Precision Improvements for Ray/Sphere Intersection

Eric Haines; Johannes Gunther; Tomas Akenine-Möller

doi:10.1007/978-1-4842-4427-2_7

Precision Improvements for Ray/Sphere Intersection

Eric Haines, Johannes Gunther, Tomas Akenine-Möller

ELLIIT: the Linköping-Lund initiative on IT and mobile communication

Forskningsoutput: Kapitel i bok/rapport/Conference proceeding › Kapitel samlingsverk › Peer review

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The traditional quadratic formula is often presented as the way to compute the intersection of a ray with a sphere. While mathematically correct, this factorization can be numerically unstable when using floating-point arithmetic. We give two little-known reformulations and show how each can improve precision.

Originalspråk	engelska
Titel på värdpublikation	Ray Tracing Gems
Undertitel på värdpublikation	High-Quality and Real-Time Rendering with DXR and Other APIs
Redaktörer	Eric Haines, Tomas Akenine-Möller
Förlag	Apress
Kapitel	7
Sidor	87-94
Antal sidor	8
ISBN (elektroniskt)	978-1-4842-4427-2
ISBN (tryckt)	978-1-4842-4426-5
DOI	https://doi.org/10.1007/978-1-4842-4427-2_7
Status	Published - 2019

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10.1007/978-1-4842-4427-2_7Licens: CC BY-NC-ND

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title = "Precision Improvements for Ray/Sphere Intersection",

abstract = "The traditional quadratic formula is often presented as the way to compute the intersection of a ray with a sphere. While mathematically correct, this factorization can be numerically unstable when using floating-point arithmetic. We give two little-known reformulations and show how each can improve precision.",

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Precision Improvements for Ray/Sphere Intersection

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