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19_montecarlo - MIT 6.837 Monte-Carlo Ray Tracing MIT EECS...

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MIT EECS 6.837, Cutler and Durand 1 MIT 6.837 Monte-Carlo Ray Tracing
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MIT EECS 6.837, Cutler and Durand 2 Schedule Review Session: Tuesday November 18 th , 7:30 pm bring lots of questions! Quiz 2: Thursday November 20 th , in class (one weeks from today)
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MIT EECS 6.837, Cutler and Durand 3 Review of last week?
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MIT EECS 6.837, Cutler and Durand 4 Radiosity Form-factor between patches Geometry and visibility Big Matrix system Diffuse surfaces Subdivide scene Radiosity assumed constant over a patch
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MIT EECS 6.837, Cutler and Durand 5 Radiosity Smoothing and other gimmicks
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MIT EECS 6.837, Cutler and Durand 6 Limitations of radiosity Diffuse only for basic method – Costly extension to specular Requires meshing Cost of visibility computation – If you send rays, why not use ray tracing? Memory consumption vs. time scalability
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MIT EECS 6.837, Cutler and Durand 7 Why still learn radiosity? Still used in architecture (Lightscape) Introduction to finite element method Project the problem onto a finite basis of functions In the case of radiosity: piecewise constant Express interaction between elements Get a big matrix system Same as deformable object simulation Pre-computed radiance transfer: same strategy Use finite basis function Precompute lighting as a function of primary sources Use in a simplified version in Max Payne 2
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MIT EECS 6.837, Cutler and Durand 8 Today: Monte Carlo Ray Tracing Principle of Monte-Carlo Ray Tracing Monte Carlo integration Review of Rendering equation Advanced Monte Carlo Ray Tracing
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MIT EECS 6.837, Cutler and Durand 9 Probabilistic Soft Shadows Multiple shadow rays to sample area light source Monte-Carlo ray tracing generalizes this one shadow ray lots of shadow rays
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MIT EECS 6.837, Cutler and Durand 10 Ray Casting Cast a ray from the eye through each pixel
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MIT EECS 6.837, Cutler and Durand 11 Ray Tracing Cast a ray from the eye through each pixel Trace secondary rays (light, reflection, refraction)
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MIT EECS 6.837, Cutler and Durand 12 Monte-Carlo Ray Tracing Cast a ray from the eye through each pixel Cast random rays from the visible point Accumulate radiance contribution
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MIT EECS 6.837, Cutler and Durand 13 Monte-Carlo Ray Tracing Cast a ray from the eye through each pixel Cast random rays from the visible point • Recurse
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MIT EECS 6.837, Cutler and Durand 14 Monte-Carlo Cast a ray from the eye through each pixel Cast random rays from the visible point • Recurse
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MIT EECS 6.837, Cutler and Durand 15 Monte-Carlo Systematically sample primary light
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