The grand tour: a tool for viewing multidimensional data
SIAM Journal on Scientific and Statistical Computing
Some techniques for visualizing surfaces in four-dimensional space
Computer-Aided Design - Beyond solid modelling
Visualizing structure in high-dimensional multivariate data
IBM Journal of Research and Development
Interactive manipulation and display of surfaces in four dimensions
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
Geometry for n-dimensional graphics
Graphics gems IV
Visualizing the behavior of higher dimensional dynamical systems
VIS '97 Proceedings of the 8th conference on Visualization '97
A computer technique for displaying n-dimensional hyperobjects
Communications of the ACM
Visualizing and investigating multidimensional functions
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Viewpoint entropy: a new tool for obtaining good views of molecules
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Beyond the Third Dimension: Geometry, Computer Graphics, and Higher Dimensions
Beyond the Third Dimension: Geometry, Computer Graphics, and Higher Dimensions
Visualizing Multivariate Functions, Data, and Distributions
IEEE Computer Graphics and Applications
Experiments with Random Projection
UAI '00 Proceedings of the 16th Conference on Uncertainty in Artificial Intelligence
High Dimensional Brushing for Interactive Exploration of Multivariate Data
VIS '95 Proceedings of the 6th conference on Visualization '95
VIS '95 Proceedings of the 6th conference on Visualization '95
Visualization of multi-dimensional scalar functions using hyperslice
Visualization of multi-dimensional scalar functions using hyperslice
Visualizing the fourth dimension using geometry and light
VIS '91 Proceedings of the 2nd conference on Visualization '91
HyperSlice: visualization of scalar functions of many variables
VIS '93 Proceedings of the 4th conference on Visualization '93
Spiders: a new user interface for rotation and visualization of n-dimensional point sets
VIS '94 Proceedings of the conference on Visualization '94
Physically interacting with four dimensions
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
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To extract useful information from high-dimensional geometric or structural data, we must find low-dimensional projections that are informative and interesting to look at. The conventional, manual-interaction methods used for this purpose are ineffective when the dimensionality of the data is high, or when the geometric models are complex. Standard methods for determining useful low-dimensional views are either limited to discrete data, or to geometric information embedded in at most three dimensions. Since geometric data embedded in dimensions above three have distinct characteristics and visualization requirements, finding directly applicable techniques is a challenge. We present a comprehensive framework for exploring high-dimensional geometric data motivated by projection pursuit techniques. Our approach augments manual exploration by generating sets of salient views that optimize a customizable family of geometry-sensitive measures. These views serve to reveal novel facets of complex manifolds and equations.