代数拓扑的一个应用

本文探讨当拟人双臂各夹持形状复杂物体，在没有视觉情况下运动，在任意方位指定的位置上相互协调装配的问题．应用同伦论，导出一个适合计算机判定的判别式．此法计算量少．

AN APPLICATION OF ALGEBRAIC TOPOLOGY

This paper explores the problem of the coordinated assembly of two camplicatedly-shaped objects by two movine anthropomorphic arms.A discriminant based on algebraic topology has been proposed for use in a computer.Using this discriminant,any arbitrary orientation of the objects at a designated position in three-dimensional space may be achieved without the aid of vision.This method is straightforward and involves the least amount of computing time over proposed for such an operation.