论文标题
切线锥，内侧轴的尺寸和前沿
The tangent cone, the dimension and the frontier of a medial axis
论文作者
论文摘要
本文的目的是在r^n $的给定点A的内侧轴内侧轴内侧轴的切线与X中的一组点的内侧轴之间建立关系，以实现距离D（A，X）。结果，根据M（a）的内侧轴的维度，为X内侧轴内侧轴的尺寸的下限。这似乎是指向内侧轴尺寸的完整描述的缺失链接。还提供了内侧轴边界上潜在麻烦的点的进一步研究，从而导致其在达到半径上的表征。
This paper aims to establish a relation between the tangent cone of the medial axis of X at a given point a of R^n$ and the medial axis of the set of points in X realising the distance d(a,X). As a consequence, a lower bound for the dimension of the medial axis of X in terms of the dimension of the medial axis of m(a) is obtained. This appears to be the missing link to the full description of the medial axis' dimension. Further study of potentially troublesome points on the frontier of the medial axis is also provided, resulting in their characterisation in terms of the reaching radius.
