A multisided generalization of Bézier surfaces
ACM Transactions on Graphics (TOG)
Computer Aided Geometric Design
Curvature continuity between adjacent rational Be´zier patches
Computer Aided Geometric Design
A G1 triangular spline surface of arbitrary topological type
Computer Aided Geometric Design
Filling polygonal holes with bicubic patches
Computer Aided Geometric Design
GCn continuity conditions for adjacent rational parametric surfaces
Computer Aided Geometric Design
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
Computer Aided Geometric Design
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Non-uniform recursive subdivision surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Modelling surfaces from planar irregular meshes
Computer Aided Geometric Design
Modelings surfaces from meshes of arbitrary topology
Computer Aided Geometric Design
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Graphical Models - Special issue on SPM 05
N-sided patches with B-spline boundaries
Computers and Graphics
Computer-Aided Design
Computer Aided Geometric Design
Piecewise Rational Manifold Surfaces with Sharp Features
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
A C1 globally interpolatory spline of arbitrary topology
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
A surface displaced from a manifold
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
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A theoretical approach to construct free form surfaces is presented. We develop the concepts that arise when a free form surface is generated by tracing a mesh, using dieren-tiable manifold theory, and generalizing the B-spline scheme. This approach allows to dene a family of practical schemes. Three dierent practical applications of the generic approach are also presented in this paper.