2 papers
cs.RO2024
PHODCOS: Pythagorean Hodograph-based Differentiable Coordinate System
Jon Arrizabalaga, Fausto Vega, Zbyněk ŠÍR +2
This paper presents PHODCOS, an algorithm that assigns a moving coordinate system to a given curve. The parametric functions underlying the coordinate system, i.e., the path functi…
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…