Abstract
In Chapter 3, level set image segmentation into two regions was stated as the evolution of a single regular closed plane curve whose interior and exterior unambiguously define a partition of the image domain [1]. The general case of multiple regions uses several curves which can intersect. Therefore, a two-region formulation cannot be generalized directly by assigning a region to the interior of each curve because region membership becomes ambiguous when the curves intersect.
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Mitiche, A., Ayed, I.B. (2010). Multiregion Segmentation. In: Variational and Level Set Methods in Image Segmentation. Springer Topics in Signal Processing, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15352-5_4
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DOI: https://doi.org/10.1007/978-3-642-15352-5_4
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