Wavelets and pre-wavelets in low dimensions
Journal of Approximation Theory
Local bisection refinement for N-simplicial grids generated by reflection
SIAM Journal on Scientific Computing
Dynamic view-dependent simplification for polygonal models
Proceedings of the 7th conference on Visualization '96
Octree-based decimation of marching cubes surfaces
Proceedings of the 7th conference on Visualization '96
View-dependent refinement of progressive meshes
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
View-dependent simplification of arbitrary polygonal environments
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
ROAMing terrain: real-time optimally adapting meshes
VIS '97 Proceedings of the 8th conference on Visualization '97
Multiresolution tetrahedral framework for visualizing regular volume data
VIS '97 Proceedings of the 8th conference on Visualization '97
Smooth view-dependent level-of-detail control and its application to terrain rendering
Proceedings of the conference on Visualization '98
View dependent isosurface extraction
Proceedings of the conference on Visualization '98
Out-of-core simplification of large polygonal models
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Semi-regular mesh extraction from volumes
Proceedings of the conference on Visualization '00
Parallel and out-of-core view-dependent isocontour visualization using random data distribution
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Bezier and B-Spline Techniques
Bezier and B-Spline Techniques
A memory insensitive technique for large model simplification
Proceedings of the conference on Visualization '01
Fast extraction of adaptive multiresolution meshes with guaranteed properties from volumetric data
Proceedings of the conference on Visualization '01
Optimized view-dependent rendering for large polygonal datasets
Proceedings of the conference on Visualization '02
Fast view-dependent level-of-detail rendering using cached geometry
Proceedings of the conference on Visualization '02
Interactive view-dependent rendering of large isosurfaces
Proceedings of the conference on Visualization '02
PG '02 Proceedings of the 10th Pacific Conference on Computer Graphics and Applications
Fan clouds: an alternative to meshes
Proceedings of the 11th international conference on Theoretical foundations of computer vision
Computer Aided Geometric Design
Wavelet families of increasing order in arbitrary dimensions
IEEE Transactions on Image Processing
Progressive view-dependent isosurface propagation
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
Wavelet-based multiresolution isosurface rendering
VG'10 Proceedings of the 8th IEEE/EG international conference on Volume Graphics
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For view-dependent visualization, adaptively refined volumetric meshes are used to adapt resolution to given error constraints. A mesh hierarchy based on the 3√2-subdivision scheme produces structured grids with the highest adaptivity. Downsampling filters reduce aliasing effects and lead to higher quality data representation (in terms of lower approximation error) at coarser levels of resolution. We present a method for applying wavelet based downsampling filters to adaptively refined meshes. We use a linear B-spline wavelet lifting scheme to derive narrow filter masks. Using these narrow masks, the wavelet filters are applicable to adaptively refined meshes without imposing any restrictions on the adaptivity of the meshes, such that all wavelet filtering operations can be performed without further subdivision steps. We define rules for vertex dependencies in wavelet-based adaptive refinement and resolve them in an unambiguous manner. We use the wavelet filters for view-dependent visualization in order to demonstrate the functionality and the benefits of our approach. When using wavelet filters, the approximation quality is higher at each resolution level. Thus, less polyhedra need to be traversed by a visualization method to meet certain error bounds/quality measures.