Intersection of B-spline surfaces by elimination method

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dc.contributor.authorWong, Chee Kiangen
dc.contributor.departmentMechanical Engineeringen
dc.date.accessioned2014-03-14T21:30:34Zen
dc.date.adate2009-03-03en
dc.date.available2014-03-14T21:30:34Zen
dc.date.issued1990en
dc.date.rdate2009-03-03en
dc.date.sdate2009-03-03en
dc.description.abstractParametric surface representations such as the B-spline and Bezier geometries are widely used among the aerospace, automobile, and shipbuilding industries. These surfaces have proven to be very advantageous for defining and combining primitive geometries to form complex models. However, the task of finding the intersection curve between two surfaces has remained a difficult one. Presently, most of the research done in this area has resulted in various subdivision techniques. These subdivision techniques are based on approximations of the surface using planar polygons. This thesis presents an analytical approach to the intersection problem. The approach taken is to approximate the B-spline surface using subsets such as the ruled surface. Once the B-spline surface has been simplified, elimination techniques which solve for the surface variables can be used to analytically determine the intersection curve between two B-spline surfaces.en
dc.description.degreeMaster of Scienceen
dc.format.extentviii, 232 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-03032009-040559en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-03032009-040559/en
dc.identifier.urihttp://hdl.handle.net/10919/41356en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1990.W675.pdfen
dc.relation.isformatofOCLC# 23657922en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1990.W675en
dc.subject.lcshParameter estimationen
dc.titleIntersection of B-spline surfaces by elimination methoden
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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