Closed Curve Blending Based on Curvature Flow
Closed Curve Blending Based on Curvature Flow
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发表时间：
2017
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通讯作者：
M. Hirano;Yoshihiro Watanabe;M. Ishikawa
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作者：
M. Hirano;Yoshihiro Watanabe;M. Ishikawa
我们提出了一种新的封闭曲线混合技术，描述了一对封闭的多边形在一个平面之间的连续和渐进的过渡。本研究的主要贡献是以曲率流的概念来描述闭曲线的过渡问题。曲率流被设计成由关于曲率的L内积的适当的能量函数导出的梯度流。通过设计适当的能量函数，可以构造在线性约束下从源多边形到目标多边形的线性曲率流。该方法实现了自然的混合，并有助于显着减少计算时间相比，相关的方法。
We propose a novel closed curve-blending technique that describes continuous and gradual transitions between a pair of closed polygons in a plane. The main contribution of this study is to formulate the closed curve-blending problem in terms of curvature flow. The curvature flow is designed to be a gradient flow derived by an appropriate energy function with respect to an L inner product on curvature. By designing an appropriate energy function, we can construct linear curvature flow that travels from the source polygon to the target polygon under linear constraints. This method achieves natural blending and contributes to a significant reduction in computation time in comparison with related methods.