现有的自由立体显示图像合成算法存在合成倾斜角度调整不灵活、合成速度慢、效果差等问题． 为此，文中在自由立体显示的双目视差原理基础上，提出了在图像合成过程中对图像排布的倾斜角度进行调整的自适应立体图像合成算法． 为减少子像素的判决次数，加快立体图像的合成速度，文中首先提出了一种新的判决准则———首列子像素视点判决准则，然后在图像合成过程中根据已经完成排布的部分图像的倾斜角度对将要排布图像的倾斜角度进行自动调整． 仿真结果表明: 文中算法能够适用于光栅倾斜角度为任意值的自由立体显示设备，并且能够得到排布更为合理的合成图像．

In the existing stereo image synthesis algorithms used in the auto-stereoscopic display，the inclination
angle of image synthesis is inflexible，the synthesis process is slow and the effect is poor．Therefore，we propose a novel algorithm named as self-adaptive stereo image synthesis algorithm，which adjusts the inclination angle during the process of image synthesis based on the theory of binocular stereo vision used in the auto-stereoscopic display．In the algorithm，a novel law of judgment named the law of judgment by the first column sub-pixels is proposed and then the inclination angle of the image to be unmapped is adjusted automatically according to the inclination angles of the partial mapped images during the process of image synthesis，so that the judgment number of sub-pixels can be decreased and thus the synthesis of stereo images can be sped up． Simulation results demonstrate that the proposed algorithm is suitable for the auto-stereoscopic display equipment with any inclination angle of parallax barrier and can make the synthesis more reasonable．