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A new class of de-interlacing is developed for intra-frame-based motion picture coding such as Motion-JPEG2000. The proposed technique has two features: the sampling density preservation and the invertibility. Thus, the amount of de-interlaced pictures is not increased and the original pictures can perfectly be reconstructed. This technique is regarded as a generalization of the conventional field interleaving. The significance is, verified by showing some design examples and simulation results, The proposed technique is also shown to cause less comb-shape artifacts than the conventional one. The intra-field-based case is also discussed.