Contemplating a “coefficient of translucency” that
determines how much of a translucent material’s color gets
added to a ray passing through that material
Snell’s Law (n1 / n2 =
sinΘ2 / sinΘ1) for refraction
Main emphasis is refraction
General Implicit Surfaces: Carolyn Engelhardt
Basic goal is to understand the math behind a general way to
intersect rays with implicit surfaces
Envisions a function that can take some description of an
implicit function and maybe restrictions on its parameters
and generate the corresponding surface
May also consider combining several simpler surfaces
Canonical Triangles: Mike Weber
Starting with the canonical-to-world transformation for triangles
developed in class
Requirements for making the transformation invertible, and the
actual calculation of the inverse, are simplified by realizing
that the requirement for an invertible transformation is that
the dot product of the normal to the triangle with the
3rd column of the transformation matrix has to be non-0
This can be done by setting only one of the coefficients in
that column to 1 and the others to 0, leading to fairly simple
forms for the inverse
Working on comparing running times of this to those of a
standard triangle implementation. GREAT Day talk.
Parametric Surfaces: Samantha Sherman
Studying math and algorithms for intersecting rays with
parametric surfaces
Parametric surfaces are interesting because they allow you to
describe a great variety of shapes
Paper by Toth seems a promising source of an algorithm