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Ray tracing a torus - Programming is Magic
http://blog.marcinchwedczuk.pl/ray-tracing-torus
ray_tracing/Torus.cpp at master · longbefer/ray_tracing
https://github.com/longbefer/ray_tracing/blob/master/Torus.cpp
光线追踪技术. Contribute to longbefer/ray_tracing development by creating an account on GitHub.
Line-Torus Intersection for Ray Tracing: Alternative …
https://www.wseas.org/multimedia/journals/computers/2013/025705-201.pdf
touching or intersecting the torus line (27) and (28) then (29) It can be shown that the matrix is defined as (30) are coefficients of an implicit equation we can simply write (31) As the implicit form is used, coefficients of a line can be multiplied by any non-zero constant and the line will be same. Therefore
Torus-Ray-Tracing | For the answer of Tex
https://kandi.openweaver.com/html/kelalaka153/Torus-Ray-Tracing
Torus-Ray-Tracing has a low active ecosystem. It has 2 star(s) with 0 fork(s). It had no major release in the last 12 months. It has a neutral sentiment in the developer community.
ray-tracing/Torus.cpp at master · robtherobot101/ray …
https://github.com/robtherobot101/ray-tracing/blob/master/Torus.cpp
Contribute to robtherobot101/ray-tracing development by creating an account on GitHub.
Line-torus intersection for ray tracing: Alternative …
https://www.researchgate.net/publication/286982141_Line-torus_intersection_for_ray_tracing_Alternative_formulations
Intersection of a line or ray with a surface is the key problem solved in all ray-tracing techniques. Due to the computational complexity a bounding volumes are use d to detect cases when a line...
Torus intersection : raytracing
https://www.reddit.com/r/raytracing/comments/e17ly5/torus_intersection/
Yes, what the others are saying: what you do to position your torus is use a transform matrix with translation, scale, and rotation in it. When you want to intersect a ray with the object, you transform the ray's origin by the inverse of this matrix, and transform the ray direction by the transpose of the 3x3 rotation part of the matrix.
Numerical Methods for Ray Tracing Implicitly …
https://www.cs.williams.edu/~morgan/cs371-f14/reading/implicit.pdf
Numerical Methods for Ray Tracing Implicitly Defined Surfaces ... the triangle), cylinder, cone, and torus. It is not surpris-ing that these surfaces admit analytic solutions, since implicit equations are first- and second-order polynomials amenable to the quadratic formula. It should also not be surprising that there is no
Ray tracing primitives - University of Cambridge
https://www.cl.cam.ac.uk/teaching/1999/AGraphHCI/SMAG/node2.html
To find the intersection points of a ray with a torus you need to substitute Equation 24 in Equation 54. Equation 58 is that substitution with the term expanded, the resulting square root term placed on one side of the equals sign, and all other terms placed on the other side: If we now square both sides we will get a quartic equation in t.
geometry - Annuloid (Torus)-line intersection - Stack …
https://math.stackexchange.com/questions/7829/annuloid-torus-line-intersection
find starting values of t min and t max by intersecting your ray with the bounding box of the torus, use the interval arithmetic mentioned above to determine whether it's possible for an intersection to appear within that range, and then use binary subdivision (always exploring the 'earlier' - closer to the camera - branch of the subdivision …
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