Good vibrations: modal dynamics for graphics and animation
Good vibrations: modal dynamics for graphics and animation
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DOI：
10.1145/74333.74355
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发表时间：
1989-07
期刊：
影响因子：
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通讯作者：
A. Pentland;John Williams
中科院分区：
文献类型：
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作者：
A. Pentland;John Williams
通过分别描述几何和动力学，使用针对其中一个或另一个优化的表示，然后将这些表示耦合在一起，可以最大限度地减少模拟和呈现非刚性对象的复杂系统的许多问题。我们描述了一个系统，它使用多项式变形映射将物体动力学的振动模式（“模态”）表示与物体几何的体积模型耦合在一起。通过使用这种混合表示，我们已经能够获得高达两个数量级的效率，控制时间混叠，并获得常见（非刚性）逆动力学问题的简单，封闭形式的解决方案。此外，这种动态模拟方法自然适合于传统动画中使用的强调和夸张技术。
Many of the problems of simulating and rendering complex systems of non-rigid objects can be minimized by describing the geometry and dynamics separately, using representations optimized for either one or the other, and then coupling these representations together. We describe a system which uses polynomial deformation mappings to couple a vibration-mode (" modal") representation of object dynamics together with volumetric models of object geometry. By use of such a hybrid representation we have been able to gain up to two orders of magnitude in efficiency, control temporal aliasing, and obtain simple, closed-form solutions to common (non-rigid) inverse dynamics problems. Further, this approach to dynamic simulation naturally lends itself to the emphasis and exaggeration techniques used in traditional animation.