最后形状 meaning in English

final form

In the third chapter , we introduce geometric expansion of convex planar curves . we discuss the evolution equation using minkowski ' s support function with the speed function of curvature and show that the shapes of curves become round asymptotically when the initial closed curves is smooth and convex
限制曲线在外法向上的演化速度是另一类特殊的曲率函数，研究相应的方程，我们得到了在初始为凸的闭简单光滑曲线的条件下，曲线的最后形状是渐近地趋于一个圆。