1. A pixel interpolation method for interpolating a target picture, the pixel interpolation method comprising: performing up-sampling upon the target picture for generating an up-sampled picture corresponding to the target picture; performing edge detection and motion detection on the up-sampled picture in parallel; performing inter-field interpolation on the target picture to generate a result of the inter-field interpolation, and performing intra-field interpolation on the up-sampled picture according to a result of the edge detection to generate a result of the intra-field interpolation; and selecting the result of the inter-field interpolation or the result of the intra-field interpolation as a result of interpolating the target picture according to a result of motion detection operation.