Conditions for tangent plane continuity over recursively generated B-spline surfaces
ACM Transactions on Graphics (TOG)
Boundary-corner control in recursive-subdivision surfaces
Computer-Aided Design
Efficient, fair interpolation using Catmull-Clark surfaces
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
SIAM Journal on Numerical Analysis
Modeling surfaces of arbitrary topology using manifolds
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Computer Aided Geometric Design
Analysis of Algorithms Generalizing B-Spline Subdivision
SIAM Journal on Numerical Analysis
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Interpolating nets of curves by smooth subdivision surfaces
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Stationary subdivision and multiresolution surface representations
Stationary subdivision and multiresolution surface representations
Smooth patching of refined triangulations
ACM Transactions on Graphics (TOG)
C2 free-form surfaces of degree (3,5)
Computer Aided Geometric Design
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Generalized B-Spline Subdivision-Surface Wavelets for Geometry Compression
IEEE Transactions on Visualization and Computer Graphics
A simple manifold-based construction of surfaces of arbitrary smoothness
ACM SIGGRAPH 2004 Papers
Combining 4- and 3-direction subdivision
ACM Transactions on Graphics (TOG)
Reconstruction of convergent G1 smooth B-spline surfaces
Computer Aided Geometric Design
A realtime GPU subdivision kernel
ACM SIGGRAPH 2005 Papers
A pattern-based data structure for manipulating meshes with regular regions
GI '05 Proceedings of Graphics Interface 2005
Modeling with multiresolution subdivision surfaces
ACM SIGGRAPH 2006 Courses
Multiresolution geometric details on subdivision surfaces
Proceedings of the 5th international conference on Computer graphics and interactive techniques in Australia and Southeast Asia
Adaptive patch-based mesh fitting for reverse engineering
Computer-Aided Design
Approximating Catmull-Clark subdivision surfaces with bicubic patches
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 2008 papers
GPU conversion of quad meshes to smooth surfaces
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Subdivision surfaces for procedural design of imprint rolls
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Pairs of bi-cubic surface constructions supporting polar connectivity
Computer Aided Geometric Design
On Smooth Bicubic Surfaces from Quad Meshes
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Real-time creased approximate subdivision surfaces
Proceedings of the 2009 symposium on Interactive 3D graphics and games
Approximating subdivision surfaces with Gregory patches for hardware tessellation
ACM SIGGRAPH Asia 2009 papers
A geometric criterion for smooth interpolation of curve networks
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Reconstruction of convergent G1 smooth B-spline surfaces
Computer Aided Geometric Design
On the complexity of smooth spline surfaces from quad meshes
Computer Aided Geometric Design
Fast parallel construction of smooth surfaces from meshes with tri/quad/pent facets
SGP '08 Proceedings of the Symposium on Geometry Processing
Smooth Bi-3 spline surfaces with fewest knots
Computer-Aided Design
A geometric constraint on curve networks suitable for smooth interpolation
Computer-Aided Design
Subdivision depth computation for extra-ordinary catmull-clark subdivision surface patches
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
C2 Continuous spline surfaces over Catmull-Clark meshes
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
Subdivision surfaces integrated in a CAD system
Computer-Aided Design
Technical note: A technical note on the geometric representation of a ship hull form
Computer-Aided Design
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Named after the title, the PCCM transformation is a simple, explicit algorithm that creates large, smoothly joining bicubic Nurbs patches from a refined Catmull-Clark subdivision mesh. The resulting patches are maximally large in the sense that one patch corresponds to one quadrilateral facet of the initial, coarsest quadrilateral mesh before subdivision. The patches join parametrically C2 and agree with the Catmull-Clark limit surface except in the immediate neighborhood of extraordinary mesh nodes; in such a neighborhood they join at least with tangent continuity and interpolate the limit of the extraordinary mesh node. The PCCM transformation integrates naturally with array-based implementations of subdivision surfaces.