This paper proposes a minimal contractor and a minimal separator for an ellipse in the plane. The task is facilitated using actions induced by the hyperoctahedral group of symmetries. An application related to the localization of an object using multiple sonars is proposed.

翻译：本文提出了平面内椭圆的最小收缩算子和最小分离算子。利用超八面体对称群诱导的变换简化了该任务。本文还提出了一项应用，涉及使用多个声纳对物体进行定位。