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Monte-Carlo Ray Tracing : Path Tracing
https://www.inf.ed.ac.uk/teaching/courses/cg/lectures/lect11.pdf#:~:text=Monte-Carlo%20Ray%20Tracing%20Photon%20Mapping%20Photon%20Mapping%20A,information%20of%20reflection%20in%20the%20%E2%80%9Cphoton%20map%E2%80%9D%2C%20then
Monte Carlo Ray Tracing - Princeton University
https://www.cs.princeton.edu/courses/archive/fall10/cos526/papers/jensen03.pdf
Recent advances in algorithms and available compute power have made Monte Carlo ray tracing based methods widely used for simulating global illumination. This course will review the fundamentals of Monte Carlo methods, and provide a detailed description of the theory behind the latest tech- niques and algorithms used in realistic image synthesis.
Monte Carlo method - Wikipedia
https://en.wikipedia.org/wiki/Monte_Carlo_method
Monte Carlo and ray tracing algorithms in the cyberknife …
https://pubmed.ncbi.nlm.nih.gov/29296347/
Chapter 38: Monte Carlo Ray Tracing - Graphics …
https://graphicscompendium.com/raytracing/19-monte-carlo
Evaluation of ray tracing and Monte Carlo algorithms in …
https://pubmed.ncbi.nlm.nih.gov/29296387/
While Monte Carlo (MC) calculation methods are the most accurate, Ray Tracing (RT) methods are also commonly employed. We evaluated dose calculation differences between the RT and MC algorithms in central and peripheral lung tumors treated with CyberKnife SBRT to determine which planning parameters may predict dose differences.
Monte Carlo Ray Tracing
https://www.cs.cornell.edu/courses/cs4620/2013fa/lectures/22mcrt.pdf
Monte Carlo in rendering • Motion blur: select random t in the shutter interval • Depth of field: select random p uniformly over the aperture D • Area light: select source point y uniformly over the light source S 29 g(t)=L(p, d(x),t) |t 1 t 0 | g(p)=L(p, d(x, p)) |D| g(y)= I cos (y) r(y)2 |S|
Monte-Carlo Ray Tracing : Path Tracing
https://www.inf.ed.ac.uk/teaching/courses/cg/lectures/lect11.pdf
Monte-Carlo Ray Tracing Photon Mapping Photon Mapping A fast, global illumination algorithm based on Monte-Carlo method 1. Casting photons from the light source, and 2. saving the information of reflection in the “photon map”, then 3. render the results A stochastic approach that estimates the radiance from limited number of samples
Monte Carlo Path Tracing
http://www.graphics.stanford.edu/courses/cs348b-01/course29.hanrahan.pdf
makes Monte Carlo the method of choice for solving the rendering equation. There is one more useful theoretical and practical step, and that is to relate the solution of the rendering equation to the process of image formation in the camera. The equation that governs this process is the Measurement Equation M= Z A Z Z T R(~x;!~;t)L(~x;!~;t)dtd!dA:
GPU-based Monte Carlo ray tracing simulation …
https://www.sciencedirect.com/science/article/pii/S096014812200619X
According to the states of the initial rays, three MCRT methods are available: forward ray-tracing, backward ray-tracing and bidirectional ray-tracing. In the forward ray-tracing method, the rays are generated from the sun, reflected by the heliostat and finally hit the receiver.
THE MONTE CARLO RAY-TRACE METHOD IN …
https://onlinelibrary.wiley.com/doi/pdf/10.1002/9781119518471.fmatter
1 Fundamentals of Ray Tracing 1 1.1 RaysandRaySegments 1 1.2 TheEnclosure 2 1.3 MathematicalPreliminaries 2 1.4 IdealModelsforEmission,Reflection,andAbsorption ofRays 11 1.5 ScatteringandRefraction 17 1.6 MeshingandIndexing 18 Problems 21 Reference 28 2 Fundamentals of Thermal Radiation 29 2.1 ThermalRadiation 29 2.2 Terminology 31
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