Medical Image Segmentation based on Deep Active Contour and Mean Curvature Loss Function
Abstract
Medical image segmentation is a crucial task in the field of clinical analysis and applications. Though deep learning techniques recently play a crucial role in several scenarios, the training at the individual pixel level leads to a lack of geometric prior information. Scholars proposed to integrate the Chan-Vese model into the loss function for training which can take into account the region and length of the region inside and outside the segmentation process and then improve the performance in medical image segmentation. However, these methods still lack an effective characterization of the segmented region. To overcome this problem, we introduce the mean curvature as a geometric natural constraint and propose a Deep Active Contour and Mean Curvature (DACMC) loss function where the convolution kernel is used to approximate the mean curvature to save computational cost. We have validated the performance of our method on the liver and spleen dataset. Our proposed method demonstrates new state-of-the-art performance on several segmentation datasets.
Keywords
Cite
@article{arxiv.2607.12586,
title = {Medical Image Segmentation based on Deep Active Contour and Mean Curvature Loss Function},
author = {Xiao-qiang Zhai and Zhi-feng Pang and Peng Zheng and Ze-wen Li and Yan-zhe Hou},
journal= {arXiv preprint arXiv:2607.12586},
year = {2026}
}
Comments
15 pages, 4 figures. Keywords: medical image segmentation, curvature regularization, loss function, active contour model, mean curvature, deep learning. Under review at Biomedical Signal Processing and Control