Discussion 7

Bullets

• Global illumination & path tracing
  • (By course definition:) ray tracing vs. path tracing
• Russian Roulette
• Unbiased random termination
  $X_{rr} = \frac{X}{p_{rr}}$ with probability $p_{rr}$
• Material modeling
  • BRDF
    • Bidirectional reflectance distribution function ($f_r$)
    • $L_r(p, \omega_r) = \int_{H^2} f_r(p, \omega_i \rightarrow \omega_r) L_i(p, \omega_i) \cos(\theta_i) d\omega_i$
    • Light transport operators
  • Diffuse/Lambertian material
  • Glossy material
  • Ideal reflective/refractive material
  • Fresnel term (due to gazing angle)
  • Microfacet
    $f(i, o) = \frac{F(i, h) G(i, o, h) D(h)}{4 (n \cdot i) (n \cdot o)}$
  • Properties of BSDF
    • Non-negativity
    • Linearity
    • Reciprocity
    • Energy conservation
    • Isotropic vs. anisotropic

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🖍 Review section for midterm