References

HYPERBOLIC PARABOLOID SPLINE FOR SPATIAL DATA FITTING AND APPROXIMATION


[1] J. G. Alcazar, On the different shapes arising in a family of plane rational curves depending on a parameter, Comput. Aided Geom. Des. 27(2) (2010), 162-178.

[2] C. Bajaj and G. Xu, A-splines: Local interpolation and approximation using -continuous piecewise real algebraic curves, Computer Science Technical Report, Purdue University (1992), 92-144.

[3] L. Biard, R. Farouki and N. Szafran, Construction of rational surface patches bounded by lines of curvature, Comput. Aided Geom. Des. 27(5) (2010), 359-371.

[4] W. Boehm, On cubics: A survey, Comput. Graph. & Image Process. 19(3) (1982), 201-226.

[5] Q. Duan, F. Bao, S. Du and E. Twizell, Local control of interpolating rational cubic spline curves, Comput. Aided Des. 41(11) (2009), 825-829.

[6] G. Farin, Curves and Surfaces for Computer-Aided Geometric Design, Academic Press, 1997.

[7] A. Forrest, The twisted cubic curve: A computer-aided geometric design approach, Comput. Aided Des. 12(4) (1980), 165-172.

[8] M. Z. Hussain and M. Sarfraz, Positivity-preserving interpolation of positive data by rational cubics, J. Comput. Appl. Math. 218(2) (2008), 446-458.

[9] T. Ju, P. Liepa and J. Warren, A general geometric construction of coordinates in a convex simplicial polytope, Comput. Aided Geom. Des. 24(3) (2007), 161-178.

[10] H. Mou, G. Zhao, Z. Wang and Z. Su, Simultaneous blending of convex polyhedra by algebraic splines, Comput. Aided Des. 39(11) (2007), 1003-1011.

[11] M. Paluszny and R. Patterson, Geometric control of -cubic A-spline, Comput. Aided Geom. Des. 15(3) (1998), 161-187.

[12] F. Peng and X. Han, A four degree algebraic spline with -continuity, Comput. Aided Des. and Comput. Graph. (Chinese) 18(9) (2006), 1420-1425.

[13] F. Peng and X. Han, Parametric splines on a parabolic surface, J. Comput. Appl. Math. 229(1) (2009), 183-191.

[14] F. Peng and J. Chen, Spline on a generalized hyperbolic paraboloid, J. Comput. Appl. Math. 235(8) (2011), 2451-2458.

[15] J. Sánchez-Reyes, Complex rational Bézier curves, Comput. Aided Geom. Des. 26(8) (2009), 865-876.

[16] G. Xu, C. Bajaj and W. Xue, Regular algebraic curve segments (i)-definitions and characteristics, Comput. Aided Geom. Des. 17(6) (2000), 485-501.

[17] G. Xu, C. Bajaj and C. Chu, Regular algebraic curve segments (ii)-definitions and characteristics, Comput. Aided Geom. Des. 17(6) (2000), 503-519.

[18] G. Xu and C. Bajaj, Regularization of B-spline objects, Comput. Aided Geom. Des. 28(1) (2011), 38-49.

[19] L. Yan and J. Liang, A class of algebraic-trigonometric blended splines, J. Comput. Appl. Math. 235(6) (2011), 1713-1729.