Fairing of parametric cubic splines

Mathematical and Computer Modelling - Tập 30 - Trang 121-131 - 1999
J. Ye1
1Department of Computational Science, National University of Singapore, Singapore 119260

Tài liệu tham khảo

Kjellander, 1983, Smoothing of cubic parametric splines, Comput. Aided Des., 15, 175, 10.1016/0010-4485(83)90085-4 Farin, 1987, Fairing cubic B-spline curves, Comput. Aided Geom. Des., 4, 91, 10.1016/0167-8396(87)90027-6 Reinsch, 1967, Smoothing by spline functions II, Num. Math., 16, 451, 10.1007/BF02169154 Mehlum, 1974, Nonlinear spline, 173 Meier, 1987, Interpolating curves with gradual changes in curvature, Comput. Aided Geom. Des., 4, 297, 10.1016/0167-8396(87)90004-5 Jou, 1991 R. Qu and J. Ye, Efficient approximation of minimal energy curves with interpolatory constraints, Applied Mathematics and Computation (to appear). Foley, 1987, Weighted bicubic spline interpolation to rapidly varying data, ACM trans. Graphics, 6, 1, 10.1145/27625.27626 Salkauskas, 1974, C1 splines for interpolation of rapidly varying data, Rocky Mountain J. Math., 14, 239, 10.1216/RMJ-1984-14-1-239 Thomas, 1987, Interpolation with interval and point tensior controls using cubic weighted ν-Splines, ACM Trans. Math. Softw., 13, 68, 10.1145/23002.23004 Guan, 1997, Study and application of physics-based deformable curves and surfaces, Computer Graphics, 21, 305, 10.1016/S0097-8493(97)00007-1 Schweikert, 1966, An interpolation curve using a spline in tension, J. Math. Phys., 45, 312, 10.1002/sapm1966451312