Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Extended free-form deformation: a sculpturing tool for 3D geometric modeling
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Direct manipulation of free-form deformations
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Animating soft substances with implicit surfaces
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Free-form deformations with lattices of arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Wires: a geometric deformation technique
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Fast volume-preserving free form deformation using multi-level optimization
Proceedings of the fifth ACM symposium on Solid modeling and applications
Volume-Preserving Free-Form Solids
IEEE Transactions on Visualization and Computer Graphics
Preventing Self-Intersection under Free-Form Deformation
IEEE Transactions on Visualization and Computer Graphics
Global and local deformations of solid primitives
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
A two-dimensional interpolation function for irregularly-spaced data
ACM '68 Proceedings of the 1968 23rd ACM national conference
Blendeforming: Ray Traceable Localized Foldover-Free Space Deformation
CGI '01 Proceedings of the International Conference on Computer Graphics
Sweepers: Swept User-Defined Tools for Modeling by Deformation
SMI '04 Proceedings of the Shape Modeling International 2004
Differential Coordinates for Interactive Mesh Editing
SMI '04 Proceedings of the Shape Modeling International 2004
Approximate distance fields with non-vanishing gradients
Graphical Models
An intuitive framework for real-time freeform modeling
ACM SIGGRAPH 2004 Papers
Mesh editing with poisson-based gradient field manipulation
ACM SIGGRAPH 2004 Papers
Swirling-Sweepers: Constant-Volume Modeling
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Linear rotation-invariant coordinates for meshes
ACM SIGGRAPH 2005 Papers
Vector field based shape deformations
ACM SIGGRAPH 2006 Papers
Volume-preserving space deformation
Computers and Graphics
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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 selfintersections 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.