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In this paper, we present a new smoothing algorithms for variable depth mapping for real time stereoscopic image for 3D displays. Proposed algorithm is based on the physical concept, called Lapacian equation and we also discuss the mapping of the depth from scene to displayed image. The approach to solve the problem in stereoscopic image which we adopt in this paper is similar to multi-region algorithm which was proposed by N.Holliman. The main difference thing in our algorithm compared with the N.Holliman's multi-region algorithm is that we use the Laplacian equation by considering the distance between viewer and object. We implement the real time stereoscopic image generation method for OpenGL on the circular polarized LCD screen to demonstrate its real functioning in the visual sensory system in human brain. Even though we make and use artificial objects by using OpenGL to simulate the proposed algorithm, we assure that this technology may be applied to stereoscopic camera system not only for personal computer system but also for public broad cast system.