Spatial signal processing algorithms often use pre-given coordinate systems to label pixel positions. These processing algorithms are thus burdened by an external reference grid, making the acquisition of relative, intrinsic features difficult. This is in contrast to animal vision and cognition: animals recognize features without an external coordinate system. We show that a coordinate system-independent algorithm for visual signal processing is not only important for animal vision, but also fundamental for concept formation. In this paper we start with a visual object deformation transfer experiment. We then formulate an algorithm that achieves deformation-invariance with relative coordinates. The paper concludes with implications for general concept formation.

翻译：空间信号处理算法通常使用给定的坐标系来标记像素位置。因此，这些处理算法受到外部参考网格的限制，使得获取相对的本质特征变得困难。这与动物视觉和认知的情况相反：动物在没有外部坐标系的情况下识别特征。我们表明，对于视觉信号处理而言，一个独立于坐标系的算法不仅对于动物视觉很重要，而且对于概念形成也是基础的。在本文中，我们从一个视觉对象形变传递实验开始。然后，我们提出了一个使用相对坐标实现形变不变性的算法。最后，文章总结了对一般概念形成的影响。