1. An edge adaptive de-interlacing apparatus for de-interlacing a target pixel, comprising: an extreme-value detection module, for detecting at least an extreme-value position of a luminance distribution curve in a first region associated with the target pixel to output a prediction signal for indicating a predicted angle region, wherein the extreme-value detection module comprises: a first extreme-value detector, for detecting a first extreme-value position of a luminance distribution curve of a first display line in the first region and accordingly outputting a first extreme-value signal; a second extreme-value detector, for detecting a second extreme-value position of a luminance distribution curve of a second display line in the first region and accordingly outputting a second extreme-value signal; and an angle predictor, for outputting the prediction signal according to the first extreme-value signal and the second extreme-value signal; a qualifier, coupled to the extreme-value detection module for generating similarity of at least one possible edge angle in response to the predicted angle region; a comparator, coupled to the qualifier for comparing the similarity of the at least one possible edge angle to select a preferred edge angle; and a mixer, coupled to the comparator for generating pixel data of the target pixel according to the preferred edge angle.