High-quality integral imaging (II) system requires collecting and storing large amounts of image data. To reduce the amount of data demanded by II display part during computational reconstruction, a novel computional reconstruction method is proposed. Conventional computational reconstruction needs to use each elemental image. However, in the proposed method, elemental images array recorded by CCD camera are periodically sampled, and multiple view images can be reconstructed by only utilizing the sampled elemental images. This method makes full use of the matching pixel for the adjacent elemental images in integral imaging. Therefore, the unsampled elemental image information can be replaced by the matching pixel in the sampled elemental images to reconstruct multiple view images. Thus, the amount of data required for reconstruction can be reduced by using this proposed method, which can provide flexibility for II display part with different performances, and reduces the requirements for the storage capacity and transmission bandwidth for integral images.