Display of Surfaces from Volume Data
IEEE Computer Graphics and Applications
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computer graphics: principles and practice (2nd ed.)
Computer graphics: principles and practice (2nd ed.)
Footprint evaluation for volume rendering
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Volumetric shape description of range data using “Blobby Model”
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Ten lectures on wavelets
Multiscale 3D edge representation of volume data by a DOG wavelet
VVS '94 Proceedings of the 1994 symposium on Volume visualization
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Volume Data and Wavelet Transforms
IEEE Computer Graphics and Applications
Time critical isosurface refinement and smoothing
VVS '00 Proceedings of the 2000 IEEE symposium on Volume visualization
Proceedings of the conference on Visualization '01
Multiresolution Representation and Visualization of Volume Data
IEEE Transactions on Visualization and Computer Graphics
Structure-Significant Representation of Structured Datasets
IEEE Transactions on Visualization and Computer Graphics
Multidimensional Transfer Functions for Interactive Volume Rendering
IEEE Transactions on Visualization and Computer Graphics
An Efficient Wavelet-Based Compression Method for Volume Rendering
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Optimization of basis functions for both reconstruction and visualization
Discrete Applied Mathematics - The 2001 international workshop on combinatorial image analysis (IWCIA 2001)
Reducing 3D Fast Wavelet Transform Execution Time Using Blocking and the Streaming SIMD Extensions
Journal of VLSI Signal Processing Systems
Implicit surface visualization of reconstructed biological molecules
Theoretical Computer Science - In memoriam: Alberto Del Lungo (1965-2003)
A lossy 3D wavelet transform for high-quality compression of medical video
Journal of Systems and Software
Assessing the effects of data compression in simulations using physically motivated metrics
SC '13 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis
| Hi-index | 0.00 |
This article presents a method for decomposing volume data into 3D DoG (difference of Gaussians) functions by using the frame theory [1] of nonorthogonal wavelets. Since we can think of a DoG function as a pair of Gaussian functions, we can consider this method an automatic generation of Blinn驴s blobby objects [2]. We can also use this representation method for data compression by neglecting the insignificant coefficients, since the wavelet coefficients have significant values only where the volume density changes. Further, since the DoG function closely approximates a 驴2G (Laplacian of Gaussian) function, the representation can be considered a hierarchy of the 3D edges on different resolution spaces. Using the spherically symmetric feature of the 3D DoG function, we can easily visualize the 3D edge structure by the density reprojection method [3], [4]. We will apply our representation method to medical CT volume data and show its efficiency in describing the spatial structure of the volume.