Interactive physically-based shape editing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
A survey of spatial deformation from a user-centered perspective
ACM Transactions on Graphics (TOG)
Interactive physically-based shape editing
Computer Aided Geometric Design
Technical Section: Interactive free-form level-set surface-editing operators
Computers and Graphics
A User-editable C1-Continuous 2.5D Space Deformation Method For 3D Models
Electronic Notes in Theoretical Computer Science (ENTCS)
Continuous deformations by isometry preserving shape integration
Proceedings of the 7th international conference on Curves and Surfaces
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Vector Field Based Shape Deformations (VFSD) have been introduced as an efficient method to deform shapes in a volume-preserving foldover-free manner. However, mainly simple implicitly defined shapes like spheres or cylinders have been explored as deformation tools by now. In contrast, boundary constraint modeling approaches enable the user to exactly define the support of the deformation on the surface. We present an approach to explicitly control VFSD: a scalar function together with two thresholds is placed directly on the shape to mark regions of full, zero, and blended deformation. The resulting deformation is volumepreserving and free of local self-intersections. In addition, the full deformation is steered by a 3D parametric curve and a parametric twisting function. This way our deformations appear to be a generalization of the boundary constraint modeling metaphor. We apply our approach in different scenarios. A parallelization of the computation on the GPU allows for editing high-resolution meshes at interactive speed.