V2EX configuration space

Configuration Space

Definition / 释义

配置空间:在数学、物理与机器人学中,用来表示一个系统所有可能状态(配置)的抽象空间。空间中的每一个点对应系统的一种具体配置(例如机械臂各关节角度的组合,或多粒子系统的位置与动量的组合)。
(注:在不同学科里细节略有差异,但核心都是“用一个空间来统一表示所有可能配置”。)

Pronunciation / 发音

/kn.f.jre.n spes/

Examples / 例句

A robot arm’s joints define its configuration space.
机器臂的各个关节共同定义了它的配置空间。

Planning a collision-free path is easier when obstacles are represented in configuration space rather than in ordinary 3D space.
当把障碍物放到配置空间中表示,而不是只在普通三维空间里表示时,规划一条无碰撞路径往往更容易。

Etymology / 词源

configuration 来自拉丁语 configurare(“塑形、使成形”),由 *con-*(共同)+ figurare(形成形状)构成;space 来自拉丁语 spatium(“空间、距离”)。合起来的 configuration space字面意思是“配置的空间”,用于把“所有可能的形状/状态”用一个统一的空间结构来表达。

Related Words / 相关词

Literary Works / 文学作品

  • 《The Feynman Lectures on Physics》(费曼物理学讲义):在讨论多粒子系统与量子/统计相关概念时会涉及配置空间的表述。
  • 《Classical Mechanics》(Goldstein 等,《经典力学》):在广义坐标、约束与系统状态描述中常使用配置空间框架。
  • 《Principles of Robot Motion: Theory, Algorithms, and Implementations》(Choset 等,《机器人运动原理》):把配置空间作为运动规划与避障的核心工具进行系统讲解。
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