Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
Efficient, fair interpolation using Catmull-Clark surfaces
SIGGRAPH '93 Proceedings of the 20th 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
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Towards hardware implementation of loop subdivision
HWWS '00 Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Hardware support for adaptive subdivision surface rendering
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware
Rapid evaluation of Catmull-Clark subdivision surfaces
Proceedings of the seventh international conference on 3D Web technology
Stationary Subdivision
Bezier and B-Spline Techniques
Bezier and B-Spline Techniques
GPU Gems 2: Programming Techniques for High-Performance Graphics and General-Purpose Computation (Gpu Gems)
A realtime GPU subdivision kernel
ACM SIGGRAPH 2005 Papers
GPU-based trimming and tessellation of NURBS and T-Spline surfaces
ACM SIGGRAPH 2005 Papers
Real-time GPU rendering of piecewise algebraic surfaces
ACM SIGGRAPH 2006 Papers
Direct evaluation of NURBS curves and surfaces on the GPU
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Exact Evaluation of Non-Polynomial Subdivision Schemes at Rational Parameter Values
PG '07 Proceedings of the 15th Pacific Conference on Computer Graphics and Applications
On Smooth Bicubic Surfaces from Quad Meshes
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Approximating subdivision surfaces with Gregory patches for hardware tessellation
ACM SIGGRAPH Asia 2009 papers
On the complexity of smooth spline surfaces from quad meshes
Computer Aided Geometric Design
Smooth Bi-3 spline surfaces with fewest knots
Computer-Aided Design
Feature-adaptive GPU rendering of Catmull-Clark subdivision surfaces
ACM Transactions on Graphics (TOG)
SMI 2012: Full Component-aware tensor-product trivariate splines of arbitrary topology
Computers and Graphics
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
Improving the Parameterization of Approximate Subdivision Surfaces
Computer Graphics Forum
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We convert any quad manifold mesh into an at least C1 surface consisting of bi-cubic tensor-product splines with localized perturbations of degree bi-5 near non-4-valent vertices. There is one polynomial piece per quad facet, regardless of the valence of the vertices. Particular care is taken to derive simple formulas so that the surfaces are computed efficiently in parallel and match up precisely when computed independently on the GPU.