Embedded deformation for shape manipulation
Embedded deformation for shape manipulation
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DOI：
10.1145/1275808.1276478
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发表时间：
2007-07
期刊：
影响因子：
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通讯作者：
R. Sumner;Johannes Schmid;M. Pauly
中科院分区：
文献类型：
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作者：
R. Sumner;Johannes Schmid;M. Pauly
我们提出了一种算法，通过直接操作产生自然和直观的变形，适用于广泛的形状表示和编辑场景。我们的方法建立了一个由一组以图结构组织的仿射变换表示的空间变形。一个变换与每个图形节点相关联，并将变形应用到附近的空间。位置约束是在嵌入对象的点上指定的。当用户操作约束时，一个非线性最小化问题被求解以找到仿射变换的最佳值。通过测量每个变换与真实旋转的偏差，将特征保留直接编码在目标函数中。该算法解决了“嵌入变形”的问题，因为它通过直接操作嵌入其中的对象来变形空间，同时保留了嵌入对象的特征。我们通过编辑网格、多边形汤、网格动画和动画粒子系统来演示我们的方法。
We present an algorithm that generates natural and intuitive deformations via direct manipulation for a wide range of shape representations and editing scenarios. Our method builds a space deformation represented by a collection of affine transformations organized in a graph structure. One transformation is associated with each graph node and applies a deformation to the nearby space. Positional constraints are specified on the points of an embedded object. As the user manipulates the constraints, a nonlinear minimization problem is solved to find optimal values for the affine transformations. Feature preservation is encoded directly in the objective function by measuring the deviation of each transformation from a true rotation. This algorithm addresses the problem of "embedded deformation" since it deforms space through direct manipulation of objects embedded within it, while preserving the embedded objects' features. We demonstrate our method by editing meshes, polygon soups, mesh animations, and animated particle systems.