Users must set window sizes and location by pixel length and width, as well as screen location. The program's menus are easy to navigate, but actually setting window size is complicated. There are no user instructions or technical support available. While the download completed quickly, the program required us to activate certain assisting features in the control panel before startup. The free trial version of the program works for 15 days and purchasing a full license requires a $19.95 payment. Window Magician for Mac enables windows to be locked, but its lack of instructions and complicated steps make it hard to operate. I know what you're thinking.Those working with multiple programs simultaneously may become frustrated if those windows change location and size each time they are used. If you use my code to make your own Magic Windows, I'd love to see them! I'm on Twitter at Email me at and I will gladly help if you get stuck! One Last Thing The cat in this post is named Mitski and she approves of you using her image as the new standard reference image for image processing papers. I only ask that if you make something, please show me!Įxcept where otherwise attributed, all images in this blog post and the blog post itself are my own work that I license as CC-BY. Please feel free to use this code for anything you want, including hobbyist, educational, and commercial uses. I've posted all my code under the MIT license. If you want to build a business off of this code you should probably hire someone who knows how to program professionally in Julia. In short: To me this code is a fun side project. The original paper suggests a better way of calculating loss but I didn't implement it because the naive way was easier, yet I rolled my own mesh utilities and Poisson solver because I enjoyed the challenge. My units and notation are inconsistent throughout. I have extra negative signs that I inserted that make the code work but I don't know why. I am a novice at programming in Julia so if you have suggestions for how to improve this code, please reach out or make a pull request!Ĭaveats: There are a lot of issues with my code. If you continue this work in some way, please cite them. But the slope of the glass, \frac whose divergence equals the loss:Īll of the math for this post came from Poisson-Based Continuous Surface Generation for Goal-Based Caustics, a phenomenal 2014 paper by Yue et al. In other words, the height of the glass h(x) is not on its own important. Whether two rays converge or diverge is controlled by how curved the lens is where the glass meets the air.The angle between the incoming light rays and the glass-air boundary has a strong effect on the refracted ray angle.The first transition, from air to glass, can be entirely ignored. We could add material to the left side of this lens and nothing would change. The overall thickness of the lens does not have a direct impact on the outgoing ray angle.Zooming in on one small section of the lens we notice a few properties: The caustic image from this lens is dark everywhere with one very bright spot in the center. If all the incoming light is from a single, very distant light source like the Sun, this lens focuses all of its incoming light into a single point. This lens forms the simplest possible caustic.
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