Designing objects with a spline

References

• Ball , A. A. 1974 . Consurf I . CAD , 6 : 243 – 249 .
   Google Scholar
• Barsky , B. A. 1981 . The Beta-spline: A local representation based on shape parameters and fundamental geometric measure , Utah University . Ph.D. Thesis
   Google Scholar
• Bartels , R. and Beatty , J. 1984 . “ Beta-splines with a difference ” . Waterloo, , Canada : Department of Computer Science, University of Waterloo . Tech. Rep. cs-83–40
   Google Scholar
• Boehm , W. 1985 . Curvature continuous curves and surfaces . Comp. Aided Geom. Design , 2 ( 2 ) : 313 – 332 .
   Google Scholar
• Cline , A. 1976 . Curve fitting in one and two dimensions using splines under tension . Comm. Acal , 17 : 218 – 223 .
   Google Scholar
• Dierckx , P. and Tytgat , B. 1989 . Generating the Bézier points of β -spline curve . Comp. Aided Geom. Design , 6 : 279 – 291 .
   Google Scholar
• Farin , G. E. 1996 . Curves and Surfaces for CAGD , New York : Academic Press .
   Google Scholar
• Foley , T. A. 1987 . Local control of interval tension using weighted splines . Comp. Aided Geom. Design , 3 : 281 – 294 .
   Google Scholar
• Foley , T. A. 1987 . Interpolation with interval and point tension controls using cubic weighted v-splines . ACM Trans. Math. Softw. , 13 : 68 – 96 .
   Google Scholar
• Goodman , T. N.T. and Unsworth , K. 1985 . “ Generation of beta spline curves using a recursive relation, in Fundamental Algorithms for Computer Graphics ” . Edited by: Earnshaw , R. E. 326 – 357 . Berlin : Springer .
   Google Scholar
• Habib , Z. , Sakai , M. and Sarfraz , M. 2004 . Interactive Shape Control with Rational Cubic Splines . Int. J. Comput. Aided Design Appl. , 1 ( 1–4 ) : 709 – 718 .
   Google Scholar
• Habib , Z. , Sarfraz , M. and Sakai , M. 2005 . Rational cubic spline interpolation with shape control . Int. J. Comp. Graph. , 29 ( 4 ) : 594 – 605 .
   Web of Science ®Google Scholar
• Lewis , J. ‘B-spline’ bases for splines under tension, Nu-splines, and fractional order splines . Presented at the SIAM-SIGNUM-meeting . San Francisco, , USA
   Google Scholar
• Nielson , G. M. 1974 . “ Some piecewise polynomial alternatives to ssplines under tension ” . In Computer Aided Geometric Design , Edited by: Barnhill , R. F. New York : Academic Press .
   Google Scholar
• Nielson , G. M. 1986 . Rectangular v-splines. . IEEE Comp. Graph. Appl. , 6 : 35 – 40 .
   Web of Science ®Google Scholar
• Pruess , S. 1979 . Alternatives to the exponential spline in Tension . Math. Comp. , 33 : 1273 – 1281 .
   Google Scholar
• Salkauskas , K. 1984 . C 1 splines for interpolation of rapidly varying data . Rocky Mtn. J. Math. , 14 : 239 – 250 .
   Google Scholar
• Sarfraz , M. 1992 . A C 2 rational cubic spline alternative to the NURBS . Comp. Graph. , 16 ( 1 ) : 69 – 78 .
   Google Scholar
• Sarfraz , M. 1994 . cubic spline curves with shape control . Int. J. Comput. Graph. , 18 ( 5 ) : 707 – 71 .
   Google Scholar
• Sarfraz , M. 1994 . Free form rational bicubic spline surfaces with tension control . FACTA UNIVERSITATIS (NIS), Ser. Math. Inf. , 9 : 83 – 89 .
   Google Scholar
• Sarfraz , M. 1995 . Curves and surfaces for CAD using C2 rational cubic splines . Int. J. Eng. Comp. , 11 ( 2 ) : 94 – 102 .
   Google Scholar
• Sarfraz , M . Weighted Nu Splines: An Alternative to NURBS, Advances in Geometric Modeling , Edited by: Sarfraz , M. 81 – 95 . New York : John Wiley . ISBN: 0-470-85937-7
   Google Scholar
• Sarfraz , M. 2004 . Weighted Nu splines with local support basis functions . Int. J. Comp. Graph. , 28 ( 4 ) : 539 – 549 .
   Google Scholar
• Schoenburg , I. J. 1946 . Contributions to the problem of approximation of equidistant data by analytic functions . Appl. Math. , 4 : 45 – 99 .
   Google Scholar
• Schweikert , D. G. 1966 . An interpolation curve using a spline in tension . J. Math. Phys. , 45 : 312 – 317 .
   Web of Science ®Google Scholar