کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6876708 | 691383 | 2014 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
C1 interpolation by rational biarcs with rational rotation minimizing directed frames
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
An interpolation scheme to construct rational spatial biarcs of degree eight along with rational rotation-minimizing directed frames of degree six is presented. The method is significant for the applications in camera motion planning. Namely, the interpolating biarc and the associated frame can be used to define the trajectory and the orientation of a camera while imaging a prescribed stationary object. The input data needed by the proposed scheme are the initial and the final curve positions and tangent vectors, together with the associated end frame orientations. Biarcs are used in order to reduce the degree of the resulting curve and of the frame as much as possible. The smoothness required for both the curve and the frame is C1 and, under some mild data restrictions, it can be increased to C2 at the point where the two arcs join. Numerical examples confirm that the scheme behaves well in practice.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 31, Issues 7â8, October 2014, Pages 427-440
Journal: Computer Aided Geometric Design - Volume 31, Issues 7â8, October 2014, Pages 427-440
نویسندگان
Marjeta Krajnc, Maria Lucia Sampoli, Alessandra Sestini, Emil Žagar,