包络曲线的求解方法及在地球物理勘探中的应用

给出一个类曲线包络的公切线的求解方法，这种曲线包络在地球物理勘探的成像中有着重要应用，且这些曲线通常无解析表达形式，只能得到曲线上离散的点。文中给出了求解的迭代方法及收敛性。算例表明这种迭代方法收敛速度非常快，文中还证明了速度成像中等时曲线的凸性。

Solution of Enveloping Curves and Its Application to Geophysical Prospecting

This paper introduces a solution to the common tangent of envelope of curves. This envelope of curves is applied to the imagery of geophysical prospecting. And these curves generally have no analytic representations; only the discrete points on the curves can be got. This paper also introduces the iterative method and convergence. The examples here indicate that the convergence of this iterative method is very quick. In addition this paper proves the convexity of isochronous curves in speed imagery.