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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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Representing planar Pythagorean hodograph (PH) curves by the complex roots of their hodographs, we standardize Farouki's double cubic method to become the undetermined junction point (UJP) method,and then prove the generic existence of solutions for general C1 Hermite interpolation problems. We also extend the UJP method to solve C2Hermite interpolation problems with multiple PH cubics, and also prove the generic existence of solutions which consist of triple PH cubics with C1 junction points. Further generalizing the UJP method, we go on to solve C2 Hermite interpolation problems using two PH quintics with a C1junction point, and we also show the possibility of applying the modi ed UJP method to G2[C1] Hermite interpolation.
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참고문헌 (26)
참고문헌 신청
B. Juttler / 1999 / Cubic Pythagorean hodograph spline curves and applications to sweep surface modeling / Computer-Aided Design 31 : 73 ~ 83
B. Juttler / 2001 / Hermite interpolation by Pythagorean hodograph curves of degree seven / Math. Comp 70 (235) : 1089 ~ 1111
C. Manni / 2004 / Characterization and construction of helical polynomial space curves / J. Comput. Appl. Math 162 (2) : 365 ~ 392
F. Pelosi / 2005 / Geometric Hermite interpolation by spatial Pythagorean hodograph cubics / Adv. Com
G. Albrecht / 1996 / Construction of C2 Pythagorean-hodograph interpolating splines by the homotopy method / Adv. Comput. Math 5 (4) : 417 ~ 442
B. Juttler / 2001 / Hermite interpolation by Pythagorean hodograph curves of degree seven / Math. Comp 70 (235) : 1089 ~ 1111
C. Manni / 2004 / Characterization and construction of helical polynomial space curves / J. Comput. Appl. Math 162 (2) : 365 ~ 392
F. Pelosi / 2005 / Geometric Hermite interpolation by spatial Pythagorean hodograph cubics / Adv. Com
G. Albrecht / 1996 / Construction of C2 Pythagorean-hodograph interpolating splines by the homotopy method / Adv. Comput. Math 5 (4) : 417 ~ 442
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