Multiplierless Mumford and Shah Functional Implementation

This paper proposes the implementation of the Mumford and Shah functional without using complex operations as multiplications and divisions. Our goal is to show that the achieved results in terms of performance/complexity trade-off are well suited for video applications of the Mumford and Shah functional, such as motion estimation based on segmentation techniques. To this purpose two implementations, with and without multiplications, have been developed and ported on a DSP board able to get frames from a camera and to play out the results on a standard VGA monitor: reported results show a relative speed-up of a factor 3 for the multiplierless version with no visual quality degradation.