کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4952691 1442536 2017 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Interpolation with spatial rational Pythagorean-hodograph curves of class 4
ترجمه فارسی عنوان
تعامل با منحنی های فضایی منطقی فیتوگوره-هودوگراف کلاس 4
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
چکیده انگلیسی
The paper presents a construction of rational Pythagorean-hodograph curves of class 4 and reveals their properties. In particular, it is shown that each such curve depends on twelve free parameters and has a piecewise rational arc-length function. Geometric interpolation of two data points and two tangent directions is considered in detail and a closed form solution that depends on two shape parameters is given. Regions of shape parameters are derived that imply the interpolant to be regular and admissible. Further, it is shown that one of the shape parameters can be fixed by additionally prescribing also the length of the interpolant. Theoretical results and the construction of G1 Hermite interpolation splines are illustrated with numerical examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 56, August 2017, Pages 16-34
نویسندگان
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