3 papers
math.NA2024
Robust path following for autonomous vehicles with spatial PH quintic splines
Vincenzo Calabrò, Carlotta Giannelli, Lorenzo Sacco +1
The distinctive feature of a polynomial parametric speed let polynomial Pythagorean-hodograph (PH) curves be attractive for the design of accurate and efficient application algorit…
math.NA2024
Piecewise rational rotation-minimizing motions via data stream interpolation
Carlotta Giannelli, Lorenzo Sacco, Alessandra Sestini +1
When a moving frame defined along a space curve is required to keep an axis aligned with the tangent direction of motion, the use of rotation-minimizing frames (RMF) avoids unneces…
math.NA2021
A local Hermite interpolation scheme with PH quintic splines for 3D data streams
Carlotta Giannelli, Lorenzo Sacco, Alessandra Sestini
The construction of smooth spatial paths with Pythagorean-hodograph (PH) quintic spline biarcs is proposed. To facilitate real-time computations of PH quintic splines, an eff…