Abstract: A method was proposed for surface reconstruction of complex shapes. Taking slice image as input source, the corresponding relationship of upper and lower contours was established based on free-form deformation (FFD). The branching problem was converted into one-to-one case by the external axes projection (EAP). The framework could naturally deal with sparse input source and contours of arbitrary topology with high match, parallel and efficiency. Experimental results show that the approach performs can well handle complicated situations.