Geometrical manifold of achromatic colours of objects under natural illuminations

心理学家和神经科学家已经做了很多努力来确定为什么事情看起来像他们做的那样。人们对事物究竟是什么样子的关注要少得多，可能是因为这似乎是不言而喻的。然而，即使是像消色差这样的基本知觉，其内部结构也比人们想象的要复杂得多。与一般认为无色差的颜色可以被描述为一维连续体（称为亮度）相反，我们表明，事实上，它们构成了二维流形。我们计划用多维尺度来研究这个流形的几何性质。我们将使用一种新的方法来研究视照度/亮度不变性。我们还将在一个新的理论和方法框架内处理亮度恒定（关于光照和位置）的经典问题。

A lot of effort has been made by psychologists and neuroscientists to ascertain why things look like they do . Much less attention has been paid to establishing what exactly things look like, probably because it seems self-evident. However even such elementary perceptions as achromatic colours have a more complicated internal structure than one might suppose. Contrary to the general belief that achromatic colours can be described as a one-dimensional continuum (referred to as lightness), we show that, in fact, they constitute a two-dimensional manifold. We plan to study the geometrical properties of this manifold using multidimensional scaling. We shall investigate apparent illumination/lightness invariance using a new approach. We shall also address the classical problem of lightness constancy (with respect to illumination and position) within a new theoretical and methodological framework.