Name
Abstract | ||
|---|---|---|
We prove that every bounded rational space curve of degree and circularity can be drawn by a linkage with 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 explicit construction of the linkage. |
Year | DOI | Venue |
|---|---|---|
2015 | https://doi.org/10.1007/s10208-017-9348-x | Foundations of Computational Mathematics |
Keywords | Field | DocType |
Dual quaternion,Motion polynomial,Factorization,Bennett flip,Linkage,Primary 70B05,Secondary 13F20,65D17,68U07 | Orbit,Combinatorics,Mathematical optimization,Dual quaternion,Polynomial,Mathematical analysis,Revolute joint,Factorization,Universality (philosophy),Factorization of polynomials,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
abs/1509.08690 | 2 | 1615-3375 |
Citations | PageRank | References |
0 | 0.34 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zijia Li | 1 | 34 | 4.03 |
| josef schicho | 2 | 9 | 4.35 |
| hanspeter schrocker | 3 | 9 | 4.35 |