Computer Aided Geometric Design
Curvature continuous triangular interpolants
Mathematical methods in computer aided geometric design
Modeling surfaces of arbitrary topology using manifolds
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Curvature continuous spline surfaces over irregular meshes
Computer Aided Geometric Design
Computer Aided Geometric Design
Degenerate Be´zier patches with continuous curvature
Computer Aided Geometric Design
Piecewise smooth subdivision surfaces with normal control
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Modelings surfaces from meshes of arbitrary topology
Computer Aided Geometric Design
Journal of Computational Physics
C2 free-form surfaces of degree (3,5)
Computer Aided Geometric Design
A Method for Analysis of C1-Continuity of Subdivision Surfaces
SIAM Journal on Numerical Analysis
Geometric Modelling, Dagstuhl, Germany, 1996
Simple Manifolds for Surface Modeling and Parameterization (figures 3 and 6)
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
A simple manifold-based construction of surfaces of arbitrary smoothness
ACM SIGGRAPH 2004 Papers
Second order smoothness over extraordinary vertices
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Modified subdivision surfaces with continuous curvature
ACM SIGGRAPH 2006 Papers
Graphical Models - Special issue on SPM 05
Manifold splines with single extraordinary point
Proceedings of the 2007 ACM symposium on Solid and physical modeling
A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
Journal of Computational Physics
Constructing curvature-continuous surfaces by blending
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
User-controllable polycube map for manifold spline construction
Proceedings of the 2008 ACM symposium on Solid and physical modeling
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We present a manifold-based surface construction extending the C^~ construction of Ying and Zorin (2004). Our surfaces allow for piecewise-smooth boundaries and have an improved derivative and visual behavior. Their degree of smoothness can be controlled by the user. Two-flexibility of our surface construction is confirmed numerically for a range of local mesh configurations.