Adding flexibility to piecewise quadratic curves and surfaces (Q1315823)
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scientific article; zbMATH DE number 516617
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Adding flexibility to piecewise quadratic curves and surfaces |
scientific article; zbMATH DE number 516617 |
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Adding flexibility to piecewise quadratic curves and surfaces (English)
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31 July 1994
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The authors present a method for the flexible design of a piecewise quadratic Bezier curve. More precisely, the resulting curve is globally \(G^ 1\) (like usual quadratic Bezier curves are), but now each segment is subdivided into two quadratic segments which join together with \(G^ 2\) continuity. Moreover, it is shown that convexity of the control polygon is a necessary condition for the new curve to be globally \(G^ 2\); for planar convex control polygons a method for the construction of a globally \(G^ 2\) curve is presented. Finally, the generalization to the surface case is considered. The paper contains a total of 14 figures.
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biquadratic Bezier surfaces
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\(G^ 2\) continuity
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quadratic Bezier curve
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convexity
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control polygon
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0.7769928574562073
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