In order to implement segmentation and bias correction simultaneously for brain Magnetic Resonance (MR) images with intensity inhomogeneity

a multiphase level set method based on local Gaussian distribution fitting (LGDF) model is proposed in this paper. By analyzing the local properties of the bias field model

the multiplicative factor of the bias field is induced into the local intensity means formation and thus it becomes a new variable of the energy function. Therefore

the minimization of the energy function by iteration does not only accomplish the objective tissue segmentation

but also makes an effective estimation to the bias field. Experiments on synthetic images and simulated brain MR images show the proposed method is superior to the state-of-the-art on segmentation results. Moreover

the corrected images using the bias field estimated by our method have a better visual effect.