This paper proposes a technique for shape editing of point-based geometry based on geometric detail mapping. The geometric detail is an important attribute of a surface. It is defined in this paper as the difference between the original point-sampled surface and its base surface which is constructed as a multilevel B-splines approximation. The geometric detail is represented as the set of the local affine coordinates of the base surface and extracted effectively and efficiently in user specified frequency band of geometric signal. It can be mapped onto any arbitrary point set surface including its own deformed base surface. Versatile editing tools are developed for the point sampled geometry that naturally preserves the geometric detail. Experimental results demonstrate the high potentials of the approach for point-sampled geometry modeling.