Surfaces with Steep Variations in Depth Pose Difficulties for Orientationally Tuned Disparity Filters

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Abstract
Surfaces possessing steep variations in depth present severe difficulties for orientationally tuned filter models of stereopsis. These difficulties are discussed in connection with a random-dot stereogram depicting a surface with steep horizontal corrugations. As expected on theoretical grounds, we find that a vertical ±45° orientationally filtered version of this stereogram cannot be fused. Moreover, it is demonstrated that a horizontal ±45° filtered version can be fused only with difficulty and its stereo percept is poor compared to that of the unfiltered original. It is concluded that orientated filters seem ill-designed to mediate the extraction of disparity cues, at least in the cases under consideration.