Hypersliceplorer: Interactive Visualization of Shapes in Multiple Dimensions
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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
In this paper we present Hypersliceplorer, an algorithm for generating 2D slices of multi-dimensional shapes defined by a simplical mesh. Often, slices are generated by using a parametric form and then constraining parameters to view the slice. In our case, we developed an algorithm to slice a simplical mesh of any number of dimensions with a two-dimensional slice. In order to get a global appreciation of the multi-dimensional object, we show multiple slices by sampling a number of different slicing points and projecting the slices into a single view per dimension pair. These slices are shown in an interactive viewer which can switch between a global view (all slices) and a local view (single slice). We show how this method can be used to study regular polytopes, differences between spaces of polynomials, and multi-objective optimization surfaces.
Description
@article{10.1111:cgf.13415,
journal = {Computer Graphics Forum},
title = {{Hypersliceplorer: Interactive Visualization of Shapes in Multiple Dimensions}},
author = {Torsney-Weir, Thomas and Möller, Torsten and Sedlmair, Michael and Kirby, R. Mike},
year = {2018},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.13415}
}