کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6876705 | 691383 | 2014 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A fully data-dependent criterion for free angles selection in spatial PH cubic biarc Hermite interpolation
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A fully data-dependent criterion for free angles selection in spatial PH cubic biarc Hermite interpolation A fully data-dependent criterion for free angles selection in spatial PH cubic biarc Hermite interpolation](/preview/png/6876705.png)
چکیده انگلیسی
Cubic biarcs are the natural counterpart, in the context of the PH spatial Hermite interpolation, of piecewise quadratics for Hermite interpolation of standard parametric curves. Recently, it has been shown that, spatial Hermite interpolation can be always treated with PH cubic biarcs, providing an interesting alternative to the use of higher degrees, see Bastl et al. (2014). Beside the parameter value at the joint of the two arcs, which is typically free in any scheme of this kind, two free angular parameters remain. They should be automatically fixed by some suitable criterion in order to ensure the generation of interpolants with a reasonable shape. In this paper, an alternative to the constant choice of free parameters presented in Bastl et al. (2014) is proposed. It consists of an extension of the so called CC selection strategy introduced in Farouki et al. (2008) to the biarc setting. Such strategy is fully data-dependent, does not require any special configuration of the coordinate system and it guarantees the PH cubic reproduction when such kind of the interpolant exists. Moreover, the obtained scheme possesses other two important features, i.e. it is third order accurate and gives the possibility to control the torsion sign of the produced interpolant, in case with the introduction of an additional tension parameter relaxing the smoothness from C1 to G1. The numerical results, based also on the straightforward spline extension of the scheme, confirm the developed theoretical analysis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 31, Issues 7â8, October 2014, Pages 398-411
Journal: Computer Aided Geometric Design - Volume 31, Issues 7â8, October 2014, Pages 398-411
نویسندگان
Alessandra Sestini, Karla FerjanÄiÄ, Carla Manni, Maria Lucia Sampoli,