Computing Manifold Next-Event Estimation without Derivatives using the Nelder-Mead Method

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dc.contributor.authorGranizo-Hidalgo, Anaen_US
dc.contributor.authorHolzschuch, Nicolasen_US
dc.contributor.editorHaines, Ericen_US
dc.contributor.editorGarces, Elenaen_US
dc.date.accessioned2024-06-25T11:06:02Z
dc.date.available2024-06-25T11:06:02Z
dc.date.issued2024
dc.description.abstractSpecular surfaces, by focusing the light that is being reflected or refracted, cause bright spots in the scene, called caustics. These caustics are challenging to compute for global illumination algorithms. Manifold-based methods (Manifold Exploration, Manifold Next-Event Estimation, Specular Next Event Estimation) compute these caustics as the zeros of an objective function, using the Newton-Raphson method. They are efficient, but require computing the derivatives of the objective function, which in turn requires local surface derivatives around the reflection point, which can be challenging to implement. In this paper, we leverage the Nelder-Mead method to compute caustics using Manifold Next-Event Estimation without having to compute local derivatives. Our method only requires local evaluations of the objective function, making it an easy addition to any path-tracing algorithm.en_US
dc.description.sectionheadersGlobal Illumination
dc.description.seriesinformationEurographics Symposium on Rendering
dc.identifier.doi10.2312/sr.20241156
dc.identifier.isbn978-3-03868-262-2
dc.identifier.issn1727-3463
dc.identifier.pages9 pages
dc.identifier.urihttps://doi.org/10.2312/sr.20241156
dc.identifier.urihttps://diglib.eg.org/handle/10.2312/sr20241156
dc.publisherThe Eurographics Associationen_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectCCS Concepts: Computing methodologies -> Ray tracing
dc.subjectCCS Concepts
dc.subjectComputing methodologies
dc.subject> Ray tracing
dc.titleComputing Manifold Next-Event Estimation without Derivatives using the Nelder-Mead Methoden_US
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