Curvature continuous corner cutting
Informazioni aggiuntive
Autori
Hormann K.,
Mancinelli C.
Tipo
Articolo pubblicato in rivista scientifica
Anno
2024
Lingua
Inglese
Sommario
Subdivision schemes are used to generate smooth curves by iteratively refining an initial control polygon. The simplest such schemes are corner cutting schemes, which specify two distinct points on each edge of the current polygon and connect them to get the refined polygon, thus cutting off the corners of the current polygon. While de Boor (1987) shows that this process always converges to a Lipschitz continuous limit curve, no matter how the points on each edge are chosen, Gregory and Qu (1996) discover that the limit curve is continuously differentiable under certain constraints. We extend these results and show that the limit curve can even be curvature continuous for specific sequences of cut ratios.
Parole chiave
Subdivision, Corner cutting, Curvature continuity
Periodico
Computer aided geometric design
Volume
114
Numero ( Mese )
102392
Diffusione
Licenza
CC BY
Visibilità
Pubblico
Status open access
Hybrid
