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As a region-based approach, the Mumford-Shah (MS) model is a robust image segmentation technique. However, the solution of the MS model is not trivial. Although some alternative approaches have been presented, these methods are either inefficient or applicable only to some special cases. We present a new model which consists of two terms, the length of the segmentation curve and the high-frequency component in the regions. Because only one variable needs to be solved, the method of solution is very efficient. Using the level set method, the approach can segment objects with complicated image intensity distribution without any approximations. In addition, the new model can segment both step and roof edges.