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Arc-Length Preserving Curve Deformation Based On Subdivision

机译:基于细分的弧长保持曲线变形

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The length of an object's skeleton usually remains constant when it is deformed. This paper presents an arc-length preserving deformation based on subdivision. Discrete the curve into a polyline, then the polyline is deformed with its arc-length preserved in the sense of minimizing energy. Subdivision method is applied to obtain a smooth curve (at least C{sup}1 smooth) with proper weights selected to keep the length of the resulting curve equal to the original curve. This technique also provides interactive response by progressively refining the solution of the optimization problem.
机译:当变形时,物体骨架的长度通常保持恒定。本文介绍了基于细分的弧长保持变形。将曲线离散到折线中,然后将折线变形,其弧度保持在最小化能量的意义上。应用细分方法以获得具有选择的适当权重的平滑曲线(至少C {sup} 1平滑),以保持所得曲线的长度等于原始曲线。该技术还通过逐步改进优化问题的解决方案来提供交互式响应。

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