Discrete grid wavelet transform has wide application in the engineering analysis. The way to decide the value of the scale factor widely used in present is to set the scale fact or aasa=an0(a0=2

n=0

1

…

N). But for the actual applications

it is too rough for analysis. Therefore

people should reduce the scale factor interval to increase the density of the discrete grids of the wavelet transform. However existing ways to increase the density of the discrete grids have some what of randomicity. Through the research in the wavelet transform profilometry

Weng Jiawen and Zhong Jingang proposed another new approach to the analysis of the values of the scale factor in the light of the energy characteristic of the wavelets. In this paper

they took the Gabor wavelet for example and figured out the length of the frequency border of the Heisenberg box for each“daughter wavelet”. Therefore they got the theory formula of the decision of the scale factor for the Gabor wavelet asa=1.15 na0. The theory and the accuracy check by a simulation and an example of 32D shape measurement are explained and shown in this paper. And the results of the simulation and experiments have shown the advantage of the presented method.