Special curves in the Minkowski space such as Minkowski Pythagorean hodograph curves play an important role in computer-aided geometric design, and their usages are thoroughly studied in recent years. Bizzarri et al. (2016) introduced the class of Rational Envelope (RE) curves, and an interpolation method for G¹ Hermite data was presented, where the resulting RE curve yielded a rational boundary for the represented domain. We now propose a new application area for RE curves: skinning of a discrete set of input circles. We show that if we do not choose the Hermite data correctly for interpolation, then the resulting RE curves are not suitable for skinning. We introduce a novel approach so that the obtained envelope curves touch each circle at previously defined points of contact. Thus, we overcome those problematic scenarios in which the location of touching points would not be appropriate for skinning purposes. A significant advantage of our proposed method lies in the efficiency of trimming offsets of boundaries, which is highly beneficial in computer numerical control machining.

Minkowski空间中的特殊曲线（例如Minkowski勾股勾线图曲线）在计算机辅助几何设计中起着重要作用，并且近年来对其用途进行了深入研究。Bizzarri等。（2016）介绍了有理包络（RE）曲线的类别以及G ¹的插值方法给出了Hermite数据，其中所得的RE曲线产生了所表示域的合理边界。现在，我们为RE曲线提出一个新的应用领域：对一组离散的输入圆进行蒙皮。我们表明，如果没有正确选择Hermite数据进行插值，那么所得的RE曲线将不适合蒙皮。我们引入一种新颖的方法，使获得的包络线在先前定义的接触点处接触每个圆。因此，我们克服了那些接触点的位置不适用于换肤目的的问题场景。我们提出的方法的一个显着优势在于微调边界偏移的效率，这在计算机数控加工中非常有利。