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Miolith
Registrace 12. 11. 2023
Humbly sharing my immeasurable knowledge of computer graphics and other software related stuff.
Quick Understanding of Homogeneous Coordinates for Computer Graphics
Graphics programming has this intriguing concept of 4D vectors used to represent 3D objects, how indispensable could it be so that every 3D graphics API force it on its users ?
zhlédnutí: 15 622
Best and most concise explanation I’ve seen yet 🙏
great stuff! Thanks!
Crazy quality and explaination for a video of a channel with 497 subscribers (well 498 now). Good job :D
You failed to explain why it is required. But everything else is great.
Am i the only one questioning why we even use matrices? Is it purely for visualizing the math?
They’re an amazing condensing tool for representing information. You simply need to practice with them versus trying to handle entire systems of equations and you will very quickly see what I mean. Especially when it comes to tensor manipulation and Einstein summation notation. So TLDR, yes, but not without merit. Matrices are not intuitive at first.
So, you could work without them but it'd get really tedious
Excellent communication.
Thank you so much. I was not making headway understanding homogeneous coordinates either by my professor's lecture or readings. Everything is clear after watching this video.
best video on homogeneous coordinartes
Excellent!
it resembles a LOT the Denavit-Hartenberg projection used in robotics
The 3blue1brown of computer graphics. Looking forward to more!
Wow. This video is very, very good.
this things are weird at first but the more you work on them the more sense they make to you
Awesome explanation. Thank you!
Wonderful
Lol i've seen it on roblox and it took me a while to figure it out. I thought the roblox devs who made the engine were genious of thinking it but as it turns out it is a known thing
great video
Great video, thanks a lot.
After seeing many videos here on CZcams, I finally understood Homogeneous Coordinates and Projection Matrix thanks to you
Great work! Keep it up!
Really nice video and animations. Keep it up!
While Matrixes are well known, used throughout computer graphics and geometry, it always has some part of magic to it (the additional component), that somehow makes it work, but is not understandable, feeling like some weird magic or secret knowledge. Geometric Algebra, especially PGA (Plane-Based, or Projective Geometric Algebra) allows for a much better understanding of what is going on, explaining the additional component, and allowing for a much more intuitive understanding of the elements and operations. Best part: It incorporates homegenious coordinates (moreover Plücker coordinates, complex numbers and quaternions), and is forward and backward convertible to homogenious coordinates and transformation matrixes. Bonus: less redundancy, higher computational efficiency, much less calculation lines and code. See czcams.com/video/60z_hpEAtD8/video.html&pp=iAQB
You explained this topic much better than Jim Blinn
Really cool, enjoyed it. How did you create the graphics for the video, really clean and smooth
It's made with a python library called Manim
@@MiolithYT thanks for the reply, appreciate it. Seems like Manim will be a project for 2024.
We make numerous interpretation errors when we do not develop adequate and corrected forms of observation, not necessarily the result of the use of machines, but naturally in our brain. This video is useful even to improve interpretations of quantum mechanics as a multiplier of the potential of the mind. This is my opinion that AI and others technologies, however modern, naturally serve to expand our abstract mind and enable creative tours through Hilbert space. Our brain commands technology, it only warns us about the need for more enhanced directions.
buddy nice work could you make videos on david c lay linear algebra , it is well known book in this area
Great first video !
Good animation plus explanation, 👊 Keep it up you will surely make great in future😊