Towards G/sup 2/ curve design with Timmer parametric cubic
Towards G/sup 2/ curve design with Timmer parametric cubic
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采用 Timmer 参数三次方进行 G/sup 2/ 曲线设计
DOI：
10.1109/cgiv.2004.1323969
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
J. Ali
中科院分区：
文献类型：
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作者：
R. Gobithasan;J. Ali
在计算机辅助几何设计领域已经有了大量的研究，以便识别设计对象的算法。Timmer参数立方或Timmer PC是由Harry Timmer推出的，作为传奇贝塞尔曲线的后续。然而，由于它不满足凸包性质CHP，因此没有被利用。从那时起，就没有研究来探索Timmer PC的可能用途和发现其独特性。本文全面地讨论了生成具有G/sup 1/和G/sup 2/连续性的分段Timmer曲线所涉及的步骤。在最后一节中，通过旋转曲面渲染了一个酒杯，作为使用Timmer曲线对设计环境的启示的例子。
There has been vast research in the area of computer aided geometric design in order to identify algorithms to design objects. Timmer parametric cubic or Timmer PC was introduced by Harry Timmer as a follow up to the legendary Bezier curves. However it was then not utilized as it does not satisfy convex hull property, CHP. Since then, there lack studies to explore the possible usages and discover the uniqueness of Timmer PC. This paper discusses comprehensively the steps involved to generate a piecewise Timmer curve with G/sup 1/ and G/sup 2/ continuity. In the last section, a wine glass is rendered via surface of revolution as an example of implication to designing environment using the Timmer curve.