Display of Surfaces from Volume Data
IEEE Computer Graphics and Applications
Generation of transfer functions with stochastic search techniques
Proceedings of the 7th conference on Visualization '96
The transfer function bake-off (panel session)
Proceedings of the conference on Visualization '00
Self-Organizing Maps
Introduction to Algorithms
Proceedings of the conference on Visualization '01
Multidimensional Transfer Functions for Interactive Volume Rendering
IEEE Transactions on Visualization and Computer Graphics
OpenMP: An Industry-Standard API for Shared-Memory Programming
IEEE Computational Science & Engineering
Laplacian Eigenmaps for dimensionality reduction and data representation
Neural Computation
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
A Novel Interface for Higher-Dimensional Classification of Volume Data
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Curvature-Based Transfer Functions for Direct Volume Rendering: Methods and Applications
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Volume visualization and exploration through flexible transfer function design
Computers and Graphics
Texture-based Transfer Functions for Direct Volume Rendering
IEEE Transactions on Visualization and Computer Graphics
Size-based Transfer Functions: A New Volume Exploration Technique
IEEE Transactions on Visualization and Computer Graphics
Mapping Uncharted Waters: Exploratory Analysis, Visualization, and Clustering of Oceanographic Data
ICMLA '08 Proceedings of the 2008 Seventh International Conference on Machine Learning and Applications
An introduction to nonlinear dimensionality reduction by maximum variance unfolding
AAAI'06 proceedings of the 21st national conference on Artificial intelligence - Volume 2
Structuring Feature Space: A Non-Parametric Method for Volumetric Transfer Function Generation
IEEE Transactions on Visualization and Computer Graphics
A Taxonomy of Visual Cluster Separation Factors
Computer Graphics Forum
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The design of transfer functions for volume rendering is a nontrivial task. This is particularly true for multi-channel data sets, where multiple data values exist for each voxel, which require multi-dimensional transfer functions. In this article, we propose a new method for multi-dimensional transfer function design. Our new method provides a framework to combine multiple computational approaches and pushes the boundary of gradient-based multidimensional transfer functions to multiple channels, while keeping the dimensionality of transfer functions at a manageable level, that is, a maximum of three dimensions, which can be displayed visually in a straightforward way. Our approach utilizes channel intensity, gradient, curvature and texture properties of each voxel. Applying recently developed nonlinear dimensionality reduction algorithms reduce the high-dimensional data of the domain. In this article, we use Isomap and Locally Linear Embedding as well as a traditional algorithm, Principle Component Analysis. Our results show that these dimensionality reduction algorithms significantly improve the transfer function design process without compromising visualization accuracy. We demonstrate the effectiveness of our new dimensionality reduction algorithms with two volumetric confocal microscopy data sets.