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Direct and Fast Ray Tracing of NURBS Surfaces | IEEE …
https://ieeexplore.ieee.org/document/4061558/
(PDF) Direct and fast ray tracing of NURBS surfaces
https://www.researchgate.net/publication/232644373_Direct_and_fast_ray_tracing_of_NURBS_surfaces
To find the intersection. of a surface S ( u, v) and a ray, we ha ve to find the roots of. R ( u, v) = N 1 S ( u, v) + d 1. N 2 S ( u, v) + d 2 (4) R becoming zero …
Direct and Fast Ray Tracing of NURBS Surfaces
https://apps.fz-juelich.de/jsc-pubsystem/aigaion/attachments/abert_ea2006nurbs.pdf-e6c31ac58695423b6f5786ec8f8a7774.pdf
Direct and Fast Ray Tracing of NURBS Surfaces Oliver Abert∗ Universit¨at Koblenz-Landau Markus Geimer† Forschungszentrum Ju¨lich Stefan Mu¨ller‡ Universit¨at Koblenz-Landau Abstract Recently it has been shown that B´ezier surfaces can be used as a geometric primitive for interactive ray tracing on a single commod-ity PC.
Direct and Fast Ray Tracing of NURBS Surfaces - Home ICM
https://www.infona.pl/resource/bwmeta1.element.ieee-art-000004061558
Recently it has been shown that Bezier surfaces can be used as a geometric primitive for interactive ray tracing on a single commodity PC. However, the Bezier representation is restricted, as a large number of control points also imply a high polynomial degree, thus reducing the frame rate significantly. In this work we present a fast, efficient and robust algorithm to ray trace …
Abstract Direct and Fast Ray Tracing of NURBS Surfaces
https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.90.7500
CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Recently it has been shown that Bézier surfaces can be used as a geometric primitive for interactive ray tracing on a single commodity PC. However, the Bézier representation is restricted, as a large number of control points also implies a high polynomial degree, thus reducing the frame rate significantly.
Fast ray tracing NURBS surfaces | SpringerLink
https://link.springer.com/article/10.1007/BF02943518
Also, a ray is defined to be the intersection of two planes, which are non-orthogonal in general, in such a way that the number of multiplication operations is reduced. In the preprocessing step, NURBS surfaces are subdivided adaptively into rational Bézier patches. Parallelepipeds are used to enclose the respective patches as tightly as possible.
A new method for speeding up ray tracing NURBS surfaces
https://www.sciencedirect.com/science/article/pii/S0097849397872639
The knot-insertion algorithms [10, 21, (13) Speeding up ray tracing NURBS surfaces 581 22] can be extended to subdivide the current part of the NURBS surface [32] by halving either in the a- or in the t,-direction. The subdivision stops when the height of the trapezoid prism enclosing the resulting part is less than the preset value.
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