The influence of natural image transformations on receptive field responses
is crucial for modelling visual operations in computer vision and biological
vision. In this regard, covariance properties with respect to geometric image
transformations in the earliest layers of the visual hierarchy are essential
for expressing robust image operations and for formulating invariant visual
operations at higher levels. This paper defines and proves a joint covariance
property under compositions of spatial scaling transformations, spatial affine
transformations, Galilean transformations and temporal scaling transformations,
which makes it possible to characterize how different types of image
transformations interact with each other. Specifically, the derived relations
show the receptive field parameters need to be transformed, in order to match
the output from spatio-temporal receptive fields with the underlying
spatio-temporal image transformations.

该论文研究自然图像变换对感受野响应的影响，通过定义和证明一种联合协方差属性，可以表征不同类型的图像变换相互作用的方式，从而使得可以匹配时空接受野与底层时空图像变换的输出。

广义高斯模型下的时空感受野对于几何图像变换的联合协方差特性

Joint covariance property under geometric image transformations for  spatio-temporal receptive fields according to generalized Gaussian model for  receptive fields