  In order to improve the robustness of traditional image segmentation models
to noise, this paper models the illumination term in intensity inhomogeneity
images. Additionally, to enhance the model's robustness to noisy images, we
incorporate the binary level set model into the proposed model. Compared to the
traditional level set, the binary level set eliminates the need for continuous
reinitialization. Moreover, by introducing the variational operator GL, our
model demonstrates better capability in segmenting noisy images. Finally, we
employ the three-step splitting operator method for solving, and the
effectiveness of the proposed model is demonstrated on various images.
