Scale Parameter of Schrödinger Transform of Image

In the paper, scale parameter of Schrödinger transform of image is discussed. First, the experiments show Schrödinger transformation of image can be seen as the result of primitive image shrinking inside and spreading outward at the center of object, like as interference wave, and the bigger the parameter a is, the more obvious the interference is, on the other hand, contour curves of object in the transformed image are similar to contour curves of object in the original image. Then, we explain the parameter a is the scale parameter of Schrödinger transform of image. Finally, we investigate the relation between propagation distance and the scale parameter a, size of image and object.