Show simple item record

dc.contributor.authorHsu, Chili Pingen
dc.date.accessioned2010-06-08T17:46:00Zen
dc.date.available2010-06-08T17:46:00Zen
dc.date.issued1996-02en
dc.identifier.urihttp://hdl.handle.net/10106/2394en
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.isoen_USen
dc.publisherUniversity of Texas at Arlingtonen
dc.relation.ispartofseriesTechnical Report;310en
dc.subjectAlgorithmsen
dc.subjectIsometric mappingen
dc.subjectDifferential geometryen
dc.subjectIsometric mappingen
dc.subjectPlanar regionen
dc.subjectAlgorithmen
dc.subjectDifference equationsen
dc.subjectDifferential equationsen
dc.subjectDevelopableen
dc.subject.lcshComputer-aided designen
dc.subject.lcshGeometry, Differentialen
dc.subject.lcshMathematics Researchen
dc.subject.lcshMathematics Researchen
dc.titleContinuous Deformation of a Developable Surfaceen
dc.typeTechnical Reporten
dc.publisher.departmentDepartment of Mathematicsen


Files in this item

Thumbnail


This item appears in the following Collection(s)

Show simple item record