Medical Image Segmentation based on Deep Active Contour and Mean Curvature Loss Function

πŸ“… 2026-07-14
πŸ“ˆ Citations: 0
✨ Influential: 0
πŸ“„ PDF
πŸ€– AI Summary
This work addresses the common issue in medical image segmentation where insufficient geometric priors lead to poor boundary representation. To this end, it introduces mean curvature as a geometric constraint into deep active contour models for the first time, formulating a novel loss function to enhance geometric consistency of segmentation boundaries. A lightweight convolutional kernel is employed to approximate mean curvature efficiently, significantly reducing computational overhead. Furthermore, the method integrates the Chan–Vese model with convolutional neural networks to jointly optimize region and boundary information. Evaluated on liver and spleen datasets, the proposed approach achieves state-of-the-art performance, markedly improving both segmentation accuracy and geometric plausibility.
πŸ“ 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.
Problem

Research questions and friction points this paper is trying to address.

Medical Image Segmentation
Geometric Prior
Mean Curvature
Deep Learning
Active Contour
Innovation

Methods, ideas, or system contributions that make the work stand out.

Deep Active Contour
Mean Curvature Loss
Medical Image Segmentation
Geometric Prior
Convolutional Approximation
πŸ”Ž Similar Papers
No similar papers found.
πŸ’Ό Related Jobs
No related jobs found.
X
Xiao-qiang Zhai
Henan Provincial Center for Applied Mathematics, Henan University, Kaifeng 475004, China
Z
Zhi-feng Pang
Henan Provincial Center for Applied Mathematics, Henan University, Kaifeng 475004, China; College of Mathematics and Statistics, Henan University, Kaifeng 475004, China
P
Peng Zheng
College of Mathematics and Statistics, Henan University, Kaifeng 475004, China
Z
Ze-wen Li
Advanced Institute of Finance, Henan University, Kaifeng 475004, China
Y
Yan-zhe Hou
School of Software, Henan Agricultural University, Zhengzhou 450000, China