Geometric trimming of B-spline surfaces

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dc.contributor.authorRojas, Robertoen
dc.contributor.departmentMechanical Engineeringen
dc.date.accessioned2014-03-14T21:27:15Zen
dc.date.adate2009-01-17en
dc.date.available2014-03-14T21:27:15Zen
dc.date.issued1994en
dc.date.rdate2009-01-17en
dc.date.sdate2009-01-17en
dc.description.abstractThis research studies the topic of geometric surface trimming. Most of the work that has been done on surface trimming refers to visual trimming, in which, unwanted portions of a surface patch are not removed but simply hidden. Geometric trimming actually removes the unwanted portion of a surface patch, and in the process, produces a new mathematical surface or set of surface patches. The new surface or surface patches produced should closely resemble the original surface which is being trimmed. However, since the entire procedure involves the creation of a new geometry, the resulting surface will not, in general, be identical with the remaining portion of the original one. For this reason, a means to measure the error in approximating the original surface is implemented and this error is minimized. Trimming criteria is provided by mapping the trimming curves from the two-dimensional parametric space on to the three-dimensional B-spline surface. Since visualization for this kind of procedure is vital a tool kit has been developed, using PHIGS, to model B-spline surfaces along with their approximate trimmed surfaces as well as the approximation error involved.en
dc.description.degreeMaster of Scienceen
dc.format.extentxi, 200 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-01172009-063119en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-01172009-063119/en
dc.identifier.urihttp://hdl.handle.net/10919/40634en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1994.R653.pdfen
dc.relation.isformatofOCLC# 32290124en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1994.R653en
dc.subject.lcshComputer-aided designen
dc.subject.lcshGeometrical modelsen
dc.titleGeometric trimming of B-spline surfacesen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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