Regularization of inverse visual problems involving discontinuities
IEEE Transactions on Pattern Analysis and Machine Intelligence
Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Constraints on deformable models: recovering 3D shape and nongrid motion
Artificial Intelligence
Mathematical methods for CAD
Using deformable surfaces to segment 3-D images and infer differential structures
CVGIP: Image Understanding
Box splines
The NURBS book
Realistic modeling for facial animation
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Simulating facial surgery using finite element models
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Triangular NURBS and their dynamic generalizations
Computer Aided Geometric Design
Graphical modeling and animation of brittle fracture
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Curves and surfaces in geometric modeling: theory and algorithms
Curves and surfaces in geometric modeling: theory and algorithms
A survey of free-form object representation and recognition techniques
Computer Vision and Image Understanding
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
OpenGL Game Programming
Robust treatment of collisions, contact and friction for cloth animation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
A Surgery Simulation Supporting Cuts and Finite Element Deformation
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
P3DMA: A Physical 3D Deformable Modelling and Animation System
AMDO '02 Proceedings of the Second International Workshop on Articulated Motion and Deformable Objects
On Linear Variational Surface Deformation Methods
IEEE Transactions on Visualization and Computer Graphics
Towards Efficiency in Cloth Simulation
AMDO '08 Proceedings of the 5th international conference on Articulated Motion and Deformable Objects
3D Modeling for Deformable Objects
AMDO '08 Proceedings of the 5th international conference on Articulated Motion and Deformable Objects
Analytical Simulation of B-Spline Surfaces Deformation
AMDO '08 Proceedings of the 5th international conference on Articulated Motion and Deformable Objects
Interactive Constrained Deformations of NURBS Surfaces: N-SCODEF
AMDO '08 Proceedings of the 5th international conference on Articulated Motion and Deformable Objects
Analytical simulation of non-planar B-spline surfaces deformation
AMDO'10 Proceedings of the 6th international conference on Articulated motion and deformable objects
Generalized SCODEF deformations on subdivision surfaces
AMDO'06 Proceedings of the 4th international conference on Articulated Motion and Deformable Objects
Transferring a labeled generic rig to animate face models
AMDO'06 Proceedings of the 4th international conference on Articulated Motion and Deformable Objects
Efficient energy evaluations for active B-Spline/NURBS surfaces
Computer-Aided Design
| Hi-index | 0.00 |
A non-planar surface deformation model based on B-splines as finite elements is presented here. The model includes the variational formulation, the system of ordinary differential equations derived from it and its analytical solution. The model has been checked for a variety of surfaces such as tiles, half spheres, planes, etc. Furthermore, we are able to solve the system analytically by only moving a reduced number of control points to deform the surface. This makes the method faster, since numerical methods are no longer necessary.