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
Modelings surfaces from meshes of arbitrary topology
Computer Aided Geometric Design
A generic approach to free form surface generation
Proceedings of the seventh ACM symposium on Solid modeling and applications
C2 free-form surfaces of degree (3,5)
Computer Aided Geometric Design
Simple Manifolds for Surface Modeling and Parameterization
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
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Manifold splines with single extraordinary point
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Approximate rational parameterization of implicitly defined surfaces
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
A surface displaced from a manifold
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Piecewise Rational Manifold Surfaces with Sharp Features
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
C∞ smooth freeform surfaces over hyperbolic domains
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
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Given a closed triangular mesh, we construct a smooth free-form surface which is described as a collection of rational tensor-product and triangular surface patches. The surface is obtained by a special manifold surface construction, which proceeds by blending together geometry functions for each vertex. The transition functions between the charts, which are associated with the vertices of the mesh, are obtained via subchart parameterization.