Curve and surface constructions using rational B-splines
Computer-Aided Design
Skinning techniques for interactive B-spline surface interpolation
Computer-Aided Design
Generating blend surfaces using partial differential equations
Computer-Aided Design
Using partial differential equations to generate free-form surfaces: 91787
Computer-Aided Design
Computer-Aided Design
Dynamic NURBS with geometric constraints for interactive sculpting
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
Simple constrained deformations for geometric modeling and interactive design
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
Interactive design of smooth objects with probabilistic point constraints
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
The Mathematical Basis of the UNISURF CAD System
The Mathematical Basis of the UNISURF CAD System
Physically Based Models with Rigid and Deformable Components
IEEE Computer Graphics and Applications
Surface animation for flower growth
Mathematical Methods for Curves and Surfaces
Blending parametric patches with subdivision surfaces
Journal of Computer Science and Technology
Interactive shape design using volumetric implicit PDEs
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
On harmonic and biharmonic Bézier surfaces
Computer Aided Geometric Design
PDE surface generation with combined closed and non-closed form solutions
Journal of Computer Science and Technology - Special issue on computer graphics and computer-aided design
An analytic pseudo-spectral method to generate a regular 4-sided PDE surface patch
Computer Aided Geometric Design
Spine based shape parameterisation for PDE surfaces
Computing - Geometric modelling dagstuhl 2002
Free hand stroke based virtual sketching, deformation and sculpting of NURBS surface
Proceedings of the 2005 international conference on Augmented tele-existence
A shape design system using volumetric implicit PDEs
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Free-Form Geometric Modeling by Integrating Parametric and Implicit PDEs
IEEE Transactions on Visualization and Computer Graphics
A general framework for surface modeling using geometric partial differential equations
Computer Aided Geometric Design
Journal of Computational and Applied Mathematics
PDE-Based Facial Animation: Making the Complex Simple
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing, Part II
Parametric design of aircraft geometry using partial differential equations
Advances in Engineering Software
Mixed finite element methods for geometric modeling using general fourth order geometric flows
Computer Aided Geometric Design
An analytic pseudo-spectral method to generate a regular 4-sided PDE surface patch
Computer Aided Geometric Design
G1 surface modelling using fourth order geometric flows
Computer-Aided Design
Technical Section: Method of trimming PDE surfaces
Computers and Graphics
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfaces
Journal of Computational and Applied Mathematics
Numerical simulation of stable structures of fluid membranes and vesicles
ICCOMP'06 Proceedings of the 10th WSEAS international conference on Computers
Method of surface reconstruction using partial differential equations
ICCOMP'06 Proceedings of the 10th WSEAS international conference on Computers
Free-Hand stroke based NURBS surface for sketching and deforming 3d contents
PCM'05 Proceedings of the 6th Pacific-Rim conference on Advances in Multimedia Information Processing - Volume Part I
Facial geometry parameterisation based on Partial Differential Equations
Mathematical and Computer Modelling: An International Journal
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Interactive design of practical surfaces using the partial differential equation (PDE) method is considered. The PDE method treats surface design as a boundary value problem (ensuring that surfaces can be defined using a small set of design parameters). Owing to the elliptic nature of the PDE operator, the boundary conditions imposed around the edges of the surface control the internal shape of the surface. Moreover, surfaces obtained in this manner tend to be smooth and fair. The PDE chosen has a closed form solution allowing the interactive manipulation of the surfaces in real time. Thus we present efficient techniques by which we show how surfaces of practical significance can be constructed interactively in real time.