Abstract: This paper presents the curve-fitting methods based on the curvature data, to meet the requirement of the modei reconstruction of the endoscope. After the transformation from linear strain to curvature and the curvature linear interpolation, three methods based on curvature inte-gral are developed for curve fitting by means of the differential geometrv method. A test is carried out to validate the curve fitting methods and analyse the causes of errors. Finally some measures to reduce the fitting errors are suggested.

Key words: curvature, modei reconstruction, curve fitting, endoscopy