Smooth closed surfaces with discrete triangular interpolants
Computer Aided Geometric Design
Bicubic patches for approximating non-rectangular control-point meshes
Computer Aided Geometric Design
Computer-Aided Design - Special issue on the shape of surfaces
Computer Aided Geometric Design
Survey and new results in n-sided patch generation
Proceedings on Mathematics of surfaces II
A multisided generalization of Bézier surfaces
ACM Transactions on Graphics (TOG)
Filling polygonal holes with rectangular patches
Theory and practice of geometric modeling
Primitives for the manipulation of general subdivisions and the computation of Voronoi
ACM Transactions on Graphics (TOG)
Design of solids with free-form surfaces
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
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Surface modeling with oriented particle systems
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Geometric manipulation of tensor product surfaces
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Smooth spline surfaces over irregular meshes
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Filleting and rounding using trimmed tensor product surfaces
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
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ACM Transactions on Mathematical Software (TOMS)
Blending, smoothing and interpolation of irregular meshes using N-sided Varady patches
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General Object Reconstruction Based on Simplex Meshes
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IEEE Transactions on Visualization and Computer Graphics
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VRAIS '96 Proceedings of the 1996 Virtual Reality Annual International Symposium (VRAIS 96)
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Spectral moving removal of non-isolated surface outlier clusters
Computer-Aided Design
Piecewise Rational Manifold Surfaces with Sharp Features
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Skeleton-based surface construction from unorganized curves
CGIM '08 Proceedings of the Tenth IASTED International Conference on Computer Graphics and Imaging
Polyhedral vertex blending with setbacks using rational S-patches
Computer Aided Geometric Design
Bicubic G1 interpolation of irregular quad meshes using a 4-split
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
Automatic cardiac MRI segmentation using a biventricular deformable medial model
MICCAI'10 Proceedings of the 13th international conference on Medical image computing and computer-assisted intervention: Part I
Transfinite surface interpolation over irregular n-sided domains
Computer-Aided Design
C2 Continuous spline surfaces over Catmull-Clark meshes
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
Topology-consistent design for 3D freeform meshes with harmonic interpolation
ICEC'07 Proceedings of the 6th international conference on Entertainment Computing
Spline surfaces of arbitrary topology with continuous curvature and optimized shape
Computer-Aided Design
Interpolating meshes of boundary intersecting curves by subdivision surfaces
The Visual Computer: International Journal of Computer Graphics
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B-spline surfaces, although widely used, are incapable of describing surfaces of arbitrary topology. It is not possible to model a general closed surface or a surface with handles as a single non-degenerate B-spline. In practice such surfaces are often needed. In this paper, we present generalizations of biquadratic and bicubic B-spline surfaces that are capable of capturing surfaces of arbitrary topology (although restrictions are placed on the connectivity of the control mesh). These results are obtained by relaxing the sufficient but not necessary smoothness constraints imposed by B-splines and through the use of an n-sided generalization of Bézier surfaces called S-patches.