Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
A comparison of adaptive refinement techniques for elliptic problems
ACM Transactions on Mathematical Software (TOMS)
Efficient ray tracing of volume data
ACM Transactions on Graphics (TOG)
Advanced interactive visualization for CFD
Computing Systems in Education
Octrees for faster isosurface generation
VVS '90 Proceedings of the 1990 workshop on Volume visualization
Hierarchical splatting: a progressive refinement algorithm for volume rendering
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
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
Toolglass and magic lenses: the see-through interface
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
A data reduction scheme for triangulated surfaces
Computer Aided Geometric Design
Local refinement of 3D-meshes consisting of prisms and conforming closure
IMPACT of Computing in Science and Engineering
Data point selection for piecewise trilinear approximation
Computer Aided Geometric Design
Multiresolution modeling and visualization of volume data based on simplicial complexes
VVS '94 Proceedings of the 1994 symposium on Volume visualization
Pointwise a posteriori error estimates for elliptic problems on highly graded meshes
Mathematics of Computation
Local bisection refinement for N-simplicial grids generated by reflection
SIAM Journal on Scientific Computing
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
Hierarchical triangulation for multiresolution surface description
ACM Transactions on Graphics (TOG)
Optimal isosurface extraction from irregular volume data
Proceedings of the 1996 symposium on Volume visualization
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
The p and hp versions of the finite element method for problems with boundary layers
Mathematics of Computation
Temporal continuity of levels of detail in Delaunay triangulated terrain
Proceedings of the 7th conference on Visualization '96
BLaC-Wavelets: a multiresolution analysis with non-nested spaces
Proceedings of the 7th conference on Visualization '96
Hierarchical and parallelizable direct volume rendering for irregular and multiple grids
Proceedings of the 7th conference on Visualization '96
Isosurfacing in span space with utmost efficiency (ISSUE)
Proceedings of the 7th conference on Visualization '96
Volume thinning for automatic isosurface propagation
Proceedings of the 7th conference on Visualization '96
Mesh reduction with error control
Proceedings of the 7th conference on Visualization '96
Octree-based decimation of marching cubes surfaces
Proceedings of the 7th conference on Visualization '96
An adaptive wavelet-vaguelette algorithm for the solution of PDEs
Journal of Computational Physics
Building and traversing a surface at variable resolution
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
The multilevel finite element method for adaptive mesh optimization and visualization of volume data
VIS '97 Proceedings of the 8th conference on Visualization '97
Automatic Isosurface Propagation Using an Extrema Graph and Sorted Boundary Cell Lists
IEEE Transactions on Visualization and Computer Graphics
A Near Optimal Isosurface Extraction Algorithm Using the Span Space
IEEE Transactions on Visualization and Computer Graphics
Volume Data and Wavelet Transforms
IEEE Computer Graphics and Applications
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Efficient octree conversion by connectivity labeling
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Fast Multiresolution Surface Meshing
VIS '95 Proceedings of the 6th conference on Visualization '95
Direct Rendering of Laplacian Pyramid Compressed Volume Data
VIS '95 Proceedings of the 6th conference on Visualization '95
Data compression based on the cubic B-spline wavelet with uniform two-scale relation
Mathematical and Computer Modelling: An International Journal
Topology preserving and controlled topology simplifying multiresolution isosurface extraction
Proceedings of the conference on Visualization '00
Representing Vertex-Based Simplicial Multi-complexes
Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
Representing vertex-based simplicial multi-complexes
Digital and image geometry
Selective Refinement Queries for Volume Visualization of Unstructured Tetrahedral Meshes
IEEE Transactions on Visualization and Computer Graphics
Fast multiresolution extraction of multiple transparent isosurfaces
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
International Journal of Computer Vision
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Recently, multiresolution visualization methods have become an indispensable ingredient of real-time interactive postprocessing. The enormous databases, typically coming along with some hierarchical structure, are locally resolved on different levels of detail to achieve a significant savings of CPU and rendering time. Here, the method of adaptive projection and the corresponding operators on data functions, respectively, are introduced. They are defined and discussed as mathematically rigorous foundations for multiresolution data analysis. Keeping in mind data from efficient numerical multigrid methods, this approach applies to hierarchical nested grids consisting of elements which are any tensor product of simplices, generated recursively by an arbitrary, finite set of refinement rules from some coarse grid. The corresponding visualization algorithms, e.g., color shading on slices or isosurface rendering, are confined to an appropriate depth-first traversal of the grid hierarchy. A continuous projection of the data onto an adaptive, extracted subgrid is thereby calculated recursively. The presented concept covers different methods of local error measurement, time-dependent data which have to be interpolated from a sequence of key frames, and a tool for local data focusing. Furthermore, it allows for a continuous level of detail.