For the most part this page is used to distribute SageMath notebooks used to
illustrate key concepts. Students must during the course of the
semester download and actually run these notebooks. It is not enough
to passivly review them, it is essential to get into the examples,
make changes, and learn from interaction.
There are links to the 'dead' HTML output of notebooks below. This is
useful for a quick read through. However, to actually run the
notebook, you must download the IPYNB file and upload it to a SageMath
Jupyter Server. Server software is installed on the CS Department
Machines (instructions coming soon) and you may also download SageMath to
your own machine.
 Lecture 3 Notebook 1

Notebook cs410lec03n01
illustrates the dot product as a projection operator in 2D. In other
words, measuring the distance from the origin to a point in the
direction of a vector u.
Zipped IPYNB
Notebook File
 Lecture 3 Notebook 2

Notebook cs410lec03n02
builds upon the previous notebood carrying through to illustrate 2D
rotation as simply projection onto a pair of orthongonal unit length
basis vectors.
Zipped IPYNB
Notebook File
 Lecture 3 Notebook 3

Notebook cs410lec03n03
illustrates the composition of 2D rotation, translation and scaling
using 2D homogeneous transforms.
Zipped IPYNB
Notebook File
 Lecture 5 Notebook 1

Notebook cs410lec05n01
illustrates the construction of a three by three rotation matrix from
an axisangle specification.
Zipped IPYNB
Notebook File
 Lecture 6 Notebook 1

Notebook cs410lec06n01
illustrates the relative placement of a camera and a 3D model.
Zipped IPYNB
Notebook File
 Lecture 8 Notebook 1

Notebook cs410lec08n01
illustrates the enumeration of 3D rays from pixels.
Zipped IPYNB
Notebook File
 Lecture 9 Notebook 1

Notebook cs410lec09n01
illustrates how to find the intersection of two 2D parametric lines.
Zipped
IPYNB Notebook File
 Lecture 10 Notebook 1

Notebook cs410lec10n01
presents the linear algebraic symbolic solution to the ray triangle
intersection problem.
Zipped IPYNB
Notebook File
 Lecture 10 Notebook 2

Notebook cs410lec10n02
illustrates with 3D visualization examples of ray triangle
intersections.
Zipped IPYNB
Notebook File
 Lecture 13 Notebook 1

Notebook cs410lec13n01
illustrates the algebraic brute force solution to ray sphere
intersection
Zipped IPYNB
Notebook File
 Lecture 13 Notebook 2

Notebook cs410lec13n02
illustrates with 3D visualization examples of brute force ray sphere
intersection.
Zipped IPYNB
Notebook File
 Lecture 13 Notebook 3

Notebook cs410lec13n03
illustrates with 3D visualization the better and faster way to
compute ray sphere intersections.
Zipped IPYNB
Notebook File
 Lecture 14 Notebook 1

Notebook cs410lec14n01
provides complete ray casting example for one sphere. Includes
ambient, diffuse and specular illumination from multiple light
sources.
Zipped
IPYNB Notebook File
 Lecture 15 Notebook 1

Notebook cs410lec15n01
provides a recursive ray tracing example with three spheres and two
light sources.
Zipped IPYNB
Notebook File PDF
File. Also, there is a 2048 by 2048 rendering
from this notebook.
 Lecture 17 Notebook 1

Notebook cs410lec17n01
provides a complete illustration of the geometric transformation from
world coordinates to the Canonical View Volume.
Zipped IPYNB
Notebook File PDF
File.
 Lecture 19 Notebook 1

Notebook cs410lec19n01
highlights pseudodept calculation used to form the Canonical View
Volume.
Zipped
IPYNB Notebook File PDF File.
 Lecture 21 Notebook 1

Notebook cs410lec21n01
illustrates recursive ray tracing with refraction using 4 spheres.
Zipped IPYNB
Notebook File PDF
File. (last updated December 6, 2018)
 Lecture 21 Notebook 2

Notebook cs410lec21n02
illustrates recursive ray tracing with refraction using spheres orbiting a
central semitransparent sphere.
Zipped IPYNB
Notebook File PDF
File. (last updated December 6, 2018)
 Lecture 23 Notebook 1

Notebook cs410lec23n01
illustrates Bezier Curves.
Zipped IPYNB
Notebook File PDF
File.
 Lecture 24 Notebook 1

Notebook cs410lec24n01
illustrates Bezier Surface Patches.
Zipped IPYNB
Notebook File PDF
File.
 Lecture 24 Notebook 2

Notebook cs410lec24n02
illustrates BSpline curves.
Zipped IPYNB
Notebook File.