Closure property can provide a key to our understanding of the visual perception of line pattern. It is a fundamental property of pattern grouping in human visual perception as advocated by the Gestalt school of psychology. The closure possesses a pro- perty to organize the world by filling in the gaps in the stimulation so that we perceive a whole Object and disjointed parts. To explain this property, two hypothetical models from the standpoint of computer engineering are presented in the thesis. The one is called disk expansion based on boundary pro- perty to simulate the closure property. The other is called visual field method based on lateral spread of excitation (gaussian function) in neurophysilology, and then two proposed methods are combined in new model. Attempts also been made to compare the performance of the proposed algorithm with other existing algorithm (e.g. morphological algorithm and relaxation method). The experimental results indicate that the proposed algorithms yield the better smoothing results. Finally, the visual field method is used to simulate the phenomenon of far view and near view is feasible and reasonable.