A survey of curve and surface methods in CAGD
Computer Aided Geometric Design
Polyhedral subdivision methods for free-form surfaces
ACM Transactions on Graphics (TOG)
Computing curves invariant under halving
Computer Aided Geometric Design - Special issue: Topics in CAGD
Using parameters to increase smoothness of curves and surfaces generated by subdivision
Computer Aided Geometric Design
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
Spherical wavelets: efficiently representing functions on the sphere
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Hierarchical triangulation for multiresolution surface description
ACM Transactions on Graphics (TOG)
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Multiresolution analysis for surfaces of arbitrary topological type
ACM Transactions on Graphics (TOG)
Interactive multiresolution mesh editing
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Dynamic smooth subdivision surfaces for data visualization
VIS '97 Proceedings of the 8th conference on Visualization '97
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A novel FEM-based dynamic framework for subdivision surfaces
Proceedings of the fifth ACM symposium on Solid modeling and applications
Blending, smoothing and interpolation of irregular meshes using N-sided Varady patches
Proceedings of the fifth ACM symposium on Solid modeling and applications
Interpolating nets of curves by smooth subdivision surfaces
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Navigating through triangle meshes implemented as linear quadtrees
ACM Transactions on Graphics (TOG)
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Progressive geometry compression
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Time critical isosurface refinement and smoothing
VVS '00 Proceedings of the 2000 IEEE symposium on Volume visualization
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Bicubic subdivision-surface wavelets for large-scale isosurface representation and visualization
Proceedings of the conference on Visualization '00
Biorthogonal wavelets for subdivision volumes
Proceedings of the seventh ACM symposium on Solid modeling and applications
A new solid subdivision scheme based on box splines
Proceedings of the seventh ACM symposium on Solid modeling and applications
CHARMS: a simple framework for adaptive simulation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Efficient parallel implementations for surface subdivision
EGPGV '02 Proceedings of the Fourth Eurographics Workshop on Parallel Graphics and Visualization
Anisotropic diffusion of surfaces and functions on surfaces
ACM Transactions on Graphics (TOG)
ACM Transactions on Graphics (TOG)
Refinement operators for triangle meshes
Computer Aided Geometric Design
Dynamic Catmull-Clark Subdivision Surfaces
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Visualization and Computer Graphics
Dynamic Modeling of Butterfly Subdivision Surfaces
IEEE Transactions on Visualization and Computer Graphics
Polynomial Surfaces Interpolating Arbitrary Triangulations
IEEE Transactions on Visualization and Computer Graphics
A cascadic geometric filtering approach to subdivision
Computer Aided Geometric Design
Four-point wavelets and their applications
Journal of Computer Science and Technology
Scattered Data Techniques for Surfaces
Dagstuhl '97, Scientific Visualization
Quincunx fundamental refinable functions and Quincunx biorthogonal wavelets
Mathematics of Computation
Multiresolution Constraints for Designing Subdivision Surfaces via Local Smoothing
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
Subdivision Surface Fitting to a Range of Points
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Mesh mutation in programmable graphics hardware
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Non-linear subdivision using local spherical coordinates
Computer Aided Geometric Design
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Interactive rendering of translucent deformable objects
EGRW '03 Proceedings of the 14th Eurographics workshop on Rendering
A generative classification of mesh refinement rules with lattice transformations
Computer Aided Geometric Design
Interpolatory rank-1 vector subdivision schemes
Computer Aided Geometric Design
On the support of recursive subdivision
ACM Transactions on Graphics (TOG)
IEEE Transactions on Visualization and Computer Graphics
Bender: a virtual ribbon for deforming 3D shapes in biomedical and styling applications
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Generic mesh refinement on GPU
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Analysis and tuning of subdivision algorithms
Proceedings of the 21st spring conference on Computer graphics
Biorthogonal loop-subdivision wavelets
Computing - Geometric modelling dagstuhl 2002
Hierarchical triangular splines
ACM Transactions on Graphics (TOG)
Interpolatory ternary subdivision surfaces
Computer Aided Geometric Design
Comparing local subdivision schemes
ACM-SE 38 Proceedings of the 38th annual on Southeast regional conference
Interpolation over Arbitrary Topology Meshes Using a Two-Phase Subdivision Scheme
IEEE Transactions on Visualization and Computer Graphics
C2 subdivision over triangulations with one extraordinary point
Computer Aided Geometric Design
ACM Transactions on Graphics (TOG)
A statistical model for synthesis of detailed facial geometry
ACM SIGGRAPH 2006 Papers
Matrix-valued subdivision schemes for generating surfaces with extraordinary vertices
Computer Aided Geometric Design
Jet subdivision schemes on the k-regular complex
Computer Aided Geometric Design
Towards fast and smooth subdivision surface reconstruction
International Journal of Computers and Applications
Parametrizations for triangular Gk spline surfaces of low degree
ACM Transactions on Graphics (TOG)
Modeling with multiresolution subdivision surfaces
ACM SIGGRAPH 2006 Courses
Technical Section: Multiresolution for curves and surfaces based on constraining wavelets
Computers and Graphics
Free-Form Geometric Modeling by Integrating Parametric and Implicit PDEs
IEEE Transactions on Visualization and Computer Graphics
Generating subdivision surfaces from profile curves
Computer-Aided Design
Selectively refinable subdivision meshes
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Adaptive triangular element generation and optimization-based smoothing: Part 2. On the surface
Advances in Engineering Software
Interpolatory √3 subdivision with harmonic interpolation
AFRIGRAPH '07 Proceedings of the 5th international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
From extension of Loop's approximation scheme to interpolatory subdivisions
Computer Aided Geometric Design
Incremental subdivision for triangle meshes
International Journal of Computational Science and Engineering
Journal of Computational Physics
Progressive meshes transmission over a wired-to-wireless network
Wireless Networks
International Journal of Computer Applications in Technology
ACM SIGGRAPH Asia 2008 papers
Deducing interpolating subdivision schemes from approximating subdivision schemes
ACM SIGGRAPH Asia 2008 papers
Biorthogonal wavelets based on gradual subdivision of quadrilateral meshes
Computer Aided Geometric Design
Triangulation of molecular surfaces
Computer-Aided Design
Loop subdivision surface based progressive interpolation
Journal of Computer Science and Technology
Technical Section: Ternary butterfly subdivision
Computers and Graphics
Integration of CAD and boundary element analysis through subdivision methods
Computers and Industrial Engineering
Interpolatory quad/triangle subdivision schemes for surface design
Computer Aided Geometric Design
Loop subdivision surfaces interpolating B-spline curves
Computer-Aided Design
C2 subdivision over triangulations with one extraordinary point
Computer Aided Geometric Design
Matrix-valued subdivision schemes for generating surfaces with extraordinary vertices
Computer Aided Geometric Design
Interpolatory ternary subdivision surfaces
Computer Aided Geometric Design
Jet subdivision schemes on the k-regular complex
Computer Aided Geometric Design
Surface interpolation of meshes by geometric subdivision
Computer-Aided Design
Subdivision surfaces for CAD-an overview
Computer-Aided Design
Dynamic surfel set refinement for high-quality rendering
Computers and Graphics
Non-stationary subdivision schemes for surface interpolation based on exponential polynomials
Applied Numerical Mathematics
Fully scalable intraband coding of wavelet-decomposed 3D meshes
DSP'09 Proceedings of the 16th international conference on Digital Signal Processing
Technologies for 3D mesh compression: A survey
Journal of Visual Communication and Image Representation
Bounded curvature subdivision without eigenanalysis
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
Locally adjustable interpolation for meshes of arbitrary topology
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part I
Smooth image surface approximation by piecewise cubic polynomials
CIARP'07 Proceedings of the Congress on pattern recognition 12th Iberoamerican conference on Progress in pattern recognition, image analysis and applications
Bicubic G1 interpolation of irregular quad meshes using a 4-split
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Progressive interpolation using loop subdivision surfaces
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Geometric calibration of projector imagery on curved screen based-on subdivision mesh
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
A novel adaptive algorithm of Catmull-Clark subdivision surfaces
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 5
Tight wavelet frames via semi-definite programming
Journal of Approximation Theory
A survey on CAD methods in 3D garment design
Computers in Industry
Furry stylized texel-rendering in images and videos
ICICS'09 Proceedings of the 7th international conference on Information, communications and signal processing
Context-conditioned composite coding of 3D meshes based on wavelets on surfaces
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Improved quality multiple description 3D mesh coding with optimal filtering
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Proceedings of the 9th ACM SIGGRAPH Conference on Virtual-Reality Continuum and its Applications in Industry
Artifact analysis on triangular box-splines and subdivision surfaces defined by triangular polyhedra
Computer Aided Geometric Design
Technical Section: Multiresolutions numerically from subdivisions
Computers and Graphics
Method of surface reconstruction using partial differential equations
ICCOMP'06 Proceedings of the 10th WSEAS international conference on Computers
Smooth reverse Loop and Catmull-Clark subdivision
Graphical Models
Liquid simulation with mesh-based surface tracking
ACM SIGGRAPH 2011 Courses
Exact evaluation of limits and tangents for interpolatory subdivision surfaces at rational points
Journal of Computational and Applied Mathematics
Fast Methods for Computing the $p$-Radius of Matrices
SIAM Journal on Scientific Computing
An interpolatory subdivision scheme for triangular meshes and progressive transmission
VSMM'06 Proceedings of the 12th international conference on Interactive Technologies and Sociotechnical Systems
An approach for embedding regular analytic shapes with subdivision surfaces
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Meshes simplification based on reverse subdivision
ICAT'06 Proceedings of the 16th international conference on Advances in Artificial Reality and Tele-Existence
An heuristic analysis of the classification of bivariate subdivision schemes
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
The importance of polynomial reproduction in piecewise-uniform subdivision
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Weighted progressive interpolation of Loop subdivision surfaces
Computer-Aided Design
A C1 globally interpolatory spline of arbitrary topology
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
A new class of non-stationary interpolatory subdivision schemes based on exponential polynomials
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Dynamic surface deformation and modeling using rubber sweepers
Edutainment'06 Proceedings of the First international conference on Technologies for E-Learning and Digital Entertainment
SMI 2012: Full Interpolating an arbitrary number of joint B-spline curves by Loop surfaces
Computers and Graphics
SMI 2012: Full Curvature-based offset distance: Implementations and applications
Computers and Graphics
An alternative method for constructing interpolatory subdivision from approximating subdivision
Computer Aided Geometric Design
A unified framework for primal/dual quadrilateral subdivision schemes
Computer Aided Geometric Design
Computer Aided Geometric Design
A new approach to numerical differentiation and integration
Mathematical and Computer Modelling: An International Journal
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
Isoparametric finite element analysis for Doo-Sabin subdivision models
Proceedings of Graphics Interface 2012
An overview of procedures for refining triangulations
ICCSA'12 Proceedings of the 12th international conference on Computational Science and Its Applications - Volume Part I
Mesh connection with RBF local interpolation and wavelet transform
Proceedings of the Third Symposium on Information and Communication Technology
Real-time point cloud refinement
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Advances in Computational Mathematics
A unified interpolatory subdivision scheme for quadrilateral meshes
ACM Transactions on Graphics (TOG)
Advances in Engineering Software
A new interpolation subdivision scheme for triangle/quad mesh
Graphical Models
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A new interpolatory subdivision scheme for surface design is presented. The new scheme is designed for a general triangulation of control points and has a tension parameter that provides design flexibility. The resulting limit surface is C1 for a specified range of the tension parameter, with a few exceptions. Application of the butterfly scheme and the role of the tension parameter are demonstrated by several examples.