To find a global and smooth curve fitting, cubic BSpline method and gathering line methods are investigated. When segmenting and recognizing a contour curve of character shape, some global method is required. If we want to connect contour curves around a singular point like crossing points, merging separated contours together which lies apart crossing the singular point is necessary. For this pur pose, cubic BSpline method and new linegathering method are investigated and proposed. The result is that cubic BSpline method is rather too easy to bend. Easy to bend feature can cover singular point smoothly, so is not good to detect singular points. Gatheringline method is to represent the contour by overlapped line segments. By overlapping lines, arcs can be represented in natural way. Some investigations and experimental results are shown