Embedded deformation for shape manipulation
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. © 2007 ACM.
2007_Adaptive.png
Thumbnail
openaccess
copyright
97.4 KB
PNG
8f71ea601f2936fdeddf2cbd2c6bb0dd
sumner_2007_EDS.pdf
openaccess
1.11 MB
Adobe PDF
3229d3b4a9e8e9c6547a6ca582398bb2