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Meetkundige kontinuiteit en Bezier-krommes

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dc.contributor.author Coetzee MA en
dc.date.accessioned 2016-09-22T07:16:27Z
dc.date.available 2016-09-22T07:16:27Z
dc.date.submitted 1991 en
dc.identifier.uri http://hdl.handle.net/20.500.11892/9911
dc.description.abstract The purpose of this thesis is to answer the following question: Given the control polygons of two B�zier curves, what restrictions should be imposed on the control points of the second curve to ensure that the two curves combine with a specified degree of continuity? Geometric continuity is a relatively new research area, and the concept causes a lot of confusion for those not familiar with it. A thorough explanation of geometric continuity is given. B�zier curves are studied, and three different approaches for constructing curves are defined. It is proved that these three construction methods are equivalent, and that they can be used to construct so-called B�zier curves. Their derivatives are also required to investigate the continuity of B�zier curves, and these are calculated using Bernstein polynomials. Investigating the continuity of composite B�zier curves, this study shows that certain restrictions on the control points of the curves will ensure that they combine with a specific type and degree of continuity. en
dc.language Afrikaans en
dc.subject Mathematics, Mathematical statistics and Statistics en
dc.subject Geometry en
dc.title Meetkundige kontinuiteit en Bezier-krommes en
dc.type Masters degree en
dc.description.degree MSc en

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