Adjusting degree of visual complexity: an interactive approach for exploring four-dimensional polytopes

被引：4
|
作者：
Morey, J [1 ]
Sedig, K
机构：
[1] Univ Western Ontario, Dept Comp Sci, Cognit Engn Lab, London, ON N6A 3K7, Canada
[2] Univ Western Ontario, Fac Informat & Media Studies, Cognit Engn Lab, London, ON N6A 3K7, Canada
来源：
VISUAL COMPUTER | 2004年 / 20卷 / 8-9期
关键词：
mathematical visualization; high-dimensional geometry; interactive techniques; computer-aided visual reasoning; dynamic exploration;
D O I：
10.1007/s00371-004-0259-x
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Few mathematical visualization tools support integrated, flexible interaction with complex, 4D mathematical concepts. This paper presents a solution to exploring uniform 4D polytopes through a mathematical visualization tool by introducing an approach for adjusting the degree of visual complexity of these complicated geometric structures. This approach introduces a number of interactive techniques: contextualizing, filtering, focus+scoping, and stacking-unstacking. Although these techniques can be effectively used in isolation, their integrated application provides highly specified and sophisticated interaction with polytopes, helping users make sense of these challenging mathematical structures. Exploring complicated structures from other domains such as chemistry and biology may benefit from this approach.
引用
收藏
页码：565 / 585
页数：21
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