6533b7d8fe1ef96bd126a266

RESEARCH PRODUCT

An isoperimetric type problem for primitive Pythagorean hodograph curves

Juan MonterdeFausto Ongay

subject

Pure mathematicsSequenceDegree (graph theory)Mathematics::General MathematicsMathematical analysisAerospace EngineeringPythagorean fieldType (model theory)Computer Graphics and Computer-Aided DesignPythagorean hodographNonlinear Sciences::Exactly Solvable and Integrable SystemsModeling and SimulationPythagorean tripleAutomotive EngineeringIsoperimetric inequalityMathematics

description

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.

yearjournalcountryeditionlanguage
2012-11-01Computer Aided Geometric Design
https://doi.org/10.1016/j.cagd.2012.06.002