Real-time Rendering of Algebraic Surfaces via Polynomial Fitting
| dc.contributor.author | Kariko, Csongor Csanád | |
| dc.contributor.author | Valasek, Gábor | |
| dc.contributor.editor | Skala, Václav | |
| dc.date.accessioned | 2025-07-30T10:26:08Z | |
| dc.date.available | 2025-07-30T10:26:08Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract-translated | We investigate the problem of robust real-time algebraic surface rendering. We show that expressing the composition 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, is a viable approach to overcome the robustness issues. In addition, we discuss a heuristic method for determining split locations. | en |
| dc.description.sponsorship | Supported by the EKÖP-24 University Excellence scholarship program of the Ministry for Culture and Innovation from the source of the National Research, Development and Innovation fund. Supported by ELTE Eötvös Loránd University, Budapest, Hungary. | |
| dc.format | 10 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.identifier.doi | http://www.doi.org/10.24132/CSRN.2025-28 | |
| dc.identifier.issn | 2464-4617 (Print) | |
| dc.identifier.issn | 2464-4625 (online) | |
| dc.identifier.uri | http://hdl.handle.net/11025/62238 | |
| dc.language.iso | en | en |
| dc.publisher | Vaclav Skala - UNION Agency | en |
| dc.rights | © Vaclav Skala - UNION Agency | en |
| dc.rights.access | openAccess | en |
| dc.subject | počítačová grafika | cs |
| dc.subject | algebraické plochy | cs |
| dc.subject | pochod paprsků | cs |
| dc.subject | polynomiální interpolace | cs |
| dc.subject.translated | computer graphics | en |
| dc.subject.translated | algebraic surfaces | en |
| dc.subject.translated | ray marching | en |
| dc.subject.translated | polynomial interpolation | en |
| dc.title | Real-time Rendering of Algebraic Surfaces via Polynomial Fitting | en |
| dc.type | konferenční příspěvek | cs |
| dc.type | conferenceObject | en |
| dc.type.status | Peer reviewed | en |
| dc.type.version | publishedVersion | en |
| local.files.count | 1 | * |
| local.files.size | 3623157 | * |
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