Visualization of Geometric Models of Faceted Solids in Point Calculus

Konopatskiy, E. V.; Ryabinin, K. V.; Bezditnyi, A. A.

Publication:
Visualization of Geometric Models of Faceted Solids in Point Calculus

creativeworkseries.issn	2079-3537
dc.contributor.author	Konopatskiy, E. V.
dc.contributor.author	Ryabinin, K. V.
dc.contributor.author	Bezditnyi, A. A.
dc.date.accessioned	2023-09-28T14:03:19Z
dc.date.available	2023-09-28T14:03:19Z
dc.date.issued	2023
dc.description.abstract	The paper considers the case of faceted solids and discusses visualisation of geometric solids in the form of a three-parameter set of points which belongs to a three-dimensional space. To visualize geometric solids, taking advantage of the modern GPU hardware acceleration, the Ray marching method is used. The implementation considers the definition of a signed distance function, which is reduced to the task of determining the set of intersection points of the projection rays with the rendered geometric solid. After that, for each pixel of the screen, its color is determined in accordance with whether the ray passes through the geometric solid or not. The analytical description of geometric solids and the solution of their intersection problem with projecting rays are solved within the framework of the point calculus mathematical apparatus. As a result, it was concluded that the proposed approach justifies itself, providing high rendering performance and the complete absence of visual artifacts when rendering faceted solids.
dc.identifier.citation	E.V. Konopatskiy, K.V. Ryabinin, A.A. Bezditnyi. Visualization of Geometric Models of Faceted Solids in Point Calculus (2023). Scientific Visualization 15.1: 60 - 70, DOI: 10.26583/sv.15.1.05
dc.identifier.doi	10.26583/sv.15.1.05
dc.identifier.doi	10.26583/sv.15.1.05
dc.identifier.issn	2079-3537
dc.identifier.uri	https://openrepository.mephi.ru/handle/123456789/341
dc.identifier.uri	http://sv-journal.org/2023-1/05/
dc.relation.ispartof	Scientific Visualization
dc.subject	Visualization
dc.subject	Point calculus
dc.subject	Geometric solid
dc.subject	Solid-state modeling
dc.subject	Ray marching
dc.subject	Distance sign function
dc.subject	Hree-parameter set of points
dc.title	Visualization of Geometric Models of Faceted Solids in Point Calculus
dc.type	journal-article
dspace.entity.type	Publication
journal.title	Научная визуализация
journalvolume.identifier.name	Научная визуализация
oaire.citation.issue	1
oaire.citation.volume	15
relation.isJournalIssueOfPublication	8787e8db-c279-4dde-b63a-154e9f449a2f
relation.isJournalIssueOfPublication.latestForDiscovery	8787e8db-c279-4dde-b63a-154e9f449a2f
relation.isJournalOfPublication	95b5bb8c-faac-4680-a70f-5adf56268bdc