For the most part this page will be used to convey links to SageMath
notebooks.
 Lecture 2 Notebook 1

This notebook 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.
SageMath
Cloud, Zipped
IPYNB Notebook File
 Lecture 3 Notebook 1

This notebook shows the interpretation of rotation in 2D as a change
in basis vectors. In other words, NO trigonometry.
SageMath
Cloud, Zipped
IPYNB Notebook File
 Lecture 3 Notebook 2

This notebook is a general playpen for experimenting with 2D
rotations, translations and scaling.
SageMath
Cloud, Zipped
IPYNB Notebook File
 Lecture 5 Notebook 1

This notebook gives a complete development of how to create a
standard 3x3 rotation matrix given an axisangle rotation
specfication. It includes a 3D visualization.
Zipped IPYNB
Notebook File
 Lecture 6 Notebook 1

This notebook gives a complete development of the 3D viewing volume
when a camera is placed into world coordinates.
Zipped IBYNB
Notebook File
Zipped Sage
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 Lecture 7 Notebook 1

This notebook builds upon the previous and shows how rays for ray
tracing are generated from a camera specification.
Zipped IBYNB
Notebook File
Zipped Sage
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 Lecture 8 Notebook 1

This notebook illustrates how to compute the intersection between
parametric obects, in this case 2D lines segments. Understanding the
process illustrated here is a precursor to understanding how to find
the intersections between 3D objects and 3D rays.
Zipped IBYNB
Notebook File
 Lecture 9 Notebook 1

This notebook presents a clean way to compute the interesection
between a ray and a triangle. It works out the mathematics in
symbolic format including the application of Cramers Rule to solve
directly for the three key parameters.
Zipped IBYNB
Notebook File
 Lecture 9 Notebook 2

This notebook illustrates for worked examples how the ray triangle
intersection algorithm works.
Zipped IBYNB
Notebook File
 Lecture 10 Notebook 1

This notebook presents the general, brute force, solution to ray
sphere intersection.
Zipped IBYNB
Notebook File
 Lecture 10 Notebook 2

This notebook illustrates with a 3D illustration the brute force
solution to ray sphere intersection.
Zipped IBYNB
Notebook File
 Lecture 10 Notebook 3

This notebook presents and illustrates with a 3D illustration a
clever and fast algorithm for computing the intersection between a
ray and a sphere.
Zipped IBYNB
Notebook File
Zipped Sage
Workbook File
 Lecture 13 Notebook 1

This notebook presents a complete illumination example using ray
casting and a single sphere.
Zipped IBYNB
Notebook File
 Lecture 17 Notebook 1

This notebook presents a complete example of the perspective
projection pipleline, i.e. the standard sequence of gemetric
transformation used to take vertices of polygons from 3D world
coordinates into the cannonical view volume.
Zipped IBYNB
Notebook File
Zipped Sage
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 Lecture 18 Notebook 1

This notebook presents a complete example of recursive ray tracing
with three spheres and two light sources.
Zipped IBYNB
Notebook File
Zipped Sage
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 Lecture 19 Notebook 1

This notebook is similar to the one released with lecture 18. It does
however contain at least one minor bug fix and also some code
cleanup.
Zipped
IBYNB Notebook File
Zipped Sage
Workbook File
 Lecture 20 Notebook 1

This notebook illustrates a bug that was present in some of the early
notebook immplementations of specular reflection. In particular, it
shows the important of testing for a reflection ray approaching
antiparallel with the direction to the camera.
Zipped IBYNB
Notebook File
 Lecture 20 Notebook 2

This illumination and recursive notebook illustrates how to control
the reflectivity of a material.
Zipped IBYNB
Notebook File
Zipped Sage
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 Lecture 22 Notebooks 1 and 2 and highres image

This notebook includes all that has come before in terms of rendering
and adds refraction through spheres. There are two version which
differ terms of the scene generated. Please note these replace
similar notebooks previously released with lecture 21.
Zipped IBYNB
Notebook File 1
Zipped IBYNB
Notebook File 2
A
4096 rendering from the second notebook.
 Lecture 23 Notebook 1

This notebook includes a full workup of bezier curves in 3D.
Zipped IBYNB
Notebook File 1
 Lecture 24 Notebook 1

This notebook fully develops and illustrates a 3D Bezier Surface
Patch. The notebook includes three examples.
Zipped IBYNB
Notebook File
Zipped Sage
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 Quiz 3 Notebooks

These two notebooks are necessary for successfully taking Quiz 3.
Zipped IBYNB
Notebook 1 File
Zipped IBYNB
Notebook 2 File
 Quiz 3 Notebooks

These three notebooks may be helpful when preparing for and taking
Quiz 4.
Zipped
IBYNB Notebook 1 File
Zipped IBYNB
Notebook 2 File
Zipped IBYNB
Notebook 3 File