A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
Ten lectures on wavelets
Wavelets and multiscale interpolation
Mathematical methods in computer aided geometric design II
Wavelets and image compression
Mathematical methods in computer aided geometric design II
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Using the refinement equation for evaluating integrals of wavelets
SIAM Journal on Numerical Analysis
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Efficient, fair interpolation using Catmull-Clark surfaces
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Hierarchical spacetime control
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Multiresolution painting and compositing
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
SIGGRAPH '94 Proceedings of the 21st 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
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
Surface reconstruction from unorganized points
Surface reconstruction from unorganized points
Multiresolution analysis for surfaces of arbitrary topological type
Multiresolution analysis for surfaces of arbitrary topological type
Reconstruction of surfaces from planar contours
Reconstruction of surfaces from planar contours
Interactive multiresolution surface viewing
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Hierarchical B-spline refinement
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
View-dependent refinement of progressive meshes
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Interactive multiresolution mesh editing
Proceedings of the 24th 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
Compression of time-dependent geometry
I3D '99 Proceedings of the 1999 symposium on Interactive 3D graphics
Fine level feature editing for subdivision surfaces
Proceedings of the fifth ACM symposium on Solid modeling and applications
A hierarchical approach to interactive motion editing for human-like figures
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Multiresolution rendering with displacement mapping
HWWS '99 Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware
Optimal triangular Haar bases for spherical data
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Nested user interface components
Proceedings of the 12th annual ACM symposium on User interface software and technology
Displaced subdivision surfaces
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Progressive geometry compression
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Surface light fields for 3D photography
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Time critical isosurface refinement and smoothing
VVS '00 Proceedings of the 2000 IEEE symposium on Volume visualization
Bicubic subdivision-surface wavelets for large-scale isosurface representation and visualization
Proceedings of the conference on Visualization '00
Efficient and small representation of line arrangements with applications
SCG '01 Proceedings of the seventeenth annual symposium on Computational geometry
Hybrid meshes: multiresolution using regular and irregular refinement
Proceedings of the eighteenth annual symposium on Computational geometry
A multiresolution framework for dynamic deformations
Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation
Hierarchical extraction of iso-surfaces with semi-regular meshes
Proceedings of the seventh ACM symposium on Solid modeling and applications
Biorthogonal wavelets for subdivision volumes
Proceedings of the seventh ACM symposium on Solid modeling and applications
CHARMS: a simple framework for adaptive simulation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Cut-and-paste editing of multiresolution surfaces
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
ACM Transactions on Graphics (TOG)
Wavelet representation of contour sets
Proceedings of the conference on Visualization '01
View-dependent refinement of multiresolution meshes with subdivision connectivity
Proceedings of the 2nd international conference on Computer graphics, virtual Reality, visualisation and interaction in Africa
Consistent parametrization by quinary subdivision for remeshing and mesh metamorphosis
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
A subdivision algorithm for generating rational curves
Journal of Graphics Tools
Multiresolution Analysis on Irregular Surface Meshes
IEEE Transactions on Visualization and Computer Graphics
Dynamic Modeling of Butterfly Subdivision Surfaces
IEEE Transactions on Visualization and Computer Graphics
Approximating Digital 3D Shapes by Rational Gaussian Surfaces
IEEE Transactions on Visualization and Computer Graphics
Four-point wavelets and their applications
Journal of Computer Science and Technology
Sharp features on multiresolution subdivision surfaces
Graphical Models - Pacific graphics 2001
Multiresolution Constraints for Designing Subdivision Surfaces via Local Smoothing
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Opportunities for Subdivision-Based Multiresolution Modeling
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Construction of wavelets and prewavelets over triangulations
Journal of Computational and Applied Mathematics - Special issue: Approximation theory, wavelets, and numerical analysis
Remeshing into normal meshes with boundaries using subdivision
Computers in Industry
Domain decomposition for multiresolution analysis
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Uniform Powell--Sabin spline wavelets
Journal of Computational and Applied Mathematics
Multilevel Representation and Transmission of Real Objects with Progressive Octree Particles
IEEE Transactions on Visualization and Computer Graphics
Mesh Simplification with Hierarchical Shape Analysis and Iterative Edge Contraction
IEEE Transactions on Visualization and Computer Graphics
Generalized B-Spline Subdivision-Surface Wavelets for Geometry Compression
IEEE Transactions on Visualization and Computer Graphics
Transforming 3D mesh surfaces into images by parameterization
Integrated image and graphics technologies
Wavelet-based blind watermarking of 3D models
Proceedings of the 2004 workshop on Multimedia and security
ACM Transactions on Graphics (TOG)
Geometry-Aware Bases for Shape Approximation
IEEE Transactions on Visualization and Computer Graphics
Parameterization of triangle meshes over quadrilateral domains
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Counting Cases in Marching Cubes: Toward a Generic Algorithm for Producing Substitopes
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Biorthogonal loop-subdivision wavelets
Computing - Geometric modelling dagstuhl 2002
Length preserving multiresolution editing of curves
Computing - Geometric modelling dagstuhl 2002
Hierarchical triangular splines
ACM Transactions on Graphics (TOG)
A 2D/3D hybrid geographical information system
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Single-knot wavelets for non-uniform B-splines
Computer Aided Geometric Design
Mean Square Error Approximation for Wavelet-Based Semiregular Mesh Compression
IEEE Transactions on Visualization and Computer Graphics
Inverse kinematics for reduced deformable models
ACM SIGGRAPH 2006 Papers
Modeling with multiresolution subdivision surfaces
ACM SIGGRAPH 2006 Courses
Introduction to haptic rendering
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Mesh connectivity compression using convection reconstruction
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Technical Section: Subdivision surface watermarking
Computers and Graphics
Stochastic simplification of aggregate detail
ACM SIGGRAPH 2007 papers
SOHO: Orthogonal and symmetric Haar wavelets on the sphere
ACM Transactions on Graphics (TOG)
Multiresolution point-set surfaces
GI '08 Proceedings of graphics interface 2008
Geometric compression of a quadrilateral mesh
Computers & Mathematics with Applications
Tight wavelet frames for subdivision
Journal of Computational and Applied Mathematics
3D Modeling for Deformable Objects
AMDO '08 Proceedings of the 5th international conference on Articulated Motion and Deformable Objects
Biorthogonal wavelets based on gradual subdivision of quadrilateral meshes
Computer Aided Geometric Design
An Iterative Method for Fast Mesh Denoising
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing, Part II
Constructing tight frames of multivariate functions
Journal of Approximation Theory
Spectral moving removal of non-isolated surface outlier clusters
Computer-Aided Design
Edge-avoiding wavelets and their applications
ACM SIGGRAPH 2009 papers
Single-knot wavelets for non-uniform B-splines
Computer Aided Geometric Design
From spline to Class-A curves through multi-scale analysis filtering
Computers and Graphics
3D Model compression using Connectivity-Guided Adaptive Wavelet Transform built into 2D SPIHT
Journal of Visual Communication and Image Representation
Fully scalable intraband coding of wavelet-decomposed 3D meshes
DSP'09 Proceedings of the 16th international conference on Digital Signal Processing
Random accessible hierarchical mesh compression for interactive visualization
SGP '09 Proceedings of the Symposium on Geometry Processing
Triangular wavelets: an isotropic image representation with hexagonal symmetry
Journal on Image and Video Processing
From 3D mesh data hiding to 3D shape blind and robust watermarking: a survey
Transactions on data hiding and multimedia security II
Technical Section: Fiedler trees for multiscale surface analysis
Computers and Graphics
Multiresolution analysis adapted to irregularly spaced data
EURASIP Journal on Advances in Signal Processing
Context-conditioned composite coding of 3D meshes based on wavelets on surfaces
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Bi-frames with 4-fold axial symmetry for quadrilateral surface multiresolution processing
Journal of Computational and Applied Mathematics
Wavelet bi-frames with uniform symmetry for curve multiresolution processing
Journal of Computational and Applied Mathematics
Progressive 3D model compression based on surfacelet
Edutainment'10 Proceedings of the Entertainment for education, and 5th international conference on E-learning and games
Progressive multilevel meshes from octree particles
3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
Dynamic gaze-controlled levels of detail of polygonal objects in 3-D environment modeling
3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
Roughness-adaptive 3-D watermarking based on masking effect of surface roughness
IEEE Transactions on Information Forensics and Security
Advances in Computational Mathematics
Technical Section: Multiresolutions numerically from subdivisions
Computers and Graphics
Smooth reverse Loop and Catmull-Clark subdivision
Graphical Models
1-ring interpolatory wavelet using function vectors for mobile computing
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
Watermarking of 3d irregular meshes based on wavelet multiresolution analysis
IWDW'05 Proceedings of the 4th international conference on Digital Watermarking
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
A multiresolutional approach for facial motion retargetting using subdivision wavelets
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part II
PCM'05 Proceedings of the 6th Pacific-Rim conference on Advances in Multimedia Information Processing - Volume Part I
A discrete approach to multiresolution curves and surfaces
Transactions on Computational Science VI
Continuous and discrete Mexican hat wavelet transforms on manifolds
Graphical Models
State Trajectory Compression for Optimal Control with Parabolic PDEs
SIAM Journal on Scientific Computing
Mesh connection with RBF local interpolation and wavelet transform
Proceedings of the Third Symposium on Information and Communication Technology
Subdivision surfaces for scattered-data approximation
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
Progressive view-dependent isosurface propagation
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
A new progressive mesh with adaptive subdivision for LOD models
ICEC'07 Proceedings of the 6th international conference on Entertainment Computing
Deforming surface simplification based on feature preservation
ICEC'07 Proceedings of the 6th international conference on Entertainment Computing
Computer Methods and Programs in Biomedicine
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Multiresolution analysis and wavelets provide useful and efficient tools for representing functions at multiple levels of detail. Wavelet representations have been used in a broad range of applications, including image compression, physical simulation, and numerical analysis. In this article, we present a new class of wavelets, based on subdivision surfaces, that radically extends the class of representable functions. Whereas previous two-dimensional methods were restricted to functions difined on R2, the subdivision wavelets developed here may be applied to functions defined on compact surfaces of arbitrary topological type. We envision many applications of this work, including continuous level-of-detail control for graphics rendering, compression of geometric models, and acceleration of global illumination algorithms. Level-of-detail control for spherical domains is illustrated using two examples: shape approximation of a polyhedral model, and color approximation of global terrain data.