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Ray Tracing: Intersection
https://www.cs.rit.edu/~jmg/courses/cgII/20041/slides/7-1-rayTracingIntersect.pdf
raytracing - Ray tracing intersection test by transforming …
https://stackoverflow.com/questions/8198998/ray-tracing-intersection-test-by-transforming-the-ray
Closed 10 years ago. I'm trying to implement a basic ray tracer, which involve transform each ray into each object space and test intersection with the affinely deformed object by multiply the inverse of the affine transformation matrix with the ray. The intersection test is correct when the object is rotated, scaled, but not translated.
Ray Tracing: intersection and shading
https://www.cs.cornell.edu/courses/cs4620/2013fa/lectures/03raytracing1.pdf
Ray-triangle intersection. • Condition 1: point is on ray • Condition 2: point is on plane • Condition 3: point is on the inside of all three edges • First solve 1&2 (ray–plane intersection) – substitute and solve for t: 10. Cornell CS4620 Fall 2013 • Lecture 3 © …
Ray Tracing I: Ray-Shape Intersection
http://scroll.stanford.edu/courses/cs348b-03/lectures/rt-apr03.pdf
Classic Ray Tracing. cs348b Matt Pharr, Spring 2003 ... • Found a valid intersection Ray-Plane Intersection r(t) = O + t ! D (P ! P ) á N = 0 t ! [tmin, tmax) ... • Can make intersection tests faster, but renormalizing after transform is slow Various Details. cs348b Matt Pharr, Spring 2003
Ray Tracing: Rendering a Triangle (Ray-Triangle …
https://www.scratchapixel.com/lessons/3d-basic-rendering/ray-tracing-rendering-a-triangle/ray-triangle-intersection-geometric-solution
// compute d parameter using equation 2 float d = -N.dotProduct(v0); // compute t (equation 3) t = -(N.dotProduct(orig) + d) / NdotRayDirection; // check if the triangle is in behind the ray if (t 0) return false; // the triangle is behind // compute the intersection point using equation 1 Vec3f P = orig + t * dir; // Step 2: inside-outside test Vec3f C; // vector perpendicular to triangle's plane // …
CS-C3100 Computer Graphics 12.1 Ray Tracing: Intersections
https://users.aalto.fi/~lehtinj7/CS-C3100/2020/slides/12.1.ray.tracing.intersections.pdf
Ray-Plane Intersection • Intersection means both equations are satisfied • So, insert explicit equation of ray into implicit equation of plane & solve for t P(t) = R o + t * R d H(P) = n·P + D = 0 n·(R o + t * R d) + D = 0 t = -(D + n P(t) ·R o) / n·R d Done!
A Minimal Ray-Tracer: Rendering Simple Shapes (Sphere, …
https://www.scratchapixel.com/lessons/3d-basic-rendering/minimal-ray-tracer-rendering-simple-shapes/ray-sphere-intersection
bool intersect(const Ray &ray) const { float t0, t1; // solutions for t if the ray intersects #if 0 // geometric solution Vec3f L = center - orig; float tca = L.dotProduct(dir); // if (tca 0) return false; float d2 = L.dotProduct(L) - tca * tca; if (d2 > radius2) return false; float thc = sqrt(radius2 - d2); t0 = tca - thc; t1 = tca + thc; #else // analytic solution Vec3f L = orig - center; float a = …
Ray Tracing Algorithm - Virginia Tech
https://people.cs.vt.edu/yongcao/teaching/csx984/fall2011/documents/Lecture4_RayTracing_Algorithm.pdf
for each pixel on screen 1. determine ray from eye through pixel 2. find closest intersection of ray with an object 3. cast off reflected and refracted ray, recursively 4. calculate pixel color, draw pixel end. Ray Tracing Algorithm.
c++ - Ray tracing box intersections - Stack Overflow
https://stackoverflow.com/questions/8903356/ray-tracing-box-intersections
To ray-trace this you determine the ray/plane intersections and choose the nearest one. To determine if that point is within the face (remember, the plane is infinite) you check if the point is inside all the other planes. If not, test the next nearest intersection, and so on.
Precomputed fast rejection ray-triangle intersection
https://www.sciencedirect.com/science/article/pii/S2666629422000031
Further applications of ray-triangle intersection are ray tracing, inclusion tests, boolean operations, object modeling, and physics simulation [2], [3]. Triangles are considered as standard primitives in Computer Graphics and other representations (NURBS, F-rep…) are often triangulated before rendering.
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