RT Journal Article
T1 Unrolling and rolling of curves in non-convex surfaces.
A1 Muñoz Masqué, Jaime
A1 Pozo Coronado, Luis Miguel
AB The notion of unrolling of a spherical curve is proved to coincide with its development into the tangent plane. The development of a curve in an arbitrary surface in the Euclidean 3-space is then studied from the point of view of unrolling. The inverse operation, called the rolling of a curve onto a surface, is also analysed and the relationship of such notions with the functional defined by the square of curvature is stated. An application to the construction of nonlinear splines on Riemannian surfaces is suggested.
PB Iop science
SN 0266-5611
YR 1999
FD 1999
LK https://hdl.handle.net/20.500.14352/57771
UL https://hdl.handle.net/20.500.14352/57771
LA eng
NO CICYT
DS Docta Complutense
RD 27 abr 2025