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Introduction to Computer Graphics, Section 8.1 -- Ray Tracing
https://math.hws.edu/graphicsbook/c8/s1.html#:~:text=Ray-tracing%20can%20handle%20multiple%20mirror-like%20reflections%20between%20objects,is%20often%20referred%20to%20as%20%22recursive%20ray%20tracing.%22
Ray Tracing Algorithm - People
https://people.cs.vt.edu/yongcao/teaching/csx984/fall2011/documents/Lecture4_RayTracing_Algorithm.pdf
B. Ray Tracing Algorithm. Copyright © 2010 by Yong Cao. For each pixel construct a ray: eye pixel. raytrace( ray ) P = closest intersection color_local = ShadowRay(light1, P)+… + ShadowRay(lightN, P) color_reflect = raytrace(reflected_ray ) color_refract = raytrace(refracted_ray ) color = color_local + k. re.
Introduction to Ray Tracing: a Simple Method for Creating …
https://www.scratchapixel.com/lessons/3d-basic-rendering/introduction-to-ray-tracing/adding-reflection-and-refraction
Compute the reflection color, compute the refraction color, and then apply the Fresnel equation. First we compute the reflection direction. For that we need two items: the normal at the point of intersection and the primary ray's direction. Once we obtain the reflection direction, we shoot a new ray in that direction.
Ray tracing (graphics) - Wikipedia
https://en.wikipedia.org/wiki/Ray_tracing_(graphics)
Reflections and Refractions in Ray Tracing - Stanford University
https://graphics.stanford.edu/courses/cs148-10-summer/docs/2006--degreve--reflection_refraction.pdf
The calculation of the refracted ray starts with Snell’s law [1] which tellsthatthe products of therefractiveindices and sines of the angles must be equal: η 1sinθ i = η 2sinθ t (15) You can write this as: sinθ t = η 1 η 2 sinθ i (16) Withthis equation, you can already see there’s a bit of a prob-lem when sinθ 1 > η2 η1. If that’s the case, sinθ
RayTracing – Adding Reflection and Refraction – Cheney …
https://cheneyshen.com/raytracing-adding-reflection-and-refraction/
Going back to our old example, let’s say the reflection ray hits the red sphere. Using Appel’s algorithm, we find out how much light reaches that point on the red sphere by shooting a shadow ray to the light. That obtains a color (black if it is shadowed) which is then multiplied by the light intensity and returned to the glass ball’s surface.
Introduction to Shading (Reflection, Refraction and Fresnel)
https://www.scratchapixel.com/lessons/3d-basic-rendering/introduction-to-shading/reflection-refraction-fresnel
Note that reflection (as many of the other shading effect we will study from now on) can be perfectly simulated with the ray-tracing algorithm. Remember that ray-tracing is essentially a technique for computing the visibility between two points. In this particular case, we compute the visibility between the point from which the ray is cast to the first surface that the ray intersects …
Ray Tracing - courses.cs.washington.edu
https://courses.cs.washington.edu/courses/csep557/19sp/assets/lectures/ray-tracing-1pp.pdf
Ray-tracing pseudocode, revisited functiontraceRay(scene, P, d): (t Ç, N, mtrl) ¬scene.intersect(P, d) Qßray (P, d) evaluated at t Ç I= shade (scene, mtrl, Q, N, d) R= reflectDirection(N, d) I ¬I+ mtrl.k s*traceRay(scene, Q, R) ifray is entering object then hi= index_of_air(=1.0003) h t= mtrl.index else hi= mtrl.index ht= index_of_air(=1.0003)
Basic Ray Tracing - Inspiring Innovation
https://www.csee.umbc.edu/~adamb/435/Slides/raytrace.pdf
Full Ray-Tracing • For each pixel – Compute ray direction – Find closest surface – For each light • Shoot shadow ray • If not shadowed, add direct illumination – Shoot ray in reflection direction – Shoot ray in refraction direction Dielectric if (pis on a dielectric) then r= reflect (d, n) if (d.n< 0) then refract (d, n, n, t) c = -d.n
Ray Tracing Reflections and Refractions - University of Otago
http://www.cs.otago.ac.nz/cosc342/2017-notes/342-2017lect18.pdf
Can avoid the recursion colour render(ray, scene, maxDepth) depth = 0 fraction = 1 colour = background while (depth < maxDepth && fraction > TINY) hit = intersect(ray, scene) colour = (1-fraction)*colour + fraction*hit.colour fraction *= hit.kr ray = reflect(ray) depth++ COSC342 Ray Tracing Re ections and Refractions 7 Refraction
GPU-based Monte Carlo ray tracing simulation …
https://www.sciencedirect.com/science/article/pii/S096014812200619X
Compared with the classical Monte Carlo ray-tracing simulation method that only considers the ray's reflection, refraction reduces the maximum radiative flux and total energy by up to 80% and 50%, respectively. Refraction also causes the flux spot reflected on the receiver panel to spread greatly.
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