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Region of interest (ROI) image coding is one of the most significant features in JPEG2000. It allows ROIs of the image are of higher importance than background (BG). In this paper, a new and efficient scaling-based method so-called Partial Bitplane Alternating Shift (PBAShift) is described. The new algorithm firstly shifts up partial most significant bitplanes of ROI. Then, the most significant bitplanes of BG coefficients and general significant bitplanes of ROI coefficients are shifted up by bitplanes alternating scaling method. The least significant bitplanes of ROI and BG coefficients are obtained in the original position. The PBAShift method, in addition to supporting efficient single ROI coding, can flexibly code multiple ROIs with degrees of interest in an image. The experiments on remote sensing images show the presented method supports ROI coding of both arbitrary shape and arbitrary scaling without shape coding. Additionally, it can handle complexity multiple ROIs of arbitrary shapes efficiently.