Authenticity analysis of wavelet approximations in visualization

@article{Wong1995AuthenticityAO,
  title={Authenticity analysis of wavelet approximations in visualization},
  author={P. C. Wong and R. Bergeron},
  journal={Proceedings Visualization '95},
  year={1995},
  pages={184-191}
}
Wavelet transforms include data decompositions and reconstructions. This paper is concerned with the authenticity issues of the data decomposition, particularly for data visualization. A total of six datasets are used to clarify the approximation characteristics of compactly supported orthogonal wavelets. We present an error tracking mechanism, which uses the available wavelet resources to measure the quality of the wavelet approximations. 
Multiresolution multidimensional wavelet brushing
TLDR
A form of brushing is introduced in which the brushed data is usually displayed at a different resolution than the non brushed data, which is implemented in an enhanced version of XmdvTool. Expand
A Tool for Hierarchical Representation and Visualization of Time-Varying Data
A wavelet-based data visualization tool is presented to support multiresolution analysis of very large multidimensional multivariate (mdmv) scientific data. It has the ability to display scientificExpand
Dual multiresolution HyperSlice for multivariate data visualization
We present a new multiresolution visualization design which allows a user to control the physical data resolution as well as the logical display resolution of multivariate data. A system prototype isExpand
Uncertainty visualization in the VisIt visualization environment
TLDR
This work presents extensions to the VisIt visualization environment that enable the scientist to visualize both multiresolution data and the uncertainty information associated with the lower resolution representations of the data. Expand
Evaluating the Efficacy of Wavelet Compression for Turbulent-Flow Data Visualization
We explore the ramifications of using wavelet compression on turbulent-flow data from scientific simulations. As upcoming I/O constraints may significantly hamper the ability of scientificExpand
Performance Evaluation of Multiresolution Isosurface Rendering
TLDR
A computational study is described that examines the multiresolution data representation model and evaluates its performance using real life volume datasets and explores the space/time tradeoffs of approximation construction within aMultiresolution hierarchy for volume data. Expand
Adaptive multiresolution visualization of large multidimensional multivariate scientific datasets
TLDR
An adaptive data representation model which can be utilized with many of the commonly employed visualization techniques when dealing with large amounts of data is presented and it is illustrated that information access from a dataset with tens of millions of data values can be achieved in real time. Expand
Interactive Out-of-Core Visualization of Multiresolution Time Series Data
TLDR
The framework includes resolution-aware and iteration-aware storage management strategies that make it possible to support interactive out-of-core visualizations of non-steady state flow fields. Expand
Multivariate visualization using metric scaling
The authors present an efficient visualization approach to support multivariate data exploration through a simple but effective low dimensional data overview based on metric scaling. A multivariateExpand
Multivariate visualization using metric scaling
The authors present an efficient visualization approach to support multivariate data exploration through a simple but effective low dimensional data overview based on metric scaling. A multivariateExpand
...
1
2
3
...

References

SHOWING 1-10 OF 32 REFERENCES
Volume data and wavelet transforms
  • S. Muraki
  • Computer Science
  • IEEE Computer Graphics and Applications
  • 1993
The application of 3D orthogonal wavelet transforms to real volume data is discussed. Examples of the wavelet transform and the reconstruction of 1D functions are presented. The application of the 3DExpand
Approximation and rendering of volume data using wavelet transforms
  • S. Muraki
  • Computer Science
  • Proceedings Visualization '92
  • 1992
TLDR
A method is presented to obtain a unique shape description of an object by using wavelet transforms, which can be varied point by point using the local property of the wavelets. Expand
Progressive transmission of scientific data using biorthogonal wavelet transform
TLDR
A new progressive transmission scheme using spline biorthogonal wavelet bases is proposed and a fast algorithm involving only additions and subtractions is developed, compatible with hierarchical-structured rendering algorithms. Expand
Characterization of Signals from Multiscale Edges
  • S. Mallat, S. Zhong
  • Mathematics, Computer Science
  • IEEE Trans. Pattern Anal. Mach. Intell.
  • 1992
TLDR
The authors describe an algorithm that reconstructs a close approximation of 1-D and 2-D signals from their multiscale edges and shows that the evolution of wavelet local maxima across scales characterize the local shape of irregular structures. Expand
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
  • S. Mallat
  • Computer Science, Mathematics
  • IEEE Trans. Pattern Anal. Mach. Intell.
  • 1989
TLDR
It is shown that the difference of information between the approximation of a signal at the resolutions 2/sup j+1/ and 2/Sup j/ can be extracted by decomposing this signal on a wavelet orthonormal basis of L/sup 2/(R/sup n/), the vector space of measurable, square-integrable n-dimensional functions. Expand
Multiresolution curves
TLDR
A multiresolution curve representation that conveniently supports a variety of operations: smoothing a curve; editing the overall form of a curve while preserving its details; and approximating a curve within any given error tolerance for scan conversion is described. Expand
Ten Lectures on Wavelets
TLDR
This paper presents a meta-analyses of the wavelet transforms of Coxeter’s inequality and its applications to multiresolutional analysis and orthonormal bases. Expand
Wavelet-based volume morphing
TLDR
The idea is to decompose the volumetric datasets into a set of frequency bands, apply smooth interpolation to each band, and reconstruct to form the morphed model. Expand
An introduction to wavelets
  • C. Chui
  • Mathematics, Computer Science
  • 1992
TLDR
An Overview: From Fourier Analysis to Wavelet Analysis, Multiresolution Analysis, Splines, and Wavelets. Expand
Wavelets and Dilation Equations: A Brief Introduction
  • G. Strang
  • Mathematics, Computer Science
  • SIAM Rev.
  • 1989
TLDR
It is shown in Part 1 how conditions on the $c_k $ lead to approximation properties and orthogonality properties of the wavelets, and the recursive algorithms that decompose and reconstruct f. Expand
...
1
2
3
4
...