Linear Algebra for Graphics Programming


This post will cover the essential mathematics for doing 3D graphics programming. I chose to split it out into a separate post because there is quite a lot of ground to cover, and attempting to wedge all of these concepts into a tutorial post would be overwhelming. If you already have a grasp of this material, this post is largely optional, but it does establish the notational and geometric conventions I use elsewhere.

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The Whats and Wherefores of Metal

The previous two posts covered many of the nitty-gritty details of Metal, but I wanted to take a step back and put Metal in context. Not only are future posts going to require more work — more math, more figures, more code, deeper examples — I feel it may be necessary to explain the motivation behind this blog. This post is about what I think Metal is and can be, and why I’m so interested in helping others learn about it.

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Up and Running with Metal, Part 2: Drawing Triangles

In our inaugural post of the series, we got a glimpse of many of the essential moving parts of the Metal framework: devices, textures, command buffers, and command queues. Although that post was long, it couldn’t possibly cover all these things in detail. This post will add a little more depth to the discussion of the parts of Metal that are used when rendering geometry. In particular, we’ll take a trip through the Metal rendering pipeline, introduce functions and libraries, and issue our first draw calls.

The end goal of this post is to show you how to start rendering actual geometry with Metal. The triangles we draw will only be in 2D. Future posts will introduce the math necessary to draw 3D shapes and eventually animate 3D models.

Download the sample code for this post here.

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Up and Running with Metal, Part 1: Clearing the Screen

This post covers the bare minimum needed to clear the screen to a solid color in Metal. Even this simple operation requires many of the concepts exposed by the Metal framework. The next few posts in the Up and Running series will build on what we discuss here and take us through the basics of 3D rendering and image processing.

You can download the sample project for this post here.

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