Open AccessVisualization of Multidimensional Surfaces and their Extrema
Author(s) -
A. Batyukov,
E.V. Popov,
N. Vogt
Publication year - 2020
Publication title -
trudy meždunarodnoj konferencii po kompʹûternoj grafiki i zreniû "grafikon"
Language(s) - English
Resource type - Journals
ISSN - 2618-8317
DOI - 10.51130/graphicon-2020-1-28-39
Subject(s) - maxima and minima , hypersurface , visualization , computer science , dimension (graph theory) , table (database) , software , data mining , data visualization , artificial intelligence , computer graphics (images) , algorithm , mathematics , mathematical analysis , pure mathematics , programming language
The article describes a method for multidimensional visualization of a hypersurface and its extrema according to the Lumigraph model. The article shows the shortcomings of classical Lumigraph and formulates the reasons for this. To overcome these disadvantages, the authors introduce the concept of an additional screen. The paper describes the rules for constructing an image on this screen. The final image makes the entire hypersurface and its extrema areas visible. It also demonstrates the possibility of visualizing hypersurfaces with a dimension of more than 5D as a development of the Lumigraph model, the way the Exidiagraph model has been developed, and a method for its construction. The concept of a pseudo-voxel is introduced for displaying a hypersurface represented by a multidimensional table and a software package for the visualization of table-defined multidimensional surfaces.