A moving target detection method was proposed based on the piecewise constant Mumford-Shah model (also known as the C-V model) solved by the Split Bregman iteration.In the method the Gaussian mixture model was used for background modeling and then the background was subtracted to obtain the moving regions of the image sequence (the handling objects of our method).As a result of the introduction of the Split Bregman iteration scheme we could use a rather large time step while maintaining the stability of the evolution process.The experimental results demonstrated that for real infrared image sequences the Split Bregman iteration scheme can accelerate the evolution of the curve and significantly reduce the number of iterations which proved the validity of our method.