A phase field higher-order active contour model of directed networks

Aymen El Ghoul 1 Ian Jermyn 1 Josiane Zerubia 1
1 ARIANA - Inverse problems in earth monitoring
CRISAM - Inria Sophia Antipolis - Méditerranée , SIS - Signal, Images et Systèmes
Abstract : The segmentation of directed networks is an important problem in many domains, e.g. medical imaging (vascular networks) and remote sensing (river networks). Directed networks carry a unidirectional flow in each branch, which leads to characteristic geometric properties. In this paper, we present a nonlocal phase field model of directed networks. In addition to a scalar field representing a region by its smoothed characteristic function and interacting non-locally so as to favour network configurations, the model contains a vector field representing the ‘flow' through the network branches. The vector field is strongly encouraged to be zero outside, and of unit magnitude inside the region; and to have zero divergence. This prolongs network branches; controls width variation along a branch; and produces asymmetric junctions for which total incoming branch width approximately equals total outgoing branch width. In conjunction with a new interaction function, it also allows a broad range of stable branch widths. We analyse the energy to constrain the parameters, and show geometric experiments confirming the above behaviour. We also show a segmentation result on a synthetic river image.
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Communication dans un congrès
Second Workshop on Non-Rigid Shape Analysis and Deformable Image Alignment (NORDIA'09), at ICCV, Sep 2009, Kyoto, Japan. 2009
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  • HAL Id : inria-00409910, version 1

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Aymen El Ghoul, Ian Jermyn, Josiane Zerubia. A phase field higher-order active contour model of directed networks. Second Workshop on Non-Rigid Shape Analysis and Deformable Image Alignment (NORDIA'09), at ICCV, Sep 2009, Kyoto, Japan. 2009. <inria-00409910>

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