We present a construction for polynomial spline surfaces with a piecewise linear field of normal vectors. As main advantageous feature these surfaces possess exact rational offsets. The spline surface is composed of quartic Clough–Tocher-type macro elements. Each element is capable of matching boundary data consisting of three points with associated normal vectors. The collection of the macro elements forms a G1 continuous spline surface. With the help of a reparamaterization technique we obtain an exact rational representation of the offset surfaces by rational triangular spline surfaces of degree 10.

B., J., & Sampoli, M.L. (2000). Hermite interpolation by piecewise polynomial surfaces with rational offsets. COMPUTER AIDED GEOMETRIC DESIGN, 17(4), 361-385 [10.1016/S0167-8396(00)00002-9].

Hermite interpolation by piecewise polynomial surfaces with rational offsets

SAMPOLI, MARIA LUCIA
2000

Abstract

We present a construction for polynomial spline surfaces with a piecewise linear field of normal vectors. As main advantageous feature these surfaces possess exact rational offsets. The spline surface is composed of quartic Clough–Tocher-type macro elements. Each element is capable of matching boundary data consisting of three points with associated normal vectors. The collection of the macro elements forms a G1 continuous spline surface. With the help of a reparamaterization technique we obtain an exact rational representation of the offset surfaces by rational triangular spline surfaces of degree 10.
B., J., & Sampoli, M.L. (2000). Hermite interpolation by piecewise polynomial surfaces with rational offsets. COMPUTER AIDED GEOMETRIC DESIGN, 17(4), 361-385 [10.1016/S0167-8396(00)00002-9].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/38029
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo