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首页> 外文期刊>IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics >Fast generation of 3-D deformable moving surfaces
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Fast generation of 3-D deformable moving surfaces

机译：快速生成3D变形运动表面

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Dynamic surface modeling is an important subject of geometric modeling due to their extensive applications in engineering design, entertainment and medical visualization. Many deformable objects in the real world are dynamic objects as their shapes change over time. Traditional geometric modeling methods are mainly concerned with static problems, therefore unsuitable for the representation of dynamic objects. Apart from the definition of a dynamic modeling problem, another key issue is how to solve the problem. Because of the complexity of the representations, currently the finite element method or finite difference method is usually used. Their major shortcoming is the excessive computational cost, hence not ideal for applications requiring real-time performance. We propose a representation of dynamic surface modeling with a set of fourth order dynamic partial differential equations (PDEs). To solve these dynamic PDEs accurately and efficiently, we also develop an effective resolution method. This method is further extended to achieve local deformation and produce n-sided patches. It is demonstrated that this new method is almost as fast and accurate as the analytical closed form resolution method and much more efficient and accurate than the numerical methods.
机译：由于动态曲面建模在工程设计，娱乐和医学可视化中的广泛应用，因此是几何建模的重要主题。随着形状的变化，现实世界中的许多可变形对象都是动态对象。传统的几何建模方法主要关注静态问题，因此不适用于动态对象的表示。除了定义动态建模问题之外，另一个关键问题是如何解决该问题。由于表示的复杂性，目前通常使用有限元法或有限差分法。它们的主要缺点是计算成本过高，因此对于需要实时性能的应用而言并不理想。我们提出了一种动态表面建模的表示方法，该模型具有一组四阶动态偏微分方程（PDE）。为了准确有效地解决这些动态PDE，我们还开发了一种有效的解决方法。进一步扩展了此方法以实现局部变形并生成n面色块。结果表明，该新方法几乎与解析闭合形式解析方法一样快，准确，并且比数值方法高效，准确得多。

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