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)
Spherical wavelets: efficiently representing functions on the sphere
SIGGRAPH '95 Proceedings of the 22nd 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)
The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
Multiresolution signal processing for meshes
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Progressive geometry compression
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
SIAM Journal on Optimization
Geometry compression of normal meshes using rate-distortion algorithms
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Wavelet-Based Progressive Compression Scheme for Triangle Meshes: Wavemesh
IEEE Transactions on Visualization and Computer Graphics
Unlifted Loop Subdivision Wavelets
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
ACM Transactions on Graphics (TOG)
Biorthogonal loop-subdivision wavelets
Computing - Geometric modelling dagstuhl 2002
Mean Square Error Approximation for Wavelet-Based Semiregular Mesh Compression
IEEE Transactions on Visualization and Computer Graphics
Manifold-based approach to semi-regular remeshing
Graphical Models
Tight wavelet frames for subdivision
Journal of Computational and Applied Mathematics
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
An efficient bit allocation for compressing normal meshes with an error-driven quantization
Computer Aided Geometric Design - Special issue: Geometry processing
Technologies for 3D mesh compression: A survey
Journal of Visual Communication and Image Representation
Adaptive lifting schemes with perfect reconstruction
IEEE Transactions on Signal Processing
Scalable Intraband and Composite Wavelet-Based Coding of Semiregular Meshes
IEEE Transactions on Multimedia
Fast Solution of -Norm Minimization Problems When the Solution May Be Sparse
IEEE Transactions on Information Theory
Wavelet families of increasing order in arbitrary dimensions
IEEE Transactions on Image Processing
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This paper describes how to optimize two popular wavelet transforms for semi-regular meshes, using a lifting scheme. The objective is to adapt multiresolution analysis to the input mesh to improve its subsequent coding. Considering either the Butterfly- or the Loop-based lifting schemes, our algorithm finds at each resolution level an optimal prediction operator P such that it minimizes the L"1-norm of the wavelet coefficients. The update operator U is then recomputed in order to take into account the modifications to P. Experimental results show that our algorithm improves on state-of-the-art wavelet coders.