Abnormal binocular vision occurs in a broad range of disorders including strabismus, amblyopia, heterophorias, large fixation disparities, and anomalous refractive conditions. The examination and treatment of these problems are the major tasks in optometry clinics. However, the concepts and parameters used in clinic are not closely related to the parameters in the interactive model of the accommodative and vergence systems. In this study, we will use a mathematical optimization method to determine these parameters for patients with normal and abnormal binocular vision and compare the results in the estimated parameters to identify the difference between the patients. We hope that the results of this study will provide insights into the disorder in binocular vision and suggest new strategies in the diagnosis and treatment.