Real-Time Rendering of Algebraic Surfaces
| dc.contributor.author | Karikó, Csongor Csanád | en_US |
| dc.contributor.author | Valasek, Gábor | en_US |
| dc.contributor.editor | Günther, Tobias | en_US |
| dc.contributor.editor | Montazeri, Zahra | en_US |
| dc.date.accessioned | 2025-05-09T09:31:43Z | |
| dc.date.available | 2025-05-09T09:31:43Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | We investigate the problem of robust and real-time rendering of algebraic surfaces. We show that expressing the intersection of the ray and the algebraic surface as a single univariate polynomial is not robust in practice, comparing results between monomial, Bernstein, Lagrange, and Chebyshev basis fits. We show that fitting multiple polynomials over subintervals, such as a unit length subdivision of the ray extent within the region of interest, improves robustness at a negligible performance cost. | en_US |
| dc.description.sectionheaders | Posters | |
| dc.description.seriesinformation | Eurographics 2025 - Posters | |
| dc.identifier.doi | 10.2312/egp.20251026 | |
| dc.identifier.isbn | 978-3-03868-269-1 | |
| dc.identifier.issn | 1017-4656 | |
| dc.identifier.pages | 2 pages | |
| dc.identifier.uri | https://doi.org/10.2312/egp.20251026 | |
| dc.identifier.uri | https://diglib.eg.org/handle/10.2312/egp20251026 | |
| dc.publisher | The Eurographics Association | en_US |
| dc.rights | Attribution 4.0 International License | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | CCS Concepts: Computing methodologies → Ray tracing | |
| dc.subject | Computing methodologies → Ray tracing | |
| dc.title | Real-Time Rendering of Algebraic Surfaces | en_US |