teaching machines

CS 488: Lecture 9 – Trackball

Dear students: Computer graphics is not just about rendering. The user must be able to interact with the scene in ways that feel natural. Today we investigate a way of letting the user spin around an object of focus using the mouse. Rotation Around Axis We’ve worked out how to rotate an object around the […]

CS 488: Lecture 8 – Normal Generation

Dear students: Shading is dependent on normals. So far, we’ve limited ourselves to shapes whose normals can be computed with a little trigonometry. What do we do when our models start getting less algorithmic? We need a different strategy for computing normals of arbitrary triangle meshes. That strategy is our focus today. Cross Product The […]

CS 488: Lab 5 – Torus

Welcome to lab, which is a place where you and your peers complete exercises designed to help you learn the ideas discussed in the preceding lectures. It is intended to be a time where you encounter holes in your understanding and talk out loud with your peers and instructor. Your instructor will bounce around between […]

CS 430: Lecture 4 – Types

Dear students, You know how in English nouns and verbs are independent? You can pick any noun and mix it with any nearly any verb to for a grammatical sentence. Butter dances. Fish sneeze. We have a similar situation in programming languages. The grammars of our languages allow us to mix data and operations in […]

CS 488: Lecture 7 – Geometric Modeling

Dear students: Our goal today is to generate a few models using code. The algorithmic description of shapes is sometimes called geometric modeling. Not all models can be easily generated via algorithms, and we are likely to build most of our models in a 3D modeling program rather than in code. However, programmatically generating shapes […]

CS 488: Lab 4 – Lit Cube

Welcome to lab, which is a place where you and your peers complete exercises designed to help you learn the ideas discussed in the preceding lectures. It is intended to be a time where you encounter holes in your understanding and talk out loud with your peers and instructor. Your instructor will bounce around between […]

CS 488: Lecture 6 – Lit Sphere

Dear students: Our goal today is to add lighting to our renderer. To make this work, we need a new mathematical tool: the vector. First, we take a tour through a handful of operations that we’ll need to work with vectors. Second, we’ll apply these operations to compute the “litness” of every fragment on the […]

CS 488: Lab 3 – Rotating Tetrahedron

Welcome to lab, which is a place where you and your peers complete exercises designed to help you learn the ideas discussed in the preceding lectures. It is intended to be a time where you encounter holes in your understanding and talk out loud with your peers and instructor. Your instructor will bounce around between […]

CS 488: Lecture 5 – The Third Dimension

Dear students: Our goal today is to render a rotating cube. No more flat geometry—we’re going to the third dimension! A few new concerns arise as we get more and more triangles in our scenes. We will overcome them with the power of our graphics API. Indexed Triangles In most of our computer games, triangles […]

CS 430: Lecture 3 – Variables

Dear students, Computer science has its roots in mathematics. It was the mathematicians who first had problems they wanted to mechanize. Computer science soon grew into a discipline of its own that appeals to people who don’t like mathematics. My hot take is that there’s one big reason for its success: computer science has more […]

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