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Edge is an important feature in video classification which finds applications in video representation and coding. In H.264/AVC, intra-prediction mode decision (a computationally intensive process) is based on the orientation of the edges in the macroblock. In this paper, we first investigate the difference properties derived from three coefficients in the non-normalized Haar transform (NHT) domain and present a fast and efficient method to classify block edge using these properties. The proposed method significantly reduces the number of computational operations in the edge models determination with no multiplications and less addition operations. The use of edge classification for fast intra-prediction mode decision in H.264/AVC video coding is then presented. The experimental results show the effectiveness of the proposed method.