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Continuous Deformation of a Developable Surface

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Continuous Deformation of a Developable Surface

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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 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

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