A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
LAPACK's user's guide
Ten lectures on wavelets
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
An introduction to wavelets
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Spherical wavelets: efficiently representing functions on the sphere
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
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)
Nonstationary subdivision schemes and multiresolution analysis
SIAM Journal on Mathematical Analysis
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Wavelets for computer graphics: theory and applications
Wavelets for computer graphics: theory and applications
The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
Reversing subdivision rules: local linear conditions and observations on inner products
Journal of Computational and Applied Mathematics - Special issue/Dedicated to Prof. Larry L. Schumaker on the occasion of his 60th birthday
Matlab guide
Bicubic subdivision-surface wavelets for large-scale isosurface representation and visualization
Proceedings of the conference on Visualization '00
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Biorthogonal wavelets for subdivision volumes
Proceedings of the seventh ACM symposium on Solid modeling and applications
Subdivision Methods for Geometric Design: A Constructive Approach
Subdivision Methods for Geometric Design: A Constructive Approach
Unlifted Loop Subdivision Wavelets
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Biorthogonal loop-subdivision wavelets
Computing - Geometric modelling dagstuhl 2002
Efficient wavelet construction with Catmull–Clark subdivision
The Visual Computer: International Journal of Computer Graphics
Technical Section: Multiresolution for curves and surfaces based on constraining wavelets
Computers and Graphics
Multiresolution analyses originated from nonstationary subdivision schemes
Journal of Computational and Applied Mathematics
Subdivision surfaces for CAD-an overview
Computer-Aided Design
On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree
Computer Aided Geometric Design
A 4-point interpolatory subdivision scheme for curve design
Computer Aided Geometric Design
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In previous work we introduced a construction to produce multiresolutions from given subdivisions. A portion of that construction required solving bilinear equations using a symbolic algebra system. Here we replace the bilinear equations with a pair of linear equation systems, resulting in a completely numerical construction. Diagrammatic tools provide assistance in carrying this out. The construction is shown for an example of univariate subdivision. The results for a bivariate subdivision are given to illustrate the construction's ability to handle multivariate meshes, as well as special points, without requiring any modification of approach. The construction usually results in analysis and reconstruction filters that are finite, since it seeks each filter locally for the neighborhood of the mesh to which it applies. The use of a set of filters constructed in this way is compared with filters based on spline wavelets for image compression to show that the construction can yield satisfactory results.