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Edge Extraction with an Anisotropic Vector Field using Divergence Map

Giuliani Donatella

Pages - 255 - 272 | Revised - 15-07-2012 | Published - 10-08-2012

Published in International Journal of Image Processing (IJIP)

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KEYWORDS

Edge Extraction, Active Contours, Anisotropic Flow, GGVF

ABSTRACT

The aim of this work is the extraction of edges by a deformable contour procedure, using an external force field derived from an anisotropic flow, with different external and initial conditions. By evaluating the divergence of the force field, we have generated a divergence map associated with it in order to analyze the field convergence. As we know, the divergence measures the intensity of convergence or divergence of a vector field at a given point, so by means level curves of the divergence map, we have automatically selected an initial contour for the deformation process. The initial curve must include areas from which the vector field diverges pushing it towards the edges. Furthermore the divergence map brings out the presence of curves pointing to the most significant geometric parts of boundaries corresponding to high curvature values, in this way it will result better defined the geometrical shape of the extracted object.

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1 | M. Kass, A. Witkin, D. Terzopoulos, “ Snakes: active contour models” , Int.Jour. Comp. Vision, Vol. I, N.4, 1988, pp 321-331 |

2 | T. Mc Inerney, D. Terzopoulos, “T-snakes:Topology adaptive snakes”,Medical Image Analysis,4,2000,pp. 73-91. |

3 | J. Liang,T.Mc Inerney, D. Terzopoulos, “United Snakes” , Medical Image Analysis,10,2006pp. 215-233 |

4 | S.J. Osher, J.A. Sethian, “Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations”, J. of Computational Physics, 79, 1988, pp 12-49 |

5 | S.J. Osher, R.P. Fedkiw, “Level set methods: an overview and some recent results”, J. of Computational Physics, 169, 2001, pp 463-502 |

6 | C. Xu, L.J. Prince, “Snakes ,shapes, and gradient vector flow”, IEEE Trans.on Image Processing, 7, 1998 |

7 | C. Xu, A. Yezzi, and J. Prince, “On the Relationship between Parametric and Geometric Active Contours,” Proc. Asilomar Conf. Signals, Systems, and Computers, pp. 483-489, 2000. |

8 | B. Li, T.A Scott, “Active contour external force using vector field convolution for image segmentation”,. IEEE Transactions on Image Processing, 16,2007, pp.2096-2106 |

9 | A. Kovács, T. Szirányi, “Improved force field for vector field convolution method”,ICIP IEEE 2011, pp. 2909-2912. |

10 | C. Xu, L.J. Prince, “Gradient Vector Flow: a New External Force for Snakes”,IEEE Proc. Conf. on Comp. Vis. Patt. Recogn., CVPR’97 |

11 | C. Xu, L.J. Prince, “Generalized gradient vector flow external forces for active contours”, Signal Proc., an Intern. Journal, 71, 1998 |

12 | R. Courant,D. Hilbert, “Methods of Mathematical Physics”, Vol I, Ed.Interscience, New York,1953 |

13 | J. Cheng, W.F. Say, “Dynamic Directional Gradient Vector Flow for Snakes”,IEEE Trans. on Image Processing, 15, 2006 |

14 | N. Paragios, O. Mellina-Gottardo, V. Ramesh, “Gradient Vector Flow Fast Geometric Active Contours”, IEEE Trans. on Pattern Analysis and Machine Intelligence, 26, 2004 |

15 | C. Li, J. Li, M.D. Fox, “Segmentation of Edge Preserving Gradient Vector Flow: an Approach Toward Automatically Initializing and Splitting of Snakes”, IEEE Proc. Conf. on Comp. Vis. Patt. Recogn., CVPR’05 |

16 | C. Tauber, H. Batiata, A. Ayache, “A Robust Active Initialization and Gradient Vector Flow for Ultrasound Image Segmentation”, MVA2005 IAPR Conference on Machine Vision Applications, 2005 |

17 | F. Yabin, L. Caixia, Z. Bingsen, P. Zhenkuan, “An Improved Algorithm of Contour Initialization in Active Contour Model”,Image and Graphics, ICIG 2007 |

18 | P. Perona, J. Malik, “Scale-space and edge detection using anisotropic diffusion” IEEE Trans. on Pattern Analysis and Machine Intelligence, 12,1990. |

Dr. Giuliani Donatella

Scientifc-Didactic Polo of Rimini, University of Bologna - Italy

giulianidonatella@libero.it