Conference material: "Proceedings of the International Conference on Computer Graphics and Vision “Graphicon” (22-25 September 2020, St. Petersburg)"
Authors:Batyukov A.A., Popov E.V., Vogt N.I.
Visualization of Multidimensional Surfaces and their Extrema
Abstract:
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 the classical Lumigraph and formulates the reasons for this. To overcome these disadvantages, the authors introduce the concept of an additional screen. The paper describes 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 as well as a software package for visualization of table-defined multidimensional surfaces.
