Computer Aided Geometric Design - Special issue: Topics in CAGD
Principles of traditional animation applied to 3D computer animation
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Introduction to numerical linear algebra and optimisation
Introduction to numerical linear algebra and optimisation
Deformable curve and surface finite-elements for free-form shape design
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Geometric manipulation of tensor product surfaces
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
Linear constraints for deformable non-uniform B-spline surfaces
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
Integrating constraints and direct manipulation
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
Variational design of rational Be´zier curves and surfaces
Proceedings of the international conference on Curves and surfaces in geometric design
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Hierarchical and variational geometric modeling with wavelets
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
Convexity-preserving interpolatory parametric splines of non-uniform polynomial degree
Computer Aided Geometric Design
Volume-preserving free-form solid
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Computing moments of objects enclosed by piecewise polynomial surfaces
ACM Transactions on Graphics (TOG)
Wavelets for computer graphics: theory and applications
Wavelets for computer graphics: theory and applications
Fast volume-preserving free form deformation using multi-level optimization
Proceedings of the fifth ACM symposium on Solid modeling and applications
Triangular G1 interpolation by 4-splitting domain triangles
Computer Aided Geometric Design
Multiresolution curve editing with linear constraints
Proceedings of the sixth ACM symposium on Solid modeling and applications
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Polynomial Surfaces Interpolating Arbitrary Triangulations
IEEE Transactions on Visualization and Computer Graphics
Constraint-Based Curve Manipulation
IEEE Computer Graphics and Applications
Wavelets for Computer Graphics: A Primer, Part 1
IEEE Computer Graphics and Applications
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
Area preserving deformation of multiresolution curves
Computer Aided Geometric Design
Vector field based shape deformations
ACM SIGGRAPH 2006 Papers
Volume and shape preservation via moving frame manipulation
ACM Transactions on Graphics (TOG)
Vesicles and Amoebae: On Globally Constrained Shape Deformation
Journal of Mathematical Imaging and Vision
Corner cutting and augmentation: An area-preserving method for smoothing polygons and polylines
Computer Aided Geometric Design
Direct manipulation of free-form deformation using curve-pairs
Computer-Aided Design
Original article: Uniform tension algebraic trigonometric spline wavelets of class C2 and order four
Mathematics and Computers in Simulation
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Geometric constraints have proved to be helpful for shape modeling. Moreover, they are efficient aids in controlling deformations and enhancing animation realism. The present paper addresses the deformation of B-spline surfaces while constraining the volume enclosed by the surface. Both uniform and non-uniform frameworks are considered. The use of level-of-detail (LoD) editing allows the preservation of fine details during coarse deformations of the shape. The key contribution of this paper is the computation of the volume with respect to the appropriate basis for LoD editing: the volume is expressed through all levels of resolution as a trilinear form and recursive formulas are developed to make the computation efficient. The volume constrained is maintained through a minimization process for which we develop closed solutions. Real-time deformations are reached thanks to sparse data structures and efficient algorithms.