Basis functions for object-centered representations

In an object-centered representation, the position of the subparts of an object are encoded with respect to a set of axes and an origin centered on the object. Several physiological and neuropsychological results support the existence of such representations in humans and monkeys. An explicit representation would involve neurons with invariant response properties in object-centered coordinates. We consider an alternative scheme using basis functions in which the cells have retinotopic receptive fields modulated by the orientation of the object and task-related signals. We show that this alternative is consistent with single-cell data, is computationally efficient, and accounts for object-centered hemineglect, a syndrome observed in humans after fronto-parietal lesions.