首页> 外文会议>International Conference on the Mathematics of Surfaces; 20070904-06; Sheffield(GB) >Implicit Boundary Control of Vector Field Based Shape Deformations
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Implicit Boundary Control of Vector Field Based Shape Deformations

机译:基于矢量场的形状变形的隐式边界控制

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We present a shape deformation approach which preserves volume, prevents self-intersections and allows for exact control of the deformation impact. The volume preservation and prevention of self-intersections are achieved by utilizing the method of Vector Field Based Shape Deformations. This method produces physically plausible deformations efficiently by integrating formally constructed divergence-free vector fields, where the region of influence is described by implicitly defined shapes. We introduce an implicit representation of deformation boundaries, which allows for an exact control of the deformation: By placing the boundaries directly on the shape surface, the user can specify precisely where the shape should be deformed and where not. The simple polygonal representation of the boundaries allows for a GPU implementation, which is able to deform high-resolution meshes in real-time.
机译:我们提出一种形状变形方法,该方法可以保留体积,防止自相交并允许精确控制变形影响。利用基于矢量场的形状变形方法可以实现体积的保留和防止自相交。该方法通过对形式上正确的无散度矢量场进行积分来有效地产生物理上合理的变形,其中影响区域由隐式定义的形状描述。我们引入了变形边界的隐式表示,从而可以精确地控制变形:通过将边界直接放置在形状表面上,用户可以精确地指定形状应在何处变形,何处不应该变形。边界的简单多边形表示允许GPU实施,它能够实时变形高分辨率网格。

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