\(
\newcommand{\P}[]{\unicode{xB6}}
\newcommand{\AA}[]{\unicode{x212B}}
\newcommand{\empty}[]{\emptyset}
\newcommand{\O}[]{\emptyset}
\newcommand{\Alpha}[]{Α}
\newcommand{\Beta}[]{Β}
\newcommand{\Epsilon}[]{Ε}
\newcommand{\Iota}[]{Ι}
\newcommand{\Kappa}[]{Κ}
\newcommand{\Rho}[]{Ρ}
\newcommand{\Tau}[]{Τ}
\newcommand{\Zeta}[]{Ζ}
\newcommand{\Mu}[]{\unicode{x039C}}
\newcommand{\Chi}[]{Χ}
\newcommand{\Eta}[]{\unicode{x0397}}
\newcommand{\Nu}[]{\unicode{x039D}}
\newcommand{\Omicron}[]{\unicode{x039F}}
\DeclareMathOperator{\sgn}{sgn}
\def\oiint{\mathop{\vcenter{\mathchoice{\huge\unicode{x222F}\,}{\unicode{x222F}}{\unicode{x222F}}{\unicode{x222F}}}\,}\nolimits}
\def\oiiint{\mathop{\vcenter{\mathchoice{\huge\unicode{x2230}\,}{\unicode{x2230}}{\unicode{x2230}}{\unicode{x2230}}}\,}\nolimits}
\)
Classnotes for CMSC740 taught by Matthias Zwicker
Acceleration
How to speed up intersection calculations during ray tracing.
Object Subdivision
Bounding volume hierarchy
- Create a tree where objects are placed together.
- Each node corresponds to a region covering all the objects it has
- You want to insert in some greedy way:
- Minimize the size of each region
- Subtrees may overlap and are unorder
Spacial Subdivision
Octtree, kd tree
Radiometry
Geometrical Optics
Wikipedia: Geometrical Optics
- Light are rays which reflect, refract, and scatter
Solid Angle
- Solid angle = area / radius^2 on a sphere
BRDF, Reflection Integral
Monte Carlo Integration