Document Type
Report
Source Publication Title
Technical Report 310
Abstract
A developable surface can be developed from a piece of planar region, or vice versa. Several methods are known to construct an isometric mapping between the developable and the planar region. A simple and efficient algorithm based on the differential geometry and differential equations is presented to construct such an isometric mapping. This algorithm contains a deformation parameter ^, where ^ varies between 0 and 1, that can trace the development of the surface in a fashion that ^ = 0 corresponds to the planar region and ^ = 1 recovers the developable. An error estimation shows the error, in the sense of the developability of a developable, which depends on the method of solving the DE. Several numerical experiments have shown satisfactory results.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
2-1-1996
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Hsu, Chili Ping, "Continuous Deformation of a Developable Surface" (1996). Mathematics Technical Papers. 330.
https://mavmatrix.uta.edu/math_technicalpapers/330