Fairing spline curves and surfaces by minimizing energy

New algorithms for the classical problem of fairing cubic spline curves and bicubic spline surfaces are presented. To fair a cubic spline curve or a b icubic spline surface with abnormal portions, the algorithms (automatically or-interactively) identify the 'bad' data points and replace them with new points produced by minimizing the strain energy of the new curve or surfac e. The proposed algorithms are more general than the existing algorithms in that the new algorithms can adjust more than one 'bad' data point in each modification step and they include the existing algorithms [Computer-Aided Design 15(5) (1983) 288-293; 28 (1996) 59-66] as special cases. Test result s of the new algorithms are included. (C) 2001 Elsevier Science Ltd. All ri ghts reserved.