAL FLOW; COLOR SEGMENTATION; DIRAC EQUATIONS; MONOGENIC SIGNAL; MOVING OBJECTS; MULTISCALES; SCALE-SPACE;

ALGEBRA; COLOR IMAGE PROCESSING; EDGE DETECTION; LINEAR EQUATIONS; OPTICAL FLOWS; POISSON EQUATION;

COLOR;

EID: 79953232317     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10851-011-0262-6     Document Type: Article

References (25)

1. Bracewell, R.N.: Two-Dimensional Imaging. Prentice Hall Signal Processing Series. Prentice Hall, Englewood Cliffs (1995)
2. A. Bruhn J. Weickert 2005 Lukas/Kanade meets Horn/Schunk: combining local and global optic flow Int. J. Comput. Vis. 62 3 211 231
3. J. Canny 1986 A computational approach to edge detection IEEE Trans. Pattern Anal. Mach. Intell. 8 679 714 10.1109/TPAMI.1986.4767851
4. A. Cumani 1991 Edge detection in multispectral images Graph. Models Image Proc. 53 1 40 51 0774.68112 10.1016/1049-9652(91)90018-F
5. Demarcq, G., Mascarilla, L., Courtellemont, P.: A metric and multiscale color segmentation using the color monogenic signal. In: Lecture Notes in Computer Sciences, vol. 5702, pp. 906-913. (2009)
6. Demarcq, G., Mascarilla, L., Courtellemont, P.: The color monogenic signal: a new framework for color image processing. Application to color optical flow. In: IEEE Proc. Int. Conf. on Image Processing (ICIP) (2009)
7. S. Di Zenzo 1986 A note on the gradient of a multi-image Comput. Vis. Graph. Image Process. 33 1 116 125 10.1016/0734-189X(86)90223-9
8. J. Ebling G. Scheuermann 2005 Clifford Fourier transform on vector fields IEEE Trans. Vis. Comput. Graph. 11 4 469 479 10.1109/TVCG.2005.54 (Pubitemid 41049908)
9. M. Felsberg G. Sommer 2001 The monogenic signal IEEE Trans. Signal Process. 49 12 3136 3144 1874453 10.1109/78.969520 (Pubitemid 34035668)
10. M. Felsberg G. Sommer 2004 The monogenic scale-space: a unifying approach to phase-based image processing in scale-space J. Math. Imaging Vis. 21 5 26 2075714 10.1023/B:JMIV.0000026554.79537.35
11. Felsberg, M.: Low-level image processing with the structure multivector. Ph.D. thesis, Christian-Albrechts University, Kiel (2002)
12. Gevers, T.: Color Feature Detection: An Overview. CRC Press, Boca Raton (2006)
13. Gilbert, J.E., Murray, M.A.M.: Clifford Algebras and Dirac Operators in Harmonic Analysis. Cambridge University Press, Cambridge (1991)
14. Hestenes, D., Sobczyk, G.: Clifford Algebra to Geometric Calculus. Dordrecht, Reidel (1984)
15. B. Horn B. Schunk 1981 Determining optical flow Artif. Intell. 17 185 203 10.1016/0004-3702(81)90024-2
16. Lucas, B., Kanade, T.: An iterative image registration technique with an application to stereo vision. In: Proc. Seventh International Joint Conference on Artificial Intelligence, pp. 674-679. Vancouver, Canada (1981) (Pubitemid 14478744)
17. Martin, D., Fowlkes, C., Tal, D., Malik, J.: A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics. In: Proceedings of the Int. Conf. on Computer Vision, vol. 2, pp. 416-423. (2001) (Pubitemid 32795086)
18. Monga, O., Deriche, R., Malandain, G., Cocquerez, J.: Recursive filtering and edge closing: Two primary tools for 3D edge detection. In: Lecture Notes in Computer Sciences, Computer Vision, ECCV 90, vol. 427, pp. 56-65. (1990)
19. G. Sapiro 1997 Color snakes Comput. Vis. Image Underst. 68 2 407 416 1441271 10.1006/cviu.1997.0562
20. Sommer, G.: Geometric Computing with Clifford Algebras: Theorical Foundations and Applications in Computer Vision and Robotics. Springer, Berlin (2001)
21. D. Tschumperlé 2006 Fast anisotropic smoothing of multi-valued images using curvature-preserving PDE's Int. J. Comput. Vis. 68 1 65 82 10.1007/s11263-006-5631-z (Pubitemid 43724018)
22. Sumengen, B., Manjunath, B.S.: Multi-scale edge detection and image segmentation. In: European Signal Processing Conference (EUSIPCO) (2005)
23. J. Ville 1948 Théorie et applications de la notion de signal analytique Cables Transm. 2A 61 74
24. Wietzke, L., Sommer, G., Fleiscmann, O.: The geometry of 2d image signals. In: IEEE Proceedings CVPR 2009, pp. 1690-1697. (2009)
25. Zang, D., Wietzke, L., Schmaltz, C., Sommer, G.: Dense optical flow estimation from the monogenic curvature tensor. In: Proc. Scale-Space and Variational Methods, vol. 4485, pp. 239-250. (2007) (Pubitemid 350269799)