Stereoscopic imaging technology has been growingly prevalent driven by both the entertainment industry and scientific applications in today's world. But objective quality assessment of stereoscopic images is a challenging task. In this paper, we propose a novel stereoscopic image quality assessment (SIQA) method by jointly considering monocular perception and binocular interaction. As the most significant contribution of this study, binocular perceptual properties of simple and complex cells are considered for full-reference (FR) SIQA. Specifically, the proposed scheme first simulates the receptive fields of simple cells (one class of V1 neurons) using a push-pull combination of receptive fields response, which is used to represent a monocular cue. Further, the receptive fields of complex cells (the other class of V1 neurons) are simulated by using binocular energy response and binocular rivalry response, which are used to represent a binocular cue. Subsequently, various quality-aware features are extracted from the response of area V1 by calculating the self-weighted histogram of the local binary pattern on four types of feature maps of similarity measurement that will change in the presence of distortions. Finally, kernel ridge regression is used to simulate a nonlinear relationship between the quality-aware features and objective quality scores. The performance of our method is evaluated over popular stereoscopic image databases and shown to be competitive with the state-of-the-art FR SIQA algorithms.