| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 440635 | Computer Aided Geometric Design | 2012 | 22 Pages |
Abstract
An isoperimetric type problem for primitive Pythagorean hodograph curves is studied. We show how to compute, for each possible degree, the Pythagorean hodograph curve of a given perimeter enclosing the greatest area. We also discuss the existence and construction of smooth solutions, obtaining a relationship with an interesting sequence of Appell polynomials.
► An isoperimetric type problem for primitive Pythagorean hodograph curves is studied. ► We show how to compute, for each possible degree, the Pythagorean hodograph curve of a given perimeter enclosing the greatest area. ► The existence and construction of smooth solutions is discussed, obtaining a relationship with an interesting sequence of Appell polynomials.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
J. Monterde, F. Ongay,