Using inverse rotational projection, this paper has constructed 2-D continuous potential mother wavelets from 1-D continuous potential mother wavelets. At the same time, the widely-used mother wavelets for vector analysis and for tensor analysis are given. 2-D continuous potential wavelet transforms were conducted on synthetic models. SI (Euler Structure Index) for gravity sources was obtained by estimating the scale exponent, so that gravity sources could be identified. Gravity sources were quickly and successfully inversed by means of continuous potential wavelet transforms. This approach is useful in fast automation processing, inversion and interpretation of magnetic and gravity fields.