/en/tags/convolution/Recent content in Convolution on Feynman's BlogHugoen-USSun, 16 Aug 2026 12:00:00 +0800/en/posts/games101-rasterization/Sun, 16 Aug 2026 12:00:00 +0800/en/posts/games101-rasterization/<blockquote class="blockquote-regular"> <p>Instructor: Lingqi Yan | UCSB Bilibili: <a href="https://www.bilibili.com/video/BV1X7411F744">https://www.bilibili.com/video/BV1X7411F744</a></p> </blockquote> <p>Rasterization is the process of converting vector graphics (geometric descriptions) into pixel images (raster images).</p> <p>Rasterization = drawing continuous geometry as discrete pixels. It is the foundational technique of real-time rendering.</p> <blockquote class="blockquote-regular"> <p>This chapter corresponds to lectures 5-6 (the depth buffer part corresponds to the start of lecture 7).</p> <ul> <li><a href="https://sites.cs.ucsb.edu/~lingqi/teaching/resources/GAMES101_Lecture_05.pdf">Lecture 05 slides (PDF)</a></li> <li><a href="https://sites.cs.ucsb.edu/~lingqi/teaching/resources/GAMES101_Lecture_06.pdf">Lecture 06 slides (PDF)</a></li> <li><a href="https://www.bilibili.com/video/BV1X7411F744">Bilibili video</a></li> </ul> </blockquote> <h2 id="1-perspective-projection-wrap-up-fovy-and-aspect-ratio">1 Perspective Projection Wrap-Up: fovY and Aspect Ratio</h2> <p>In the MVP transform, the perspective projection frustum is defined by $l, r, b, t$ (left, right, bottom, top bounds of the near clip plane), but in practice developers prefer <strong>vertical field of view (fovY)</strong> and <strong>aspect ratio</strong> (assuming symmetry, i.e. $l = -r$, $b = -t$):</p>