The traditional fuzzy c-means (FCM) clustering method is widely used in image segmentation and other applications. However, it is prone to noise and leads to under-segmentation. In this work, we propose a deep superpixel prior fuzzy c-means (DSP-FCM) clustering method for image segmentation as a new framework for expanding the deep neural network prior into existing iterative optimisation beyond traditional clustering models. The key insight is that the DSP is generated from an existing segmentation-based neural network, which enables us to derive an explicit variational formulation for capturing DSP and traditional superpixel prior together. Furthermore, a weighted local entropy is designed to minimise intra-class dispersion and maximise inter-class entropy. The overall framework suppresses noise and outlier influence and demonstrates superior performance through extensive experiments (on natural and medical image datasets) compared with existing state-of-the-art methods.
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