The Condition of quadratic and cubic bezier curves to touch a constraint line
| dc.contributor.author | Ahmad Shukri, Fuziatul Norsyiha | |
| dc.date.accessioned | 2015-07-30T00:35:46Z | |
| dc.date.available | 2015-07-30T00:35:46Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | Bezier is one of the most influential polynomial representations for interpolation. The Bezier interpolating curve always lies within the convex hull of its control points and it never oscillates wildly away from the control points. Bezier polynomial interpolation has wide applications because it is easy to compute and is also very stable. In this dissertation, discussion is made on the conditions for quadratic and cubic Bezier curve to touch a constraint line. Thus, control points play important role in order to achieve this goal because control points can oscillate and will illustrate a various shape of Bezier curve. However, the first control point and the last control point of quadratic and cubic Bezier curve will be given in this dissertation. Hence, only the middle control point will change the whole shape of each Bezier curve. Therefore, in order to determine the condition of quadratic and cubic Bezier curve so as to touch a constraint line, the location of each middle control points has to be identified so that the curve will only touch the constraint line but without crossing it. | en_US |
| dc.identifier.uri | http://hdl.handle.net/123456789/883 | |
| dc.language.iso | en | en_US |
| dc.subject | Cubic bezier curves | en_US |
| dc.subject | Constraint line | en_US |
| dc.title | The Condition of quadratic and cubic bezier curves to touch a constraint line | en_US |
| dc.type | Thesis | en_US |
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