\input zb-basic \input zb-ioport \iteman{io-port 05992376} \itemau{Xin, Qiao; Mu, Chunlai; Li, Meng} \itemti{The Lee-Seo model with regularization term for bimodal image segmentation.} \itemso{Math. Comput. Simul. 81, No. 12, 2608-2616 (2011).} \itemab Summary: We improve Lee-Seo's bimodal image segmentation model using a regularization term. This regularization term maintains the smoothness of the level set function and decreases the level set function's oscillations around the desired steady state when the noise level is lager. Furthermore, we also provide a rigorous study of the modified model. Based on techniques in the calculus of variations, the existence of solutions of the modified model in BV space is established. Based on the theory we present, we construct a fast convergent algorithm to process images. It turns out that our method is twice as fast in processing an image as Lee-Seo's algorithm with the same constant value initial level set function. \itemrv{~} \itemcc{} \itemut{image segmentation; active contour model; CV model; Lee-Seo model; BV space; calculus of variations} \itemli{doi:10.1016/j.matcom.2011.04.005} \end