Only using coarse scale wavelet coefficients to reconstruct , standard wavelet transforms cannot possess excellent properties for general images which typically are piecewise continuous functions connected by large jumps . many problems arise near these jumps , caused primarily by the well - known gibbs ' phenomenon 對于包含許多劇烈跳躍的圖像,由標準的小波變換產生的粗尺度小波系數進行重構,效果不理想,尤其在圖像的劇烈跳躍處會產生gibbs ’現(xiàn)象。