Regularization of inverse visual problems involving discontinuities
IEEE Transactions on Pattern Analysis and Machine Intelligence
Finite element handbook
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Conditions for tangent plane continuity over recursively generated B-spline surfaces
ACM Transactions on Graphics (TOG)
Good vibrations: modal dynamics for graphics and animation
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
Representing PDE surfaces in terms of B-splines
Computer-Aided Design
An investigation of curvature variations over recursively generated B-spline surfaces
ACM Transactions on Graphics (TOG)
Using partial differential equations to generate free-form surfaces: 91787
Computer-Aided Design
Dynamic 3D Models with Local and Global Deformations: Deformable Superquadrics
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recovery of Nonrigid Motion and Structure
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Dynamic deformation of solid primitives with constraints
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Linear constraints for deformable non-uniform B-spline surfaces
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
Efficient, fair interpolation using Catmull-Clark surfaces
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Dynamic NURBS with geometric constraints for interactive sculpting
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
Multiresolution stochastic hybrid shape models with fractal priors
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
Hierarchical shape representation using locally adaptive finite elements
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
A unified approach to subdivision algorithms near extraordinary vertices
Computer Aided Geometric Design
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
A variational approach to subdivision
Computer Aided Geometric Design
The simplest subdivision scheme for smoothing polyhedra
ACM Transactions on Graphics (TOG)
Analysis of Algorithms Generalizing B-Spline Subdivision
SIAM Journal on Numerical Analysis
Edge and vertex insertion for a class of C1 subdivision surfaces
Computer Aided Geometric Design
D-NURBS: A Physics-Based Framework for Geometric Design
IEEE Transactions on Visualization and Computer Graphics
Shape and Nonrigid Motion Estimation Through Physics-Based Synthesis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Smoothness of Stationary Subdivision on Irregular Meshes
Smoothness of Stationary Subdivision on Irregular Meshes
Analysis and application of subdivision surfaces
Analysis and application of subdivision surfaces
Haptic sculpting of dynamic surfaces
I3D '99 Proceedings of the 1999 symposium on Interactive 3D graphics
A novel FEM-based dynamic framework for subdivision surfaces
Proceedings of the fifth ACM symposium on Solid modeling and applications
Virtual clay: a real-time sculpting system with haptic toolkits
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Semi-regular mesh extraction from volumes
Proceedings of the conference on Visualization '00
Proceedings of the sixth ACM symposium on Solid modeling and applications
Conceptual free-form styling on the responsive workbench
VRST '00 Proceedings of the ACM symposium on Virtual reality software and technology
FreeDrawer: a free-form sketching system on the responsive workbench
VRST '01 Proceedings of the ACM symposium on Virtual reality software and technology
A multiresolution framework for dynamic deformations
Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation
Subdivision-based multilevel methods for large scale engineering simulation of thin shells
Proceedings of the seventh ACM symposium on Solid modeling and applications
Dynamic Modeling of Butterfly Subdivision Surfaces
IEEE Transactions on Visualization and Computer Graphics
Blending parametric patches with subdivision surfaces
Journal of Computer Science and Technology
Virtual Clay: Haptics-Based Deformable Solids of Arbitrary Topology
AMDO '02 Proceedings of the Second International Workshop on Articulated Motion and Deformable Objects
Physics-based loop surface modeling
Journal of Computer Science and Technology
Eigenanalysis and Continuity of Non-Uniform Doo-Sabin Surfaces
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Opportunities for Subdivision-Based Multiresolution Modeling
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Interactive spline-driven deformation for free-form surface styling
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Modeling with multiresolution subdivision surfaces
ACM SIGGRAPH 2006 Courses
International Journal of Computer Applications in Technology
Integration of CAD and boundary element analysis through subdivision methods
Computers and Industrial Engineering
Loop subdivision surfaces interpolating B-spline curves
Computer-Aided Design
Surface Reconstruction Method Based on a Growing Self-Organizing Map
ICANN '09 Proceedings of the 19th International Conference on Artificial Neural Networks: Part I
Coarse-to-fine surface reconstruction from silhouettes and range data using mesh deformation
Computer Vision and Image Understanding
Growing self-reconstruction maps
IEEE Transactions on Neural Networks
Continuous deformations by isometry preserving shape integration
Proceedings of the 7th international conference on Curves and Surfaces
SMI 2012: Full Interpolating an arbitrary number of joint B-spline curves by Loop surfaces
Computers and Graphics
Extracting boundary surface of arbitrary topology from volumetric datasets
VG'01 Proceedings of the 2001 Eurographics conference on Volume Graphics
Efficient energy evaluations for active B-Spline/NURBS surfaces
Computer-Aided Design
Dynamic sculpting and animation of free-form subdivision solids
The Visual Computer: International Journal of Computer Graphics
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Recursive subdivision schemes have been extensively used in computer graphics, computer-aided geometric design, and scientific visualization for modeling smooth surfaces of arbitrary topology. Recursive subdivision generates a visually pleasing smooth surface in the limit from an initial user-specified polygonal mesh through the repeated application of a fixed set of subdivision rules. In this paper, we present a new dynamic surface model based on the Catmull-Clark subdivision scheme, a popular technique for modeling complicated objects of arbitrary genus. Our new dynamic surface model inherits the attractive properties of the Catmull-Clark subdivision scheme, as well as those of the physics-based models. This new model provides a direct and intuitive means of manipulating geometric shapes, and an efficient hierarchical approach for recovering complex shapes from large range and volume data sets using very few degrees of freedom (control vertices). We provide an analytic formulation and introduce the "physical" quantities required to develop the dynamic subdivision surface model which can be interactively deformed by applying synthesized forces. The governing dynamic differential equation is derived using Lagrangian mechanics and the finite element method. Our experiments demonstrate that this new dynamic model has a promising future in computer graphics, geometric shape design, and scientific visualization.