Remeshing and mapping of internal state variables in large deformation processes.
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Space deformation is an important tool in computer animation and shape design. We propose a new local deformation model based on generalized metaballs. The user specifies a series of constraints, which can be made up of points, lines, surfaces and volumes, their effective radii and maximum displacements; the deformation model creates a generalized metaball for each constraint. Each generalized metaball is associated with a potential function centered on the constraint, the potential function drops from 1 on the constraint to 0 on the effective radius. This deformation model operates on the local space and is independent of the underlining representation of the object to be deformed. The deformation can be finely controlled by adjusting the parameters of the generalized metaballs. We also present some extensions and the extended deformation model to include scale and rotation constraints. Experiments show that this deformation model is efficient and intuitive. It can deal with various constraints, which is difficult for traditional deformation model.
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Shape deformation methods are important in such fields as geometric modeling and computer animation. In biology, modeling of shape, growth, movement and pathologies of living microscopic organisms or cells require smooth deformations, which are essentially 2D with little change in depth. In this paper, we present a 2.5D space deformation method. The 3D model is modified by deforming an enclosing control grid of prisms. Spline interpolation is used to satisfy the smoothness requirement. We implemented this method in an editor which makes it possible to define and modify the deformation with the mouse in a user-friendly way. The experimental results show that the method is simple and effective.
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