AI 中文总结
针对多中心天文结构，提出中心条件径向表示方法RadialPaths，可保留特征与中心的关联，适用于多类天文数据，配套Python包已开源。
AI 中文摘要
径向轮廓常被用于定位已分辨天文系统内的结构变化，但这类轮廓通常仅定义相对于单一中心的径向位置。在相互作用、团块状或其他多中心结构中，某一特征的径向位置会取决于所采用的中心。本文针对具有多个中心的连通结构，提出了一种中心条件径向表示方法：距离通过观测到的源轮廓而非被排除的背景来测量，可视为从中心传播的前沿的到达时间。每个位置与最先到达的中心相关联，由两个互补坐标描述：相对中心-边界深度，以及远离该中心的归一化进展。对于理想的中心圆形源，两者均精确简化为熟知的归一化半径r/R；而在折叠、细长或带尾的几何结构中，两者会分离，因为靠近侧向边界与在结构中的进展代表了“向外”的不同概念。合成示例表明，单中心和等面积径向描述无法保留局域特征与单个中心之间的关联，而中心条件轮廓可以。在两个JADES DR2系统中，得到的F277W轮廓在源轮廓的适度变化和一个像素的中心偏移下保持稳定。该构造既不假设光分布规律，也不进行重叠通量分解，相同的径向几何可应用于连续谱光、颜色、发射线、恒星种群属性和视线运动学的配准图。配套的Python包RadialPaths提供了参考实现，以及文档和在线教程，可在GitHub获取。
英文摘要
Radial profiles are routinely used to locate structural changes within resolved astronomical systems, but they generally define radial position relative to a single centre. In interacting, clumpy, or otherwise multi-centred structures, the radial location assigned to a feature can depend on the adopted centre. We introduce a centre-conditioned radial representation for connected structures with multiple centres. Distances are measured through the observed source footprint rather than across excluded background, and can be viewed as arrival times of fronts propagating from the centres. Each location is associated with the centre reached first and described by two complementary coordinates: relative centre--boundary depth and normalized progression away from that centre. For an ideal centred circular source, both reduce exactly to the familiar normalized radius $r/R$; in folded, elongated, or tailed geometries they separate because proximity to a lateral boundary and progression through the structure represent different notions of ``outward''. Synthetic examples show that single-centre and equivalent-area radial descriptions do not retain the association between localized features and individual centres, whereas centre-conditioned profiles do. In two JADES DR2 systems, the resulting F277W profiles remain stable under modest changes in the adopted source footprint and one-pixel centre shifts. The construction assumes neither a light-profile law nor an overlapping flux decomposition, and the same radial geometry can be applied to registered maps of continuum light, colour, emission lines, stellar-population properties, and line-of-sight kinematics. An accompanying Python package, \textsf{RadialPaths}, provides the reference implementation together with documentation and online tutorials at \href{https://rafaelsdesouza.com.br/radialpaths} {GitHub}.
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