In medical magnetic resonance imaging, parallel radio frequency excitation pulses have to respect a large number of specific absorption rate constraints. Geometrically, each of these constraints can be interpreted as a complex, centered ellipsoid. We propose to replace a collection of such constraints by the single constraint which corresponds to the associated maximum volume inscribed ellipsoid and implies all original constraints. We describe how to compute this ellipsoid via convex programming. Examples show that this reduction has very short computation times but cuts away parts of the feasible power domain.

中文翻译：

---

通过最大体积内切椭球体快速减少并行射频激励脉冲设计中的特定吸收率约束

在医学磁共振成像中，平行的射频激励脉冲必须考虑大量的特定吸收率约束。从几何学上讲，这些约束中的每一个都可以解释为复杂的中心椭圆形。我们建议用单个约束代替这样的约束集合，该单个约束对应于相关联的最大内接椭圆形并暗示所有原始约束。我们描述了如何通过凸编程来计算这个椭球。实例表明，这种减少具有很短的计算时间，却削减了可行功率域的一部分。