A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
Efficient, fair interpolation using Catmull-Clark surfaces
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
A unified approach to subdivision algorithms near extraordinary vertices
Computer Aided Geometric Design
Spherical wavelets: efficiently representing functions on the sphere
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Interactive multiresolution surface viewing
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Multiresolution analysis for surfaces of arbitrary topological type
ACM Transactions on Graphics (TOG)
A variational approach to subdivision
Computer Aided Geometric Design
Interactive multiresolution mesh editing
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
The simplest subdivision scheme for smoothing polyhedra
ACM Transactions on Graphics (TOG)
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Non-uniform recursive subdivision surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A multiresolution framework for variational subdivision
ACM Transactions on Graphics (TOG)
Fine level feature editing for subdivision surfaces
Proceedings of the fifth ACM symposium on Solid modeling and applications
Interpolating nets of curves by smooth subdivision surfaces
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Subdivision schemes for fluid flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Multiresolution signal processing for meshes
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Combined subdivision schemes for the design of surfaces satisfying boundary conditions
Computer Aided Geometric Design
Piecewise smooth subdivision surfaces with normal control
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Stationary Subdivision
Dynamic Catmull-Clark Subdivision Surfaces
IEEE Transactions on Visualization and Computer Graphics
Analysis and application of subdivision surfaces
Analysis and application of subdivision surfaces
Stationary subdivision and multiresolution surface representations
Stationary subdivision and multiresolution surface representations
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Applications in computer graphics, geometric modeling, and simulation based engineering design demand highly flexible and efficient algorithms for the manipulation of large scale, complex geometry. Examples include the acquisition, processing, and transmission of finely tessellated models of real world geometry. These geometries are typically represented as very large meshes ranging into hundreds of thousands if not millions of triangles per object. Since the use of such geometries occurs typically in interactive applications, highly scalable algorithms, which are capable of allocating resources in very flexible ways, are required. Examples include the generation of level-of-detail (LOD) representations with well controlled error or compression of geometry for progressive transmission purposes.These needs have fueled an active and vibrant research area concerned with the construction and efficient manipulation of multi-resolution representations, i.e., data structures and algorithms exhibiting low time and space complexity, capable of providing fluid speed/accuracy tradeoffs. There are two distinct approaches in this area, those based on classical subdivision [35, 40] and those based on more recent mesh simplification techniques [16].