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We propose a fast image stitching approach which can combine a set of aligned images into a composite with low memory consumption and implement it in a mobile panorama system for creating high-resolution and high-quality panoramic images on mobile devices. It applies color correction to smooth color transition, dynamic programming to find optimal seams in overlapping areas between adjacent images, and simple linear blending to hide the seams after stitching. A sequential procedure is created with the fast stitching approach for constructing panoramic images. The approach presents two main advantages. The use of dynamic programming for optimal seam finding guarantees fast processing speed. The sequential panorama stitching allows saving memory resources. The approach has been tested with different image sequences and applied to different scenes. Good performance has been obtained.