Class activities will be recorded here.

Please consider this a record of past progress and a plan for the time remaining.

Week 1 : August 19 - August 25

• Tuesday

  Introduction (pdf)
  Introduce basic course structure including what will be covered and what will be expected

  Thursday

  2D Geometry (pdf)
  A mix of familiar and sometimes neglected concepts needed to better understand 2D Geometry

Week 2 : August 26 - September 1

• Tuesday

  2D Transformations (pdf)
  Geometric transformations in 2D emphasizing dot product as projection onto basis vectors

  Thursday

  3D Transformations (pdf)
  Homogeneous Coordinates in 2D and 3D, 3D rotation traditional approach with Euler angles

Week 3 : September 2 - September 8

• Tuesday

  Axis Angle Rotation (pdf)
  Understanding axis angle rotation and how to build associated rotation matrix

  Thursday

  3D Transformations for a Camera (pdf)
  Placing a Camera in a World Coordinate System Tailored to Ray Tracing

Week 4 : September 9 - September 15

• Tuesday

  First introduction to 3D Models (pdf)
  A basic introduction to representing, viewing and manipulating 3D polygonal models, now with Blender
  List of 30 specifics covered in this lecture

  Thursday

  Ray Casting: Shooting Rays into A Scene (pdf)
  Generating Rays from Pixels and also understanding viewing geometry

Week 5 : September 16 - September 22

• Tuesday

  Intersection of Parametric Forms (pdf)
  Parametric forms illustrated with line segments including interesection calculation

  Thursday

  Ray Triangle Intersection (pdf)
  Rays from pixels intersecting triangles

Week 6 : September 23 - September 29

• Tuesday

  Color Beyond Basics (pdf)
  Color Spaces and and encodings including alpha blending

  Thursday

  Introduction to Illumination (pdf)
  Introduction to illumination including ambient, difffuse and specular

Week 7 : September 30 - October 6

• Tuesday

  Midterm Review (pdf)
  Review session in preparation guided by recent quizzes, attached review sheets, and student questions

  Thursday

  Midterm 1

Week 8 : October 7 - October 13

• Tuesday

  Ray Sphere Intersection (pdf)
  Brute force general approach along with a clever faster ray sphere intersection algorithm

  Thursday

  SageMath Illumination Illustrations (pdf)
  Raycasting to illuminate a sphere with two light sources: connecting renderings to controls

Week 9 : October 14 - October 20

• Tuesday

  Recursive Ray Tracing (pdf)
  Extending our understanding of ray tracing by allowing objects to reflect on each other.

  Thursday

  Perspective Projection (pdf)
  The pin hole camera model introduced without ray tracing at the heart

Week 10 : October 21 - October 27

• Tuesday

  Projection Pipeline (pdf)
  The Perspective Projection Pipeline including SageMath full implementation with Canonical View Volume

  Thursday

  Clipping and Rasterization (pdf)
  From canonical view volume vertices to rendered pixels.

Week 11 : October 28 - November 3

• Tuesday

  Rendering with a Z-buffer (pdf)
  Using pseudo-depth to implement hidden surface removal

  Thursday

  Rendering with Shading (pdf)
  Shading models both for the projection pipeline and also for smoothing ray traced objects

Week 12 : November 4 - November 10

• Tuesday

  Midterm 2 Review (pdf)
  Today's lecture will be a student initiated review

  Thursday

  Midterm 2

Week 13 : November 11 - November 17

• Tuesday

  Recursive Ray Tracing with Refraction (pdf)
  The last big idea of the semester for lighting is semi-transparent objects

  Thursday

  Reflection and Refraction
  A more code centric workup on reflection plus refraction

Week 14 : November 18 - November 24

• Tuesday

  Thanksgiving Break

  Thursday

  Thanksgiving Break

Week 15 : November 25 - December 1

• Tuesday

  Texture Mapping (pdf)
  Applying images to surface to enhance visual realism

  Thursday

  Hermite and Bezier Curves (pdf)
  An introduction to bicubic curves starting with Hermite and moving to Bezier

Week 16 : December 2 - December 8

• Tuesday

  Bicubic Surfaces and B-Splines (pdf)
  From parametric curves to surfaces, the Bezier Surface Patch, then onto B-splines

  Thursday

  Review in Advance of the Final Exam (pdf)
  Comprehensive semester review. Likely to emphasize last third of the semester in this review but do not forget topics from earlier
  Here again is the review sheet for the first 1/3 of the semester
  Here again is the review sheet for the second 1/3 of the semester

Week 17 : December 10th

• Monday

  Final Exam from 6:20 to 8:20 PM