Smooth spline surfaces over irregular meshes
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Modeling surfaces of arbitrary topology using manifolds
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Fitting smooth surfaces to dense polygon meshes
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Automatic reconstruction of B-spline surfaces of arbitrary topological type
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Localized-hierarchy surface splines (LeSS)
I3D '99 Proceedings of the 1999 symposium on Interactive 3D graphics
Modelings surfaces from meshes of arbitrary topology
Computer Aided Geometric Design
Hierarchical B-spline refinement
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
A generic approach to free form surface generation
Proceedings of the seventh ACM symposium on Solid modeling and applications
Polynomial Surfaces Interpolating Arbitrary Triangulations
IEEE Transactions on Visualization and Computer Graphics
Fundamentals of spherical parameterization for 3D meshes
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2003 Papers
Global conformal surface parameterization
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A simple manifold-based construction of surfaces of arbitrary smoothness
ACM SIGGRAPH 2004 Papers
T-spline simplification and local refinement
ACM SIGGRAPH 2004 Papers
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Smooth Adaptive Fitting of 3D Models Using Hierarchical Triangular Splines
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
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
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Geometric accuracy analysis for discrete surface approximation
Computer Aided Geometric Design
User-controllable polycube map for manifold spline construction
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Manifold splines with a single extraordinary point
Computer-Aided Design
Computer-Aided Design
Harmonic 1-form based skeleton extraction from examples
Graphical Models
Technical Section: Geometry-aware domain decomposition for T-spline-based manifold modeling
Computers and Graphics
ACM SIGGRAPH 2010 papers
Curvature-guided adaptive T-spline surface fitting
Computer-Aided Design
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This paper develops the manifold T-splines, which naturally extend the concept and the currently available algorithms/techniques of the popular planar tensor-product NURBS and T-splines to arbitrary manifold domain of any topological type. The key idea is the global conformal parameterization that intuitively induces a tensor-product structure with a finite number of zero points, and hence offering a natural mechanism for generalizing the tensor-product splines throughout the entire manifold. In our shape modeling framework, the manifold T-splines are globally well-defined except at a finite number of extraordinary points, without the need of any tedious trimming and patching work. We present an efficient algorithm to convert triangular meshes to manifold T-splines. Because of the natural, built-in hierarchy of T-splines, we can easily reconstruct a manifold T-spline surface of high-quality with LOD control and hierarchical structure.