Abstract | ||
---|---|---|
We prove that it is impossible to parameterize any real plane curve, other than a straight line, by rational functions of its arc length. The proof extends in a straightforward manner to real space curves of any dimension d ⩾ 3. |
Year | DOI | Venue |
---|---|---|
1991 | 10.1016/0167-8396(91)90040-I | Computer Aided Geometric Design |
Keywords | Field | DocType |
unit speed,real rational curve | Topology,Line (geometry),Algebraic geometry,Parametrization,Arc length,Plane curve,Rational function,Mathematics | Journal |
Volume | Issue | ISSN |
8 | 2 | Computer Aided Geometric Design |
Citations | PageRank | References |
40 | 4.47 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Rida T. Farouki | 1 | 1396 | 137.40 |
Takis Sakkalis | 2 | 347 | 34.52 |