dc.contributor.author | Hsu, Chili Ping | en |
dc.date.accessioned | 2010-06-08T17:46:00Z | en |
dc.date.available | 2010-06-08T17:46:00Z | en |
dc.date.issued | 1996-02 | en |
dc.identifier.uri | http://hdl.handle.net/10106/2394 | en |
dc.description.abstract | **Please note that the full text is embargoed** 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. | en |
dc.language.iso | en_US | en |
dc.publisher | University of Texas at Arlington | en |
dc.relation.ispartofseries | Technical Report;310 | en |
dc.subject | Algorithms | en |
dc.subject | Isometric mapping | en |
dc.subject | Differential geometry | en |
dc.subject | Isometric mapping | en |
dc.subject | Planar region | en |
dc.subject | Algorithm | en |
dc.subject | Difference equations | en |
dc.subject | Differential equations | en |
dc.subject | Developable | en |
dc.subject.lcsh | Computer-aided design | en |
dc.subject.lcsh | Geometry, Differential | en |
dc.subject.lcsh | Mathematics Research | en |
dc.subject.lcsh | Mathematics Research | en |
dc.title | Continuous Deformation of a Developable Surface | en |
dc.type | Technical Report | en |
dc.publisher.department | Department of Mathematics | en |