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Hypersliceplorer: Interactive visualization of shapes in multiple dimensions
Author(s) -
TorsneyWeir T.,
Möller T.,
Sedlmair M.,
Kirby R. M.
Publication year - 2018
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/cgf.13415
Subject(s) - slicing , computer science , polytope , dimension (graph theory) , visualization , object (grammar) , algorithm , parametric statistics , computer graphics (images) , theoretical computer science , mathematics , artificial intelligence , geometry , combinatorics , statistics
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.