Computer Aided Geometric Design
Curvature continuous triangular interpolants
Mathematical methods in computer aided geometric design
A unified approach to subdivision algorithms near extraordinary vertices
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
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
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
C2 free-form surfaces of degree (3,5)
Computer Aided Geometric Design
Geometric Modelling, Dagstuhl, Germany, 1996
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
A subdivision scheme for surfaces of revolution
Computer Aided Geometric Design
ACM SIGGRAPH 2009 papers
G2 tensor product splines over extraordinary vertices
SGP '08 Proceedings of the Symposium on Geometry Processing
Manifold-based surfaces with boundaries
Computer Aided Geometric Design
C2 splines covering polar configurations
Computer-Aided Design
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
Subdivision surfaces integrated in a CAD system
Computer-Aided Design
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In this paper we describe an approach to the construction of curvature-continuous surfaces with arbitrary control meshes using subdivision. Using a simple modification of the widely used Loop subdivision algorithm we obtain perturbed surfaces which retain the overall shape and appearance of Loop subdivision surfaces but no longer have flat spots or curvature singularities at extraordinary vertices. Our method is computationally efficient and can be easily added to any existing subdivision code.