It is remarkable that there is a duality in geometric tomography between results on projections of convex bodies and results on sections of star (rather than convex) bodies. The radial Blaschke addition, which is the dual version of Blaschke addition, as an operation between central symmetric star bodies is introduced in this paper. The relationship between it and the classical radial addition, many properties of radial Blaschke addition and related inequalities are established.

中文翻译：

---

双重布拉施克加法

值得注意的是，在凸体投影的结果与星形（而不是凸形）体的截面结果之间，几何层析成像具有双重性。本文介绍了径向Blaschke加法，它是Blaschke加法的对偶形式，作为中心对称星体之间的运算。建立了它与经典径向加法之间的关系，径向Blaschke加法的许多性质以及相关的不等式。