2026-06-26T10:10:29Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/577712023-08-27T02:35:26Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Muñoz Masqué, Jaime
author
Pozo Coronado, Luis Miguel
2023-06-20T17:06:06Z
2023-06-20T17:06:06Z
1999
0266-5611
10.1088/0266-5611/15/4/303
https://hdl.handle.net/20.500.14352/57771
http://iopscience.iop.org/0266-5611/15/4/303/pdf/0266-5611_15_4_303.pdf
http://iopscience.iop.org
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.
eng
Unrolling and rolling of curves in non-convex surfaces.
journal article
URL
https://docta.ucm.es/bitstreams/46ecfe77-d090-45f1-9245-4fe3bb06e197/download
File
MD5
ae9ebd6653bb31376f3e4741708daea9
192765
application/pdf
Pozo06.pdf