Equivolumetric Evolution of Planar Curves

Figure 1

(a) The front evolution starting from a rectangular initial front is illustrated. The initial front is a square centered at the origin whose length of a side is 0.6. The front evolution speed is with and . The sequence of fronts is plotted from to with . (b) This figure shows an enlargement of the motion of the front near the corner marked as a dotted box on (a). This is the motion of the front from to with .

(a)

(b)