Show simple item record

dc.contributor.authorIngram, Christopheren 14:23:37 (GMT) 14:23:37 (GMT)
dc.description.abstractFor modelling curves, B-splines [3] are among the most versatile control schemes. However, scaling this technique to surface patches has proven to be a non-trivial endeavor. While a suitable scheme exists for rectangular patches in the form of tensor product B-splines, techniques involving the triangular domain are much less spectacular. The current cutting edge in triangular B-splines [2] is the DMS-spline. While the resulting surfaces possess high degrees of continuity, the control scheme is awkward and the evaluation is computationally expensive. A more fundamental problem is the construction bears little resemblance to the construction used for the B-Spline. This deficiency leads to the central idea of the thesis; what happens if the simple blending functions found at the heart of the B-Spline construction are used over higher dimension domains? In this thesis I develop a geometric generalization of B-Spline curves over the triangular domain. This construction mimics the control point blending that occurs with uniform B-Splines. The construction preserves the simple control scheme and evaluation of B-Splines, without the immense computational requirements of DMS-splines. The result is a new patch control scheme, the G-Patch, possessing <i>C</i>0 continuity between adjacent patches.en
dc.format.extent1297902 bytes
dc.publisherUniversity of Waterlooen
dc.rightsCopyright: 2003, Ingram, Christopher. All rights reserved.en
dc.subjectComputer Scienceen
dc.subjectgeometric designen
dc.subjecttriangular surfacesen
dc.titleA Geometric B-Spline Over the Triangular Domainen
dc.typeMaster Thesisen
dc.pendingfalseen of Computer Scienceen
uws-etd.degreeMaster of Mathematicsen

Files in this item


This item appears in the following Collection(s)

Show simple item record


University of Waterloo Library
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
519 888 4883

All items in UWSpace are protected by copyright, with all rights reserved.

DSpace software

Service outages