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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
https://www.cs.rit.edu/~jmg/courses/cgII/20041/slides/7-1-rayTracingIntersect.pdf
• Test ray intersection with region volume Ray Tracing - Octrees • Recursively subdivide volume into equal regions. • If subregion is empty or contains a single object, then stop • Otherwise, further subdivide. • Continue until each subregion is empty or contains a single object. Ray Tracing - Octrees [Foley/Van Dam]
Ray Tracing (Intersection)
https://www.cs.cornell.edu/courses/cs4620/2015fa/lectures/06rtintersectWeb.pdf
Intersection against many shapes intersect (ray, tMin, tMax) { tBest = +inf; firstSurface = null; for surface in surfaceList { bool didhit = surface.intersect(hit, ray, tMin, tBest); if didhit { tBest = hit.t; firstSurface = hit.Surface; } } return firstSurface, tBest; } • The basic idea is: – this is linear in the number of shapes
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 • Z-buffer: • For each shape • Find pixels where it is visible, test z, shade • Ray casting: ... • Found a valid intersection Ray-Plane Intersection r(t) = O + t ! D (P ! P ) á N = 0 t ! [tmin, tmax) cs348b Matt Pharr, Spring 2003
Ray Tracing: intersection and shading
https://www.cs.cornell.edu/courses/cs4620/2013fa/lectures/03raytracing1.pdf
Ray Tracing: intersection and shading CS 4620 Lecture 3 1. ... Ray-sphere intersection: algebraic • Solution for t by quadratic formula: – simpler form holds when d is a unit vector but we won’t assume this in practice (reason later) ... Inside-edge test • Need outside vs. inside
Ray-Box Intersection - Scratchapixel
https://www.scratchapixel.com/lessons/3d-basic-rendering/minimal-ray-tracer-rendering-simple-shapes/ray-box-intersection
When the ray direction is -0, the inverse value of the direction's component will be set to -INF and the test if (invdir.x >= 0) will now return false as desired. In the eventuality of testing the intersection of the ray against many boxes, we can save some time by pre-computing the inverse direction of the ray in the ray's constructor and re-using it later in the intersect function.
Ray Tracing Basics
https://web.cse.ohio-state.edu/~shen.94/681/Site/Slides_files/basic_algo.pdf
Ray-Box Intersection Test 1. Intersect the ray with each plane 2. Sort the intersections 3. Choose intersection with the smallest t > 0 that is within the range of the box • We can do more X = x1 X = x2 Y = y2 Y = y1 Z = z1 Z = z2
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! 10 Ray-Plane Intersection
A Ray-Box Intersection Algorithm
https://www.jcgt.org/published/0007/03/04/paper-lowres.pdf
Ef・…ient slab test for a ray intersecting the AABB with corners p0and p1repre- sentative of BVH traversal in the NVIDIA OptiX and Intel Embree triangle ray tracing APIs. closed(e.g.,underground)voxelgenerateszerotrianglesandoneexposedononeface (e.g., within a wall) generates two triangles.
Möller–Trumbore intersection algorithm - Wikipedia
https://en.wikipedia.org/wiki/M%C3%B6ller%E2%80%93Trumbore_intersection_algorithm
The Möller–Trumbore ray-triangle intersection algorithm, named after its inventors Tomas Möller and Ben Trumbore, is a fast method for calculating the intersection of a ray and a triangle in three dimensions without needing precomputation of the plane equation of the plane containing the triangle. Among other uses, it can be used in computer graphics to implement ray tracing …
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