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In this paper, we introduce a new method to construct a parametric surface in terms of curves and points lying on Euclidean 3-space, called a $C^0$-Hermite surface interpolation. We also prove the existence of a $C^0$-Hermite interpolation of isoparametric surfaces with the so-called marching scale functions, and give some examples. Finally, we construct ruled surfaces and surfaces foliated by a circle as an isoparametric surface.
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참고문헌 (7)
참고문헌 신청
R. Bremond / 1994 / Estimation of the transport properties of polymer composites by geodesic propagation / J. Microsc 176:167~177
R. J. Haw / 1985 / An application of geodesic curves to sail design / Comput. Gragh. Forum 4:137~139
E. Kasap / 2008 / A generalization of surfaces family with common spatial geodesic / Appl. Math. Comput 201(1-2):781~789
C. -Y. Li / 2011 / Design and G1 connection of developable surfaces through Bezier geodesics / Appl. Math. Comput 218(7):3199~3208
M. Paluszny / 2008 / Cubic polynomial patches through geodesics / Comput. Aided Des 40:56~61
R. J. Haw / 1985 / An application of geodesic curves to sail design / Comput. Gragh. Forum 4:137~139
E. Kasap / 2008 / A generalization of surfaces family with common spatial geodesic / Appl. Math. Comput 201(1-2):781~789
C. -Y. Li / 2011 / Design and G1 connection of developable surfaces through Bezier geodesics / Appl. Math. Comput 218(7):3199~3208
M. Paluszny / 2008 / Cubic polynomial patches through geodesics / Comput. Aided Des 40:56~61
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