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Creeping Ray Tracing Algorithm for Arbitrary NURBS Surfaces Ba…
https://www.hindawi.com/journals/ijap/2015/604861/#:~:text=4.1.%20Creeping%20Ray%20Tracing%20Algorithm%20Validation%20%20,%280.8638%2C%200.5028%2C%202.999%29%20%203%20more%20rows%20
Fast ray tracing NURBS surfaces | SpringerLink
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Practical Ray Tracing of Trimmed NURBS Surfaces
https://www.cs.utah.edu/gdc/publications/papers/raynurbs.pdf
2 Ray Tracing NURBS In ray tracing a surface, we pose the question “At what points does a ray intersect the surface?” We define a ray as having an origin and a unit direction r(t)=o+ d^ t: A non-uniform rational B-spline (NURBS) surface can be formulated as Sw(u;v)= MX−1 i=0 NX−1 j=0 Pw i;j B j;k u (u)B i;k v (v)
(PDF) Direct and fast ray tracing of NURBS surfaces
https://www.researchgate.net/publication/232644373_Direct_and_fast_ray_tracing_of_NURBS_surfaces
Ray tracing such surfaces is usually accomplished by subdividing the surfaces on the fly, or by conversion to a polygonal representation. However, on …
Direct and Fast Ray Tracing of NURBS Surfaces | IEEE …
https://ieeexplore.ieee.org/document/4061558/
Direct and Fast Ray Tracing of NURBS Surfaces Abstract: 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.
Ray tracing of optical systems using NURBS surfaces
https://www.researchgate.net/publication/230965186_Ray_tracing_of_optical_systems_using_NURBS_surfaces
Ray tracing of optical systems using. NURBS surfaces. Davide Bianchi, Manuel Sánchez del Río and Claudio Ferr ero. European Synchrotron Radiation Facility, BP 220, F-38043 Grenoble Cede x ...
A new method for speeding up ray tracing NURBS surfaces
https://www.sciencedirect.com/science/article/pii/S0097849397872639
It can be used both for getting a good start point for the Newton iteration and for efficiently detecting whether a ray intersects a patch. The method proposed for speeding up ray tracing NURBS surfaces can reduce both the iteration steps and arithmetic operations, thus much CPU time is saved.
Optimizing Ray Tracing of Trimmed NURBS Surfaces on the GPU
https://onlinelibrary.wiley.com/doi/10.1111/cgf.14410
Ray tracing of NURBS surfaces has not been widely used in industry due to its computational complexity that hinders achieving real-time performance in practice. We propose novel methods achieving faster point location search needed by trimming in the context of ray tracing trimmed NURBS surfaces.
Efficient Ray Tracing of Trimmed NURBS Surfaces - cvut.cz
https://dcgi.fel.cvut.cz/home/havran/ARTICLES/EfremovMasterThesis.pdf
So, in order to improve performance of ray tracing, it is better to subdivide each NURBS curve (surface) into rational B´ezier splines (patches) during preprocessing step and operate with rational B´ezier splines (patches) as basic units.
How to raytrace Bezier surfaces? - Computer Graphics …
https://computergraphics.stackexchange.com/questions/374/how-to-raytrace-bezier-surfaces
"Real" ray tracers tend to do some combination of two things: Placing a bounding hierarchy (e.g. AABBs) on the patch to get a good "initial value" for a numeric root finder. If you do this well, you can avoid the "wrinkle" problem. Tesselating the patch into DDG shells and ray tracing them like polygon meshes.
Creeping Ray Tracing Algorithm for Arbitrary NURBS …
https://www.hindawi.com/journals/ijap/2015/604861/
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