Научная визуализация, 2020, том 12, номер 4, страницы 98 - 107, DOI: 10.26583/sv.12.4.09

Visualization of multidimensional surface given in tabular form

Авторы: Eugene Popov^1,A, Anatoly Batiukov^2,A, Tatyana Popova^3,B, Natalja Vogt^{4,С, D}

^A Nizhegorodsky State Architectural and Civil Engineering University

^B National Research University Higher School of Economics

^C University of Ulm (Germany)

^D Lomonosov Moscow State University

¹ ORCID: 0000-0002-3058-2369, popov_eugene@list.ru

² ORCID: 0000-0002-1050-1883, absterno@gmail.com

³ ORCID: 0000-0002-1351-222X, tatpop@list.ru

⁴ ORCID: 0000-0001-7190-5702, natalja.vogt@uni-ulm.de

 

Аннотация

The paper describes a graphic model named Exidiagraph. The model is intended for visualization of tabulated hypersurfaces dimension 5D and higher. Visualization of such hypersurfaces is important for a variety of reasons such as quick and adequate understanding of the physical, chemical, and other phenomena meanings. For example, an important task in physics or chemistry is to find the extrema of hyperfunctions obtained during quantum mechanical calculations. In addition, it seems promising to use the model to solve the problem of finding the path with the least energy between the local extrema of the multidimensional hypersurface. The Exidiagraph model consists of a circular set of planes associated with 2D coordinate systems. The model is a further development of the idea underlying the Lumigraph model. Besides, the visualized Exidiagraph model is aesthetically attractive and has a high degree of visibility.

 

Ключевые слова: Scientific visualization, multidimensional function, hypersurface.