Kempe's Universality Theorem for Rational Space Curves
نویسندگان
چکیده
We prove that every bounded rational space curve of degree d and circularity c can be drawn by a linkage with 2 d − 6c + 1 revolute joints. Our proof is based on two ingredients. The first one is the factorization theory of motion polynomials. The second one is the construction of a motion polynomial of minimum degree with given orbit. Our proof also gives the explicity construction of the linkage.
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ورودعنوان ژورنال:
- Foundations of Computational Mathematics
دوره 18 شماره
صفحات -
تاریخ انتشار 2018