0000000000315964

AUTHOR

Fausto Ongay

showing 1 related works from this author

An isoperimetric type problem for primitive Pythagorean hodograph curves

2012

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.

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 inequalityMathematicsComputer Aided Geometric Design
researchProduct