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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 Ray Tracing
https://www.cs.cornell.edu/courses/cs4620/2013fa/lectures/22mcrt.pdf
Monte Carlo integration • How to integrate a function we don’t know much about? – we can only evaluate it by tracing rays – reasoning about how light changes from one ray to the next is tricky • Idea: evaluate at a random place and call use that sampleto make an estimateof the average value (and thereby integral) of the function 26 t 0t t 1
Monte Carlo method - Wikipedia
https://en.wikipedia.org/wiki/Monte_Carlo_method
Ray Tracing :: Ocean Optics Web Book
https://www.oceanopticsbook.info/view/monte-carlo-simulation/ray-tracing
To illustrate the results obtained for different ways of tracking rays, a Monte Carlo code was written to simulate the energy received by an annular target as illustrated in Figs. 1 and 2.
GPU-based Monte Carlo ray tracing simulation …
https://www.sciencedirect.com/science/article/pii/S096014812200619X
Experiments and simulations reveal that refraction has non-negligible effects on the simulation results. 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.
Monte-Carlo Ray-Tracing for Realistic Interactive Ultrasound …
https://people.ee.ethz.ch/~ogoksel/pre/Mattausch_monte-carlo_16pre.pdf
In this paper we introduce Monte-Carlo ray-tracing for ultrasound. This enables the realistic simulation of ultrasound interactions such as soft shadows and fuzzy reflections. We discuss how to properly weight the contribution of each ray path in order to simulate the behavior of a beamformed ultrasound signal.
Monte Carlo Path Tracing
http://www.graphics.stanford.edu/courses/cs348b-01/course29.hanrahan.pdf
Solving this equation in the main goal of Monte Carlo Path Tracing. The rendering equation is sometimes written more compactly in operator form. An operator is a method for mapping a function to another function. In our case, the function is the radiance. L= L e+ K L 4
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