Real-Time Rendering of Algebraic Surfaces
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Date
2025
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
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.
Description
CCS Concepts: Computing methodologies → Ray tracing
@inproceedings{10.2312:egp.20251026,
booktitle = {Eurographics 2025 - Posters},
editor = {Günther, Tobias and Montazeri, Zahra},
title = {{Real-Time Rendering of Algebraic Surfaces}},
author = {Karikó, Csongor Csanád and Valasek, Gábor},
year = {2025},
publisher = {The Eurographics Association},
ISSN = {1017-4656},
ISBN = {978-3-03868-269-1},
DOI = {10.2312/egp.20251026}
}