AUTHOR=Wang Dong , Dang Xing , Liu Weijing , Wang Yuanquan TITLE=Image segmentation using active contours with image structure adaptive gradient vector flow external force JOURNAL=Frontiers in Applied Mathematics and Statistics VOLUME=9 YEAR=2023 URL=https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2023.1271296 DOI=10.3389/fams.2023.1271296 ISSN=2297-4687 ABSTRACT=Introduction

Gradient vector flow (GVF) has been proven as an effective external force for active contours. However, its smoothness constraint does not take the image structure into account, such that the GVF diffusion is isotropic and cannot preserve weak edges well.

Methods

In this article, an image structure adaptive gradient vector flow (ISAGVF) external force is proposed for active contours. In the proposed ISAGVF model, the smoothness constraint is first reformulated in matrix form, and then the image structure tensor is incorporated. As the structure tensor characterizes the image structure well, the proposed ISAGVF model can be adaptive to image structure, and the ISAGVF snake performs well on weak edge preservation and deep concavity convergence while possessing some other desirable properties of the GVF snake, such as enlarged capture range and insensitivity to initialization.

Results

Experiments on synthetic and real images manifest these properties of the ISAGVF snake.