An algorithm for image reduction and zooming based on Hilbert scaning and the spring model is presented in this paper. Through the Hilbert scan

the two-dimensional image is converted to a one-dimensional gray-level sequence. Then

the gray-level sequence is imaged to a rubber band

and the image zoom and reduction can be realized by stretching out and drawing back the rubber band. Our experiments show that the algorithm is simple in operation

and provides good results.