Tuesday, August 16, 2022 • 4:40 EDT
Graphists, animators, game programmers, font designers, and other graphics professionals and enthusiasts are often working with Bézier curves. Most people are first confronted with Bézier curves through an UI that may look like this: In this case the curve is composed of 4 user controllable points, meaning it's a Cubic Bézier. I'm voluntarily omitting a lot of technical details here, such as the root finding algorithm and floating point inaccuracies challenges: the point is to illustrate how the 1D deconstruction is essential in understanding and manipulating Bézier curves. The presence of this function in the 1st degree is not just a coincidence: the function is actually the corner stone of all the Bézier curves. A fundamental problem of text rendering is figuring out whether a given pixel lands inside or outside the character shape (which is composed of a chain of Bézier curves). Indeed, we can build up the Bézier formulas using exclusively nested : This way of formulating the curves is basically De Casteljau's algorithm. But can you tell for sure what their respective curves actually look like precisely? Well, with an horizontal ray, we would have to know when the y-coordinate of the curve is the same as the y-coordinate of , so we first have to solve , or , where is the component of the given Bézier curve . (blog.pkh.me). Continue reading.
The internet has shown us that Doom can run on everything from a cardboard box to a Roomba and even a single keyboard key, but now we can add a John Deere tractor to that list.
What you might have missed at Black Hat and Def Con 2022 These are the best talks from the annual hacker gatherings Hackers, researchers, cybersecurity companies and government officials descended on Las Vegas last week for Black Hat and Def Con, a cybersecurity double-bill that’s collectively referred to as “hacker summer camp.” This year’s cyber gathering was particularly exciting: Not only did it mark Black Hat’s 25th anniversary, but also the first time since the start of the pandemic that attendees have fully returned to the carpeted hallways of the popular security conferences.
 A specific application of the preparedness paradox is the "levee paradox".