Index | Problem
Statement | Polygonal Regions |
Bounded Smooth Regions | The
Three Dimensional Case |

Links to related topics | Glossary
| References

##
Glossary

**Angle of Incidence:
**The
angle that an incoming ray makes with the interior normal of the surface
of relection.

In three dimension, the angle of incidence, the angle of reflection
and the normal are co-planar.
**Angle of
Reflection:** The angle that a reflected ray makes with the interior
normal of the surface of relection.

In three dimension, the angle of incidence, the angle of reflection
and the normal are co-planar.

**Illuminated
Region: **Let G be a connected and bounded region. G is illuminated
from a point p if for every point q that belong to G, there is a ray containing
both p and q.

**Directly
Illuminated Region:** Let G be a connected and bounded smooth
region. G is directly illuminated from a point p if for every point
q that belong to G, there the line segment pq lies in G.

**ray: **Given a region
G c R^{2}. A ray is a piecewise linear path with corners
lying on a point p at the boundary of G respecting the usual law of reflection
with the tangent line at p. Given a region H c R^{3}, the ray behaves
as in R^{2} with the tangent plane. Further, the incident and reflected
portion of a ray are coplanar with the surface normal at p.

**Smooth Region:**
We define a smooth bounded region G c R^{2 }such that the partial
derivative of G has continuously turning tangent and G lies on one side
of its boudary.

Index | Problem
Statement | Polygonal Regions |
Bounded Smooth Regions | The
Three Dimensional Case |

Links to related topics | Glossary
| References