Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Surfaces over Dirichlet Tessellations
Computer Aided Geometric Design
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
Deformation of n-dimensional objects
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
Direct manipulation of free-form deformations
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Simple constrained deformations for geometric modeling and interactive design
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
A generalized de Casteljau approach to 3D free-form deformation
SIGGRAPH '94 Proceedings of the 21st 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
Geometric deformation by merging a 3D-object with a simple shape
GI '96 Proceedings of the conference on Graphics interface '96
Wires: a geometric deformation technique
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Introduction to Computer Graphics
Introduction to Computer Graphics
A system for sculpting 3-D data
SIGGRAPH '77 Proceedings of the 4th annual conference on Computer graphics and interactive techniques
Linear combination of transformations
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
'Meshsweeper': Dynamic Point-to-Polygonal-Mesh Distance and Applications
IEEE Transactions on Visualization and Computer Graphics
Preventing Self-Intersection under Free-Form Deformation
IEEE Transactions on Visualization and Computer Graphics
Interactive Space Deformation with Hardware-Assisted Rendering
IEEE Computer Graphics and Applications
Blendeforming: Ray Traceable Localized Foldover-Free Space Deformation
CGI '01 Computer Graphics International 2001
Dirichlet Free-Form Deformations and their Application to Hand Simulation
CA '97 Proceedings of the Computer Animation
Global and local deformations of solid primitives
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Shape modeling with point-sampled geometry
ACM SIGGRAPH 2003 Papers
Swirling-Sweepers: Constant-Volume Modeling
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
A survey of spatial deformation from a user-centered perspective
ACM Transactions on Graphics (TOG)
A spatial warping method for freeform modeling based on a level-set method
Computer-Aided Design
Model transduction for triangle meshes
Journal of Computer Science and Technology
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Sweepers is a framework for defining space deformation operations for interactive shape modeling. The artist describes a basic deformation as a path through which a tool is moved. Our tools are simply shapes. So we can use shapes already created as customized tools to make more complex shapes or to simplify the modeling process. When a tool is moved, it causes a deformation of the working shape along the path of the tool. More complicated deformations are achieved by using several tools simultaneously in the same region. It is desirable that deformations for modeling are 'foldover-free,' so that the deformations are reversible. Our deformations can satisfy this criterion. We have an efficient formulation for a single tool following a simple path and we have a formula for blending conveniently the effects of multiple tools used simultaneously. For representing shapes, we provide a mesh refinement and decimation algorithm specially adapted to our deformations.