Smooth free-form surfaces over irregular meshes generalizing quadratic splines
Selected papers of the international symposium on Free-form curves and free-form surfaces
Box splines
A unified approach to subdivision algorithms near extraordinary vertices
Computer Aided Geometric Design
Analysis of Algorithms Generalizing B-Spline Subdivision
SIAM Journal on Numerical Analysis
Localized-hierarchy surface splines (LeSS)
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
Blending, smoothing and interpolation of irregular meshes using N-sided Varady patches
Proceedings of the fifth ACM symposium on Solid modeling and applications
Progressive compressive and transmission of arbitrary triangular meshes
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Modeling generalized cylinders via Fourier morphing
ACM Transactions on Graphics (TOG)
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Biorthogonal wavelets for subdivision volumes
Proceedings of the seventh ACM symposium on Solid modeling and applications
Anisotropic diffusion of surfaces and functions on surfaces
ACM Transactions on Graphics (TOG)
Dynamic Catmull-Clark Subdivision Surfaces
IEEE Transactions on Visualization and Computer Graphics
Dynamic Modeling of Butterfly Subdivision Surfaces
IEEE Transactions on Visualization and Computer Graphics
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
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A generative classification of mesh refinement rules with lattice transformations
Computer Aided Geometric Design
Subdivision scheme tuning around extraordinary vertices
Computer Aided Geometric Design
Combining 4- and 3-direction subdivision
ACM Transactions on Graphics (TOG)
On the support of recursive subdivision
ACM Transactions on Graphics (TOG)
Number systems, α-splines and refinement
Journal of Computational and Applied Mathematics
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Analysis and tuning of subdivision algorithms
Proceedings of the 21st spring conference on Computer graphics
Evolutions of polygons in the study of subdivision surfaces
Computing - Geometric modelling dagstuhl 2002
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
Modeling with multiresolution subdivision surfaces
ACM SIGGRAPH 2006 Courses
Connected & manifold Sierpinsky polyhedra
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Composite 2 subdivision surfaces
Computer Aided Geometric Design
From extension of Loop's approximation scheme to interpolatory subdivisions
Computer Aided Geometric Design
Animating developable surfaces using nonconforming elements
ACM SIGGRAPH 2008 papers
International Journal of Computer Applications in Technology
Cyclic plain-weaving on polygonal mesh surfaces with graph rotation systems
ACM SIGGRAPH 2009 papers
Integration of CAD and boundary element analysis through subdivision methods
Computers and Industrial Engineering
Deriving Box-Spline Subdivision Schemes
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
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
Subdivision surfaces for CAD-an overview
Computer-Aided Design
Facial expression biometrics using statistical shape models
EURASIP Journal on Advances in Signal Processing - Special issue on recent advances in biometric systems: a signal processing perspective
Polyhedral vertex blending with setbacks using rational S-patches
Computer Aided Geometric Design
SMI 2011: Full Paper: Cyclic twill-woven objects
Computers and Graphics
Journal of Approximation Theory
An heuristic analysis of the classification of bivariate subdivision schemes
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Insight for practical subdivision modeling with discrete gauss-bonnet theorem
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Composite √2 subdivision surfaces
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Computer Aided Geometric Design
A unified framework for primal/dual quadrilateral subdivision schemes
Computer Aided Geometric Design
Computer Aided Geometric Design
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
CAe '12 Proceedings of the Eighth Annual Symposium on Computational Aesthetics in Graphics, Visualization, and Imaging
CAe '12 Proceedings of the Eighth Annual Symposium on Computational Aesthetics in Graphics, Visualization, and Imaging
Computational Aesthetics'10 Proceedings of the Sixth international conference on Computational Aesthetics in Graphics, Visualization and Imaging
ACM: atlas of connectivity maps for semiregular models
Proceedings of Graphics Interface 2013
Special Section on Graphics Interface: Atlas of connectivity maps
Computers and Graphics
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Given a polyhedron, construct a new polyhedron by connecting every edge-midpoint to its four neighboring edge-midpoints. This refinement rule yields a C1 surface and the surface has a piecewise quadratic parametrozation except at a finite number of isolated points. We analyze and improve the construction.