This document presents a new approach for segmenting skin lesions in dermoscopic images using a fixed-grid wavelet network (FGWN). The FGWN takes R, G, and B color values as inputs and determines the network structure without training. The image is then segmented and the exact lesion boundary is extracted. Experimental results on 30 images showed the FGWN approach achieved better segmentation accuracy than other methods according to 11 evaluation metrics, extracting lesion boundaries more precisely. In conclusion, the FGWN provides an effective tool for automated skin lesion segmentation in dermoscopy images.