For the moment this page is being used to keep track of some of the
more important Sage Notebooks developed this semester.
- Perspective Projection Pipeline
Sage notebook covering the 3D perpsective projection pipeline mapping
from world to camera coordinates. [sws file
Sage notebook covering the 3D geometry of ray casting. [sws file download]
- Lighting a Sphere
Illustration of Illumination using a Sphere and Two Lights. [sws file download]
- Reflection and Spheres. (Last Update 11/15/16)
Illustration of three spheres with multiple recursive levels of
reflection. [sws file
Math Cloud Here also is an example
image from this Notebook.
- Refraction, and reflection, with Spheres
There are two examples showing both refraction and reflection through
a scene consisting of multiple spheres. These two notebooks are also
the most up-to-date and refined complete examples of recursive ray
tracing being presented ind CS410. All students should review these
carefully as a way to wrap up the semester, synthesize much of what
has been presented, and of course in preparation for the final exam.
file with two sws files] [Sage
Math Cloud Scene 01] [Sage
Math Cloud Scene 02] [Page with example
- Bezier Curves
Here is a Notebook showing the basic mathematics behind a Bezier
Curve Segment in 3D. This Notebook includes several examples in both
2D and 3D. [sws
file download] [Sage
- Bezier Surface Patch
- Here is a Notebood showing the mathematics and examples of a Bezier Surface Patch.
[sws file download]
[Sage Math Cloud]