Modeling and rendering non-euclidean spaces approximated with concatenated polytopes

Seung Wook Kim, Jaehyung Doh, Junghyun Han

Research output: Contribution to journalArticlepeer-review

Abstract

A non-Euclidean space is characterized as a manifold with a specific structure that violates Euclid's postulates. This paper proposes to approximate a manifold with polytopes. Based on the scene designer's specification, the polytopes are automatically concatenated and embedded in a higher-dimensional Euclidean space. Then, the scene is navigated and rendered via novel methods tailored to concatenated polytopes. The proof-of-concept implementation and experiments with it show that the proposed methods bring the virtual-world users unusual and fascinating experiences, which cannot be provided in Euclidean-space applications.

Original languageEnglish
Article number3530186
JournalACM Transactions on Graphics
Volume41
Issue number4
DOIs
Publication statusPublished - 2022 Jul 22

Keywords

  • Hypergraphics
  • Non-euclidean space

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design

Fingerprint

Dive into the research topics of 'Modeling and rendering non-euclidean spaces approximated with concatenated polytopes'. Together they form a unique fingerprint.

Cite this